diff --git a/sudoku/maps/100_all.txt b/sudoku/maps/100_all.txt
new file mode 100644
index 0000000..8452142
--- /dev/null
+++ b/sudoku/maps/100_all.txt
@@ -0,0 +1,66000 @@
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|            6 2  |
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|                 |
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+|                 |
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++-----------------+
++-----------------+
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+|    8     6      |
++-----------------+
++-----------------+
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+|  7         2 8 9|
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+|    2   4        |
++-----------------+
++-----------------+
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+|    5   8   9    |
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+|                 |
++-----------------+
++-----------------+
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+|      1   8 4    |
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+|  3 7   8     2  |
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|  2       6      |
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++-----------------+
++-----------------+
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+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
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+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
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+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
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+|          5 1   2|
+|      1 6       3|
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+|    9 6       3 1|
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+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
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+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
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+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
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+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
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+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
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+|          3     2|
+|1 5   9          |
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
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+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
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+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
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+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
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+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|            4 2 6|
+|2               7|
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+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
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+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|      1   9 3   6|
+|                 |
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+|  5     6 2     9|
++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|  4       9 5 8  |
++-----------------+
++-----------------+
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+|  4   7         9|
+|              3 4|
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++-----------------+
++-----------------+
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+|    4 2 5        |
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+|  1         8    |
++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|                 |
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+|  4   6         5|
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++-----------------+
++-----------------+
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+|        8   1    |
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+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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+|  1 5         8  |
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+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
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+|            6 2  |
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+|              8 2|
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++-----------------+
++-----------------+
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+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
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++-----------------+
++-----------------+
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+|  9     8     4  |
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+|  6     1     2  |
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+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
+|        1 9   2 6|
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++-----------------+
++-----------------+
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+|      9         6|
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+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
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+|      2         3|
+|  7         2 8 9|
+|    3       6    |
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+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
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+|    5   8   9    |
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+|  8 1   7   4 2  |
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+|                 |
++-----------------+
++-----------------+
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+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|        4        |
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+|          9     2|
++-----------------+
++-----------------+
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+|    8           3|
+|  1             8|
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+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|    1 9          |
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+|      1     6   9|
+|3   5       1   4|
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+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
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+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
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+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
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+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
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+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
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+|    3       4    |
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+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|                1|
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+|      9     1 4  |
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++-----------------+
++-----------------+
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+|    6       3    |
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+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
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+|  9         2   1|
+|    1 6     3   8|
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+|    4 2 9        |
++-----------------+
++-----------------+
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+|            2   6|
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+|      2     7   1|
+|  6   5       8  |
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++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
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+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
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+|                 |
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+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
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+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
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+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|      1   9 3   6|
+|                 |
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+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|            4 2 6|
+|2               7|
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+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
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+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
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+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
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++-----------------+
++-----------------+
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+|    8     6      |
++-----------------+
++-----------------+
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+|  7         2 8 9|
+|    3       6    |
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+|    2   4        |
++-----------------+
++-----------------+
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+|                 |
++-----------------+
++-----------------+
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+|      1   8 4    |
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++-----------------+
++-----------------+
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+|        4        |
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++-----------------+
++-----------------+
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+|  1             8|
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+|  2       6      |
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
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+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
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+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
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+|          5 1   2|
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+|2 3       9 5    |
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+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
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+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
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+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|      5     9   7|
+|  4           3  |
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+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  3             1|
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+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
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+|          5 1 3  |
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+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
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+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|            5 2  |
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++-----------------+
++-----------------+
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+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
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+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
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+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
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+|    1 2     7    |
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+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
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+|  9             2|
+|    4 8   5 9    |
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+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
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+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
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+|          3     2|
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
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+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
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+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
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+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
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+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
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+|    8 3   5 6    |
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+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
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+|  4       9 5 8  |
++-----------------+
++-----------------+
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+|              3 4|
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++-----------------+
++-----------------+
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+|    4 2 5        |
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+|  1         8    |
++-----------------+
++-----------------+
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+|            4 2 6|
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++-----------------+
++-----------------+
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+|                 |
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+|  4   6         5|
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++-----------------+
++-----------------+
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+|        8   1    |
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+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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+|  1 5         8  |
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+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
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+|  8 2            |
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+|            6 2  |
+|        5   7    |
+|              8 2|
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++-----------------+
++-----------------+
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+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
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++-----------------+
++-----------------+
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+|  6     1     2  |
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+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
+|        1 9   2 6|
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++-----------------+
++-----------------+
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+|              2  |
+|  3         5   7|
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+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
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+|      2         3|
+|  7         2 8 9|
+|    3       6    |
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+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
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+|  7 6   4   8 1  |
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+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
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+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
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+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
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+|    8           3|
+|  1             8|
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+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
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+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
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++-----------------+
++-----------------+
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+|      4 7     1  |
+|    6       8    |
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+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
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+|  7   4         3|
++-----------------+
++-----------------+
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+|  7 1           4|
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+|    3       2    |
+|      4   1     5|
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+|    9 1     8    |
++-----------------+
++-----------------+
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+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
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+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|      5     9   7|
+|  4           3  |
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+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|          6     5|
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+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
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+|  1 7 6          |
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+|          5 1 3  |
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+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
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+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
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+|    2   8 4     3|
+|              2  |
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++-----------------+
++-----------------+
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+|            5 2  |
+|  5         3 9  |
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++-----------------+
++-----------------+
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+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
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+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
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+|          3     2|
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
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+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
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+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
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+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
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+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
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+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
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+|                 |
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+|          2      |
+|4   1   7   3    |
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++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
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+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
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+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
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+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    2     7 9 6  |
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+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
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+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
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+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
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+|    9     3      |
++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|  1             8|
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+|  2       6      |
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++-----------------+
++-----------------+
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+|      1     6   9|
+|3   5       1   4|
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+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
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+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
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+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
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+|  4     8 5      |
++-----------------+
++-----------------+
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+|          5 1   2|
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+|    9 6       3 1|
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+|  7     2        |
++-----------------+
++-----------------+
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+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
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+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
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+|  7 1           4|
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+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
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+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
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+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
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+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
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+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
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++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
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+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|      2     1    |
++-----------------+
++-----------------+
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+|      1     3   5|
++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
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++-----------------+
++-----------------+
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+|    8     6      |
++-----------------+
++-----------------+
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+|  7         2 8 9|
+|    3       6    |
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+|    2   4        |
++-----------------+
++-----------------+
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+|    5   8   9    |
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+|                 |
++-----------------+
++-----------------+
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+|      1   8 4    |
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+|  3 7   8     2  |
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|  1             8|
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+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|      1     6   9|
+|3   5       1   4|
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+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
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+|6 5     7        |
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+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|  1   4 6   2 9  |
+|  6           7  |
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+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
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+|          5 1   2|
+|      1 6       3|
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+|    9 6       3 1|
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+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
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+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
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+|  7 1           4|
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+|    3       2    |
+|      4   1     5|
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+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
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+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
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+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
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+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
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+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|            4 2 6|
+|2               7|
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+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|      5     9   7|
+|  4           3  |
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+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  4 5 7   2 1 9  |
+|          6     5|
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+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
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+|  7              |
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+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
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+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|      1   9 3   6|
+|                 |
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+|  5     6 2     9|
++-----------------+
++-----------------+
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+|          7 4   2|
++-----------------+
++-----------------+
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+|  5 4 3         1|
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+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
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+|  4   7         9|
+|              3 4|
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++-----------------+
++-----------------+
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+|    4 2 5        |
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+|  1         8    |
++-----------------+
++-----------------+
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+|            4 2 6|
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++-----------------+
++-----------------+
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+|                 |
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+|  4   6         5|
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+|  2       4     8|
++-----------------+
++-----------------+
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+|        8   1    |
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+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  1         6    |
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+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
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++-----------------+
++-----------------+
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+|            2 9  |
+|    1 9          |
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+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
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++-----------------+
++-----------------+
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+|  9     8     4  |
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+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
+|        1 9   2 6|
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++-----------------+
++-----------------+
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+|        2 1 6    |
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+|  3         5   7|
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+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
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+|      2         3|
+|  7         2 8 9|
+|    3       6    |
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+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
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+|    5   8   9    |
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+|  8 1   7   4 2  |
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+|                 |
++-----------------+
++-----------------+
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+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
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+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
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+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|    1 9          |
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+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
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++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
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+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
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+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
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+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|    3       4    |
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+|  5         8 6  |
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++-----------------+
++-----------------+
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+|                1|
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++-----------------+
++-----------------+
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+|    6       3    |
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+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
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+|  9         2   1|
+|    1 6     3   8|
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+|    4 2 9        |
++-----------------+
++-----------------+
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+|            2   6|
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+|      2     7   1|
+|  6   5       8  |
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++-----------------+
++-----------------+
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+|  7     6     8  |
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+|                 |
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+|  9     3     6  |
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+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|                 |
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+|          2      |
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++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
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+|    5 3   6 9    |
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+|    1 9   7 5    |
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+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    2     7 9 6  |
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+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|    6           1|
+|  4     8     3  |
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+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|  1 5 3 4   9 6 7|
+|  8             5|
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++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|            4 2 6|
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+|    5   6   1    |
+|        4 9     5|
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++-----------------+
++-----------------+
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+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
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+|  2       4     8|
++-----------------+
++-----------------+
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+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
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+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
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+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
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+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
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++-----------------+
++-----------------+
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+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
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++-----------------+
++-----------------+
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+|      9         6|
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+|    8     6      |
++-----------------+
++-----------------+
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+|  7         2 8 9|
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+|    2   4        |
++-----------------+
++-----------------+
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+|    5   8   9    |
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+|                 |
++-----------------+
++-----------------+
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+|      1   8 4    |
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++-----------------+
++-----------------+
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+|        4        |
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++-----------------+
++-----------------+
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+|  1             8|
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+|  2       6      |
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++-----------------+
++-----------------+
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+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
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+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
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+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
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+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
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+|    9 6       3 1|
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+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
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+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
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+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|      5     9   7|
+|  4           3  |
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+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|    3     8 7   1|
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+|    2   8 4     3|
+|              2  |
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++-----------------+
++-----------------+
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+|            5 2  |
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++-----------------+
++-----------------+
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+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
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+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
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+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
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+|        6   3   5|
+|    1 2     7    |
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+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
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+|  9             2|
+|    4 8   5 9    |
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+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
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+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|          9   5 7|
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+|          3     2|
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
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+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
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+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
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+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
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+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
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+|          7 4   2|
++-----------------+
++-----------------+
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+|  5 4 3         1|
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+|  4       9 5 8  |
++-----------------+
++-----------------+
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+|  4   7         9|
+|              3 4|
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++-----------------+
++-----------------+
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+|    4 2 5        |
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+|  1         8    |
++-----------------+
++-----------------+
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+|            4 2 6|
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++-----------------+
++-----------------+
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+|                 |
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+|  4   6         5|
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++-----------------+
++-----------------+
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+|        8   1    |
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+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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+|  1 5         8  |
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+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
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+|            6 2  |
+|        5   7    |
+|              8 2|
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++-----------------+
++-----------------+
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+|    3       4    |
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+|          8 7    |
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++-----------------+
++-----------------+
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+|  6     1     2  |
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+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
+|        1 9   2 6|
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++-----------------+
++-----------------+
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+|              2  |
+|  3         5   7|
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+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
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+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
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+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
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+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|        4        |
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+|1 2       3      |
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+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
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+|    8           3|
+|  1             8|
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+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
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+|          3     2|
+|1 5   9          |
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
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+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
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+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
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+|  4     8 5      |
++-----------------+
++-----------------+
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+|    9 6       3 1|
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++-----------------+
++-----------------+
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+|      4 7     1  |
+|    6       8    |
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+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
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+|  7   4         3|
++-----------------+
++-----------------+
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+|    3       2    |
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+|    9 1     8    |
++-----------------+
++-----------------+
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+|  5 8 9   2      |
+|  2           9  |
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+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|      5     9   7|
+|  4           3  |
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+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|          6     5|
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+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
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+|  1 7 6          |
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+|          5 1 3  |
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+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
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+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|    3     8 7   1|
+|2 5           4 9|
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+|    2   8 4     3|
+|              2  |
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++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
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+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
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++-----------------+
++-----------------+
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+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
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+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
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+|          3     2|
+|1 5   9          |
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
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+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
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+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
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+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
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+|            2   6|
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+|      2     7   1|
+|  6   5       8  |
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++-----------------+
++-----------------+
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+|                 |
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+|  9     3     6  |
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+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|                 |
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+|          2      |
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++-----------------+
++-----------------+
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+|  6     3   1    |
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++-----------------+
++-----------------+
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+|    5 3   6 9    |
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+|    1 9   7 5    |
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+|  9           2  |
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++-----------------+
++-----------------+
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+|    2     7 9 6  |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|    6           1|
+|  4     8     3  |
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+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|  1 5 3 4   9 6 7|
+|  8             5|
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++-----------------+
++-----------------+
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+|      1   9 3   6|
+|                 |
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+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
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+|      4 7 8      |
+|  5 4 3         1|
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+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
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+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|            4 2 6|
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+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
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+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
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+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
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+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
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+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
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+|      2   6 9    |
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+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|3 7           8 1|
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+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
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+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
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+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
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+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
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+|                 |
++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|  2       6      |
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|        9     6 2|
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+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      4 9        |
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++-----------------+
++-----------------+
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
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+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|  6           7  |
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+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|    1 8   4     6|
+|                 |
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+|  4     8 5      |
++-----------------+
++-----------------+
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+|    9 6       3 1|
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+|  7     2        |
++-----------------+
++-----------------+
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+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
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+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
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+|  7 1           4|
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+|    3       2    |
+|      4   1     5|
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+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
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+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|      5     9   7|
+|  4           3  |
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+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  4 5 7   2 1 9  |
+|          6     5|
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+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
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+|  1 7 6          |
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+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
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+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
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+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
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+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
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+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
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+|          3     2|
+|1 5   9          |
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|            4 2 6|
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+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
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+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
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+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
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+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
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+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
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+|          3     2|
+|1 5   9          |
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
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+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
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+|                 |
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++-----------------+
++-----------------+
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+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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+|  1 5         8  |
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+|  4   5   1 8 7  |
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+|      2     1    |
++-----------------+
++-----------------+
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+|      1     3   5|
++-----------------+
++-----------------+
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+|            6 2  |
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++-----------------+
++-----------------+
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+|    3       4    |
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+|          8 7    |
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++-----------------+
++-----------------+
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+|  6     1     2  |
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+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
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++-----------------+
++-----------------+
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+|    8     6      |
++-----------------+
++-----------------+
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+|      2         3|
+|  7         2 8 9|
+|    3       6    |
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+|    2   4        |
++-----------------+
++-----------------+
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+|    5   8   9    |
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+|                 |
++-----------------+
++-----------------+
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+|      1   8 4    |
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+|  3 7   8     2  |
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|  1             8|
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+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|      1     6   9|
+|3   5       1   4|
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+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
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+|6 5     7        |
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+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
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+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
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+|          5 1   2|
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+|    9 6       3 1|
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+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
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+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
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+|  7 1           4|
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+|    3       2    |
+|      4   1     5|
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+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
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+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
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+|          3     2|
+|1 5   9          |
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
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+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
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+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|            4 2 6|
+|2               7|
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+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
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+|  9           2  |
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++-----------------+
++-----------------+
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+|    2     7 9 6  |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|    6           1|
+|  4     8     3  |
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+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|  1 5 3 4   9 6 7|
+|  8             5|
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++-----------------+
++-----------------+
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+|      1   9 3   6|
+|                 |
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+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
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+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|            4 2 6|
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+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
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+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
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+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
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+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|      4 8 2      |
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++-----------------+
++-----------------+
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+|1     8   7     4|
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+|        2 9     1|
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++-----------------+
++-----------------+
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+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|                1|
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+|    8     2      |
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++-----------------+
++-----------------+
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+|    6       3    |
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+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
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+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
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+|            2   6|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
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+|  9     3     6  |
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+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|                 |
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+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
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+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
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+|  5           6  |
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+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
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+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
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+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
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++-----------------+
++-----------------+
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+|    3       4    |
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+|          8 7    |
+|  1 5            |
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++-----------------+
++-----------------+
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+|  6     1     2  |
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+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
+|        1 9   2 6|
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++-----------------+
++-----------------+
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+|  3         5   7|
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+|      9         6|
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+|    8     6      |
++-----------------+
++-----------------+
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+|      2         3|
+|  7         2 8 9|
+|    3       6    |
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+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
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+|    5   8   9    |
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+|  8 1   7   4 2  |
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+|                 |
++-----------------+
++-----------------+
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+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|7   1     2     4|
+|        4        |
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+|          9     2|
++-----------------+
++-----------------+
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+|    8           3|
+|  1             8|
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+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|      1     6   9|
+|3   5       1   4|
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+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
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+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
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+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
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+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
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+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
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+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
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++-----------------+
++-----------------+
+|    2 4 7   6    |
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+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
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+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
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+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
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+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
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+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
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+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
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+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
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+|          7 4   2|
++-----------------+
++-----------------+
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
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+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
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+|          9 5    |
++-----------------+
++-----------------+
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+|    4 2 5        |
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+|        1 3 2    |
+|  8   3 4   5 1  |
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+|  1         8    |
++-----------------+
++-----------------+
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+|            4 2 6|
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+|    5   6   1    |
+|        4 9     5|
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++-----------------+
++-----------------+
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+|                 |
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+|  4   6         5|
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+|  2       4     8|
++-----------------+
++-----------------+
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+|      8     5   3|
+|        8   1    |
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+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
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+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
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+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
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+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
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+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
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+|2 3       9 5    |
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+|    9 6       3 1|
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+|  7     2        |
++-----------------+
++-----------------+
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+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
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+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
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+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
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+|    6       3    |
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+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
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+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
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+|            2   6|
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+|      2     7   1|
+|  6   5       8  |
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++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
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+|  9     3     6  |
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+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
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+|                 |
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+|          2      |
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++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
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+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
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+|  5           6  |
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+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
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+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|      6     8   9|
+|    2     7 9 6  |
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+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
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+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|            4 2 6|
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+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
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+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
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+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
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+|      2         3|
+|  7         2 8 9|
+|    3       6    |
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+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
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+|    5   8   9    |
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+|  8 1   7   4 2  |
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+|                 |
++-----------------+
++-----------------+
+|      3     1    |
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+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
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+|          9     2|
++-----------------+
++-----------------+
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+|    8           3|
+|  1             8|
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+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
+|    3   4        |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
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+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
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+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
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+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
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+|    1 6       7  |
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+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
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+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
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+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
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+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|                 |
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++-----------------+
++-----------------+
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+|    1   3        |
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+|  8     6        |
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|      1     3   5|
++-----------------+
++-----------------+
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+|            6 2  |
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++-----------------+
++-----------------+
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+|    3       4    |
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++-----------------+
++-----------------+
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+|  6     1     2  |
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+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
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++-----------------+
++-----------------+
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+|      9         6|
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+|    8     6      |
++-----------------+
++-----------------+
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+|      2         3|
+|  7         2 8 9|
+|    3       6    |
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+|    2   4        |
++-----------------+
++-----------------+
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+|    5   8   9    |
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+|                 |
++-----------------+
++-----------------+
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+|      1   8 4    |
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+|  3 7   8     2  |
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++-----------------+
++-----------------+
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+|        4        |
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++-----------------+
++-----------------+
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+|  1             8|
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+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|      1     6   9|
+|3   5       1   4|
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+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
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+|6 5     7        |
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+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
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+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
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+|          5 1   2|
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+|2 3       9 5    |
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+|    9 6       3 1|
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+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
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+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
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+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
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+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
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+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
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+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  3             1|
+|      6   4     2|
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+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
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+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
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+|          3     2|
+|1 5   9          |
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
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+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
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+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|            4 2 6|
+|2               7|
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+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
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+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
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+|    9 1     8    |
++-----------------+
++-----------------+
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+|  5 8 9   2      |
+|  2           9  |
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+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|      5     9   7|
+|  4           3  |
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+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  9 1   6   4    |
++-----------------+
++-----------------+
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+|  1 7 6          |
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+|          5 1 3  |
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+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
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+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
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+|    2   8 4     3|
+|              2  |
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++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
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+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
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++-----------------+
++-----------------+
+|    2 4 7   6    |
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+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
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+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
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+|  9             2|
+|    4 8   5 9    |
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+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
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+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
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+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
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+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
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+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
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+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|        9     6 2|
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+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|          1   9  |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|  6           7  |
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+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|    1 8   4     6|
+|                 |
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|      4 7     1  |
+|    6       8    |
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+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  4   9   6   5  |
+|      7 8     2  |
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+|  7   4         3|
++-----------------+
++-----------------+
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+|    3       2    |
+|      4   1     5|
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+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
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+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|      5     9   7|
+|  4           3  |
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+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|      6   4     2|
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+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
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+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
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+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
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+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
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+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
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++-----------------+
++-----------------+
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+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
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+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
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+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
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+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
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+|  9             2|
+|    4 8   5 9    |
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+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
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+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
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+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
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+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
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+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
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+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
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+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
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+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
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+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
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+|  8 2            |
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+|            6 2  |
+|        5   7    |
+|              8 2|
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++-----------------+
++-----------------+
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+|            2 9  |
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+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
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++-----------------+
++-----------------+
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+|  9     8     4  |
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+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
+|        1 9   2 6|
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++-----------------+
++-----------------+
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+|              2  |
+|  3         5   7|
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+|      9         6|
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+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
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+|      2         3|
+|  7         2 8 9|
+|    3       6    |
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+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
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+|    5   8   9    |
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+|  8 1   7   4 2  |
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+|                 |
++-----------------+
++-----------------+
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+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|  7     6     5 9|
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+|7   1     2     4|
+|        4        |
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+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
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+|    8           3|
+|  1             8|
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+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
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+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
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++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
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++-----------------+
++-----------------+
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+|      1   9 3   6|
+|                 |
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+|  5     6 2     9|
++-----------------+
++-----------------+
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+|          7 4   2|
++-----------------+
++-----------------+
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+|  5 4 3         1|
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+|  4       9 5 8  |
++-----------------+
++-----------------+
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+|  4   7         9|
+|              3 4|
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++-----------------+
++-----------------+
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+|    4 2 5        |
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+|  1         8    |
++-----------------+
++-----------------+
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+|            4 2 6|
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++-----------------+
++-----------------+
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+|                 |
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+|  4   6         5|
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++-----------------+
++-----------------+
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+|        8   1    |
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+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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+|  1 5         8  |
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+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
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+|            6 2  |
+|        5   7    |
+|              8 2|
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++-----------------+
++-----------------+
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+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
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++-----------------+
++-----------------+
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+|  9     8     4  |
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+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
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+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
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+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
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+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
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+|    5   8   9    |
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+|  8 1   7   4 2  |
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+|                 |
++-----------------+
++-----------------+
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+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
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+|          9     2|
++-----------------+
++-----------------+
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+|    8           3|
+|  1             8|
+|5       4       9|
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+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
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+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
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+|    8     6      |
++-----------------+
++-----------------+
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+|  7         2 8 9|
+|    3       6    |
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+|    2   4        |
++-----------------+
++-----------------+
+|                 |
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+|    5   8   9    |
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+|                 |
++-----------------+
++-----------------+
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+|      1   8 4    |
+|  7           8  |
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+|  3 7   8     2  |
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++-----------------+
++-----------------+
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+|        4        |
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++-----------------+
++-----------------+
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+|  1             8|
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+|  2       6      |
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++-----------------+
++-----------------+
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+|      1     6   9|
+|3   5       1   4|
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+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
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+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
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+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
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+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
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+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|      5     9   7|
+|  4           3  |
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+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
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+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
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+|    1 5         2|
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+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
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+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
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+|        6   3   5|
+|    1 2     7    |
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+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
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+|  9             2|
+|    4 8   5 9    |
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+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
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+|                 |
+|    7   6 5 8    |
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+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
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+|          3     2|
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
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+|6         4     2|
+|1     8   7     4|
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+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
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+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
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+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
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+|    8 3   5 6    |
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+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
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+|  1         8    |
++-----------------+
++-----------------+
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+|            4 2 6|
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++-----------------+
++-----------------+
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+|                 |
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+|  4   6         5|
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++-----------------+
++-----------------+
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+|    1   3        |
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+|  8     6        |
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|      1     3   5|
++-----------------+
++-----------------+
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+|            6 2  |
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++-----------------+
++-----------------+
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+|    3       4    |
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++-----------------+
++-----------------+
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+|  6     1     2  |
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+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
+|        1 9   2 6|
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++-----------------+
++-----------------+
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+|      9         6|
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+|    8     6      |
++-----------------+
++-----------------+
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+|  7         2 8 9|
+|    3       6    |
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+|    2   4        |
++-----------------+
++-----------------+
+|                 |
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+|    5   8   9    |
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+|                 |
++-----------------+
++-----------------+
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+|      1   8 4    |
+|  7           8  |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|        4        |
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+|          9     2|
++-----------------+
++-----------------+
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+|  1             8|
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+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|      1     6   9|
+|3   5       1   4|
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+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
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+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
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+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
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+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
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+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
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+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
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+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
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+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
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+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
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+|  4   9   6   5  |
+|      7 8     2  |
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+|  7   4         3|
++-----------------+
++-----------------+
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+|  7 1           4|
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+|    3       2    |
+|      4   1     5|
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+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
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+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|      5     9   7|
+|  4           3  |
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+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  4 5 7   2 1 9  |
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+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
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+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
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+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
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++-----------------+
++-----------------+
+|    2 4 7   6    |
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+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
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+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
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+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|                 |
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++-----------------+
++-----------------+
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+|  6     3   1    |
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++-----------------+
++-----------------+
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+|    5 3   6 9    |
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+|  9           2  |
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++-----------------+
++-----------------+
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+|    2     7 9 6  |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|  4     8     3  |
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+|  8 7   9       6|
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++-----------------+
++-----------------+
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+|  1 5 3 4   9 6 7|
+|  8             5|
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++-----------------+
++-----------------+
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+|      1   9 3   6|
+|                 |
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+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|  2 4 3   5 1 8  |
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+|          7 4   2|
++-----------------+
++-----------------+
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+|  5 4 3         1|
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+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
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++-----------------+
++-----------------+
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+|    4 2 5        |
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+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
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+|            4 2 6|
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+|    5   6   1    |
+|        4 9     5|
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++-----------------+
++-----------------+
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+|        1       6|
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+|                 |
+|    8   2   5   7|
+|  4   6         5|
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+|  2       4     8|
++-----------------+
++-----------------+
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+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
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+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
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+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
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+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|3 7           8 1|
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+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
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+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
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+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
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+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
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+|          3     2|
+|1 5   9          |
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
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+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
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+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
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+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
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+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
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+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
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+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
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++-----------------+
++-----------------+
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+|  2       6      |
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++-----------------+
++-----------------+
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+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
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+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
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+|          5 1   2|
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+|2 3       9 5    |
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+|    9 6       3 1|
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+|  7     2        |
++-----------------+
++-----------------+
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+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
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+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|          9   5 7|
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+|          3     2|
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+|          2   1 4|
++-----------------+
++-----------------+
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+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
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++-----------------+
++-----------------+
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+|    5   9   1    |
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
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++-----------------+
++-----------------+
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+|6         4     2|
+|1     8   7     4|
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+|        2 9     1|
+|  1   5 7        |
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++-----------------+
++-----------------+
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+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
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+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
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+|    8 3   5 6    |
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+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
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+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
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+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
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+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
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+|  8 2            |
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+|            6 2  |
+|        5   7    |
+|              8 2|
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++-----------------+
++-----------------+
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+|    3       4    |
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+|          8 7    |
+|  1 5            |
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++-----------------+
++-----------------+
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+|  9     8     4  |
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+|  6     1     2  |
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+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
+|        1 9   2 6|
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++-----------------+
++-----------------+
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+|              2  |
+|  3         5   7|
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+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
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+|      2         3|
+|  7         2 8 9|
+|    3       6    |
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+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
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+|    5   8   9    |
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+|  8 1   7   4 2  |
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+|                 |
++-----------------+
++-----------------+
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+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|  7     6     5 9|
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+|7   1     2     4|
+|        4        |
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+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
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+|    8           3|
+|  1             8|
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+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|      1     6   9|
+|3   5       1   4|
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+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
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+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
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+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
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+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|            4 2 6|
+|2               7|
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+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
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+|  4     8     3  |
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+|  8 7   9       6|
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++-----------------+
++-----------------+
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+|  1 5 3 4   9 6 7|
+|  8             5|
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++-----------------+
++-----------------+
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+|      1   9 3   6|
+|                 |
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+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|  1           7  |
+|  2 4 3   5 1 8  |
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+|          7 4   2|
++-----------------+
++-----------------+
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
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+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
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+|          9 5    |
++-----------------+
++-----------------+
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+|    4 2 5        |
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+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
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+|            4 2 6|
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+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
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+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
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+|  2       4     8|
++-----------------+
++-----------------+
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+|        8   1    |
+|5   4       7   9|
+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
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+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
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+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
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+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
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+|    3       4    |
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+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|                1|
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+|      9     1 4  |
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++-----------------+
++-----------------+
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+|    6       3    |
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+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
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+|  9         2   1|
+|    1 6     3   8|
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+|    4 2 9        |
++-----------------+
++-----------------+
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+|            2   6|
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+|      2     7   1|
+|  6   5       8  |
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++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
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+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
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+|                 |
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+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
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+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
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+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|      1   9 3   6|
+|                 |
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+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|            4 2 6|
+|2               7|
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+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
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+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
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+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
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++-----------------+
++-----------------+
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+|    8     6      |
++-----------------+
++-----------------+
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+|  7         2 8 9|
+|    3       6    |
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+|    2   4        |
++-----------------+
++-----------------+
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+|                 |
++-----------------+
++-----------------+
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+|      1   8 4    |
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++-----------------+
++-----------------+
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+|        4        |
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++-----------------+
++-----------------+
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+|  1             8|
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+|  2       6      |
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
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+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
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+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
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+|          5 1   2|
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+|2 3       9 5    |
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+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
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+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
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+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|      5     9   7|
+|  4           3  |
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+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  3             1|
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+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
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+|          5 1 3  |
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+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
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+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|            5 2  |
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++-----------------+
++-----------------+
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+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
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+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
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+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
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+|    1 2     7    |
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+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
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+|  9             2|
+|    4 8   5 9    |
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+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
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+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
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+|          3     2|
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
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+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
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+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
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+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
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+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
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+|    8 3   5 6    |
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+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
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+|  4       9 5 8  |
++-----------------+
++-----------------+
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+|              3 4|
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++-----------------+
++-----------------+
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+|    4 2 5        |
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+|  1         8    |
++-----------------+
++-----------------+
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+|            4 2 6|
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++-----------------+
++-----------------+
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+|                 |
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+|  4   6         5|
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++-----------------+
++-----------------+
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+|        8   1    |
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+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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+|  1 5         8  |
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+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
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+|  8 2            |
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+|            6 2  |
+|        5   7    |
+|              8 2|
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++-----------------+
++-----------------+
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+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
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++-----------------+
++-----------------+
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+|  6     1     2  |
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+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
+|        1 9   2 6|
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++-----------------+
++-----------------+
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+|              2  |
+|  3         5   7|
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+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
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+|      2         3|
+|  7         2 8 9|
+|    3       6    |
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+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
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+|  7 6   4   8 1  |
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+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
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+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
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+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
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+|    8           3|
+|  1             8|
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+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
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+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
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++-----------------+
++-----------------+
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+|      4 7     1  |
+|    6       8    |
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+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
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+|  7   4         3|
++-----------------+
++-----------------+
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+|  7 1           4|
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+|    3       2    |
+|      4   1     5|
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+|    9 1     8    |
++-----------------+
++-----------------+
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+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
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+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|      5     9   7|
+|  4           3  |
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+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|          6     5|
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+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
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+|  1 7 6          |
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+|          5 1 3  |
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+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
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+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
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+|    2   8 4     3|
+|              2  |
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++-----------------+
++-----------------+
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+|            5 2  |
+|  5         3 9  |
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++-----------------+
++-----------------+
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+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
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+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
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+|          3     2|
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
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+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
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+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
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+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
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+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
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+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
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+|                 |
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+|          2      |
+|4   1   7   3    |
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++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
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+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
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+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
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+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    2     7 9 6  |
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+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
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+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
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+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
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+|    9     3      |
++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|  1             8|
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+|  2       6      |
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++-----------------+
++-----------------+
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+|      1     6   9|
+|3   5       1   4|
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+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
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+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
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+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
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+|  4     8 5      |
++-----------------+
++-----------------+
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+|          5 1   2|
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+|    9 6       3 1|
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+|  7     2        |
++-----------------+
++-----------------+
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+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
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+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
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+|  7 1           4|
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+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
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+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
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+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
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+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
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+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
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++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
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+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|      2     1    |
++-----------------+
++-----------------+
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+|      1     3   5|
++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
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++-----------------+
++-----------------+
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+|    8     6      |
++-----------------+
++-----------------+
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+|  7         2 8 9|
+|    3       6    |
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+|    2   4        |
++-----------------+
++-----------------+
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+|    5   8   9    |
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+|                 |
++-----------------+
++-----------------+
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+|      1   8 4    |
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+|  3 7   8     2  |
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|  1             8|
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+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|      1     6   9|
+|3   5       1   4|
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+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
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+|6 5     7        |
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+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|  1   4 6   2 9  |
+|  6           7  |
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+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
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+|          5 1   2|
+|      1 6       3|
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+|    9 6       3 1|
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+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
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+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
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+|  7 1           4|
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+|    3       2    |
+|      4   1     5|
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+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
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+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
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+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
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+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
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+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|            4 2 6|
+|2               7|
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+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|      5     9   7|
+|  4           3  |
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+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  4 5 7   2 1 9  |
+|          6     5|
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+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
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+|  7              |
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+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
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+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|      1   9 3   6|
+|                 |
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+|  5     6 2     9|
++-----------------+
++-----------------+
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+|          7 4   2|
++-----------------+
++-----------------+
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+|  5 4 3         1|
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+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
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+|  4   7         9|
+|              3 4|
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++-----------------+
++-----------------+
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+|    4 2 5        |
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+|  1         8    |
++-----------------+
++-----------------+
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+|            4 2 6|
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++-----------------+
++-----------------+
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+|                 |
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+|  4   6         5|
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+|  2       4     8|
++-----------------+
++-----------------+
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+|        8   1    |
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+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  1         6    |
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+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
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++-----------------+
++-----------------+
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+|            2 9  |
+|    1 9          |
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+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
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++-----------------+
++-----------------+
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+|  9     8     4  |
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+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
+|        1 9   2 6|
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++-----------------+
++-----------------+
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+|        2 1 6    |
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+|  3         5   7|
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+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
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+|      2         3|
+|  7         2 8 9|
+|    3       6    |
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+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
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+|    5   8   9    |
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+|  8 1   7   4 2  |
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+|                 |
++-----------------+
++-----------------+
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+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
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+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
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+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|    1 9          |
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+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
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++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
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+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
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+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
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+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
diff --git a/sudoku/maps/10_all.txt b/sudoku/maps/10_all.txt
new file mode 100644
index 0000000..54bdb2c
--- /dev/null
+++ b/sudoku/maps/10_all.txt
@@ -0,0 +1,6600 @@
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|  6     1     2  |
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+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
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++-----------------+
++-----------------+
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+|    8     6      |
++-----------------+
++-----------------+
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+|  7         2 8 9|
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+|    2   4        |
++-----------------+
++-----------------+
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+|    5   8   9    |
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+|                 |
++-----------------+
++-----------------+
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+|      1   8 4    |
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|  1             8|
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+|  2       6      |
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++-----------------+
++-----------------+
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+|          5 4    |
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++-----------------+
++-----------------+
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+|        9     6 2|
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+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
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+|          5 1   2|
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+|    9 6       3 1|
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+|  7     2        |
++-----------------+
++-----------------+
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+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
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+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
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+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
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+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
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+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
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+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
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+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|            4 2 6|
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+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
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+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
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+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
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+|    2   8 4     3|
+|              2  |
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++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
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+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
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++-----------------+
++-----------------+
+|    2 4 7   6    |
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+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
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+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
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+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
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+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
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+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
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+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
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+|          3     2|
+|1 5   9          |
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
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+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
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+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
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+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
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+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
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+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|    1 8   4     6|
+|                 |
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++-----------------+
++-----------------+
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+|    9 6       3 1|
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+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
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+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  4   9   6   5  |
+|      7 8     2  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
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+|  7 1           4|
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+|    3       2    |
+|      4   1     5|
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+|    9 1     8    |
++-----------------+
++-----------------+
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+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
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+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|      5     9   7|
+|  4           3  |
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+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
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+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
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+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
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+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
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+|            2   6|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
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+|  9     3     6  |
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+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|      9          |
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+|                 |
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+|          2      |
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++-----------------+
++-----------------+
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+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
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+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
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+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    2     7 9 6  |
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+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
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+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|      1   9 3   6|
+|                 |
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+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
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+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
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+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
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+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
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++-----------------+
++-----------------+
+|                 |
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+|                 |
++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|        9     6 2|
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+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      4 9        |
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++-----------------+
++-----------------+
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+|  6         5    |
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+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|          1   9  |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|  6           7  |
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+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|    1 8   4     6|
+|                 |
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|      4 7     1  |
+|    6       8    |
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+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
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+|  7   4         3|
++-----------------+
++-----------------+
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+|  7 1           4|
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+|    3       2    |
+|      4   1     5|
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+|    9 1     8    |
++-----------------+
++-----------------+
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+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
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+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|  4           3  |
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+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|          6     5|
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+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
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+|  1 7 6          |
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+|          5 1 3  |
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+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
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+|    2   8 4     3|
+|              2  |
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++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
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+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
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++-----------------+
++-----------------+
+|    2 4 7   6    |
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+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
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+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
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+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
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+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
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+|  9             2|
+|    4 8   5 9    |
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+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
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+|          3     2|
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
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+|    5   9   1    |
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+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
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+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
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+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
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+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
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+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
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+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|            4 2 6|
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+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
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+|        9     7  |
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+|        8   1    |
+|5   4       7   9|
+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
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+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
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+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
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+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
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+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
diff --git a/sudoku/maps/10_compil.txt b/sudoku/maps/10_compil.txt
new file mode 100644
index 0000000..85ca38c
--- /dev/null
+++ b/sudoku/maps/10_compil.txt
@@ -0,0 +1,54551 @@
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
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+|    5 3     9    |
+|  1     8       2|
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+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
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+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
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+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
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++-----------------+
++-----------------+
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+|    9 6       3 1|
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+|  7     2        |
++-----------------+
++-----------------+
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+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
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+|  7   4         3|
++-----------------+
++-----------------+
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+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  7         5    |
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+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|      5     9   7|
+|  4           3  |
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+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
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+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
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+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
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+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|                 |
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+|                 |
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++-----------------+
++-----------------+
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+|    8     6      |
++-----------------+
++-----------------+
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+|  7         2 8 9|
+|    3       6    |
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+|    2   4        |
++-----------------+
++-----------------+
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+|    5   8   9    |
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+|                 |
++-----------------+
++-----------------+
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+|      1   8 4    |
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+|  3 7   8     2  |
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++-----------------+
++-----------------+
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+|          9     2|
++-----------------+
++-----------------+
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+|  1             8|
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+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|      1     6   9|
+|3   5       1   4|
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+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
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+|6 5     7        |
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+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
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+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
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+|          3     2|
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+|          2   1 4|
++-----------------+
++-----------------+
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+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
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++-----------------+
++-----------------+
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
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+|1     8   7     4|
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+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
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+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
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+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
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+|    8 3   5 6    |
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+|    6       3    |
+|7     9   1     4|
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+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
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+|5   8         6  |
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+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
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+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
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+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
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+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
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+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
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++-----------------+
++-----------------+
+|1         2   3  |
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
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+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
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+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
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+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
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+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
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+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
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+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
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+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
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+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
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+|    8 3   5 6    |
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+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
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+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
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+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|      5     9   7|
+|  4           3  |
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+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|      6   4     2|
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+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
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+|  7              |
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+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
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+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
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+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
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++-----------------+
++-----------------+
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+|    8     6      |
++-----------------+
++-----------------+
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+|  7         2 8 9|
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+|    2   4        |
++-----------------+
++-----------------+
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+|                 |
++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|  1             8|
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+|  2       6      |
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++-----------------+
++-----------------+
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+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
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+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
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+|  6         5    |
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+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
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+|          3     2|
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+|          2   1 4|
++-----------------+
++-----------------+
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+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
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++-----------------+
++-----------------+
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+|1     8   7     4|
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+|        2 9     1|
+|  1   5 7        |
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++-----------------+
++-----------------+
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+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
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+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
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+|    8 3   5 6    |
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+|    6       3    |
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+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
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+|5   8         6  |
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+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
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+|            2   6|
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+|      2     7   1|
+|  6   5       8  |
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++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
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+|  9     3     6  |
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+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
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+|                 |
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+|          2      |
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+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
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+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
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+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
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+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
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+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
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+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
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+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
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+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
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+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
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+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
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+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
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+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
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+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
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+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
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+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
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+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|              2  |
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++-----------------+
++-----------------+
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+|            5 2  |
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|  4           5  |
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+|  1       4 3    |
+|    7     9 5 8  |
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++-----------------+
++-----------------+
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+|    1 2     7    |
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+|  8   1     9    |
++-----------------+
++-----------------+
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+|  9             2|
+|    4 8   5 9    |
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+|      1       2  |
++-----------------+
++-----------------+
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+|                 |
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+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|    4 2 5        |
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+|  1         8    |
++-----------------+
++-----------------+
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+|            4 2 6|
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++-----------------+
++-----------------+
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+|                 |
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+|  4   6         5|
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+|  2       4     8|
++-----------------+
++-----------------+
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+|        8   1    |
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+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
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+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
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++-----------------+
++-----------------+
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+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|3 7           8 1|
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+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
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+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
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+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
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+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
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+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
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+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
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++-----------------+
++-----------------+
+|1         2   3  |
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
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+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|      1     6   9|
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+|6   8     3      |
+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
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+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
+|    3   4        |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
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+|          3     2|
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
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+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
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+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
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+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
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+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
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+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
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+|  4   7         9|
+|              3 4|
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++-----------------+
++-----------------+
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+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
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+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|  4     8 5      |
++-----------------+
++-----------------+
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+|    9 6       3 1|
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++-----------------+
++-----------------+
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+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
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+|  7 1           4|
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+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
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+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
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+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
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+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
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+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
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+|                 |
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++-----------------+
++-----------------+
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+|  1         8    |
++-----------------+
++-----------------+
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+|            4 2 6|
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++-----------------+
++-----------------+
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+|                 |
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+|  4   6         5|
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++-----------------+
++-----------------+
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+|        8   1    |
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+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
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+|  8 2            |
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+|            6 2  |
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+|              8 2|
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++-----------------+
++-----------------+
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+|    3       4    |
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+|          8 7    |
+|  1 5            |
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++-----------------+
++-----------------+
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+|  9     8     4  |
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+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
+|        1 9   2 6|
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++-----------------+
++-----------------+
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
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+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
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+|  7 6   4   8 1  |
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+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
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+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|    1 9          |
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+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
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+|          3     2|
+|1 5   9          |
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
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+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
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+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
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++-----------------+
++-----------------+
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+|        2 9     1|
+|  1   5 7        |
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++-----------------+
++-----------------+
+|    7 6     2 4  |
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+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
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+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
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+|    6       3    |
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+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
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+|5   8         6  |
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+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
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+|  7       9   6  |
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+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
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+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
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+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
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+|            6 2  |
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+|              8 2|
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|  9     8     4  |
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+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
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++-----------------+
++-----------------+
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+|      9         6|
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+|    8     6      |
++-----------------+
++-----------------+
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+|      2         3|
+|  7         2 8 9|
+|    3       6    |
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+|    2   4        |
++-----------------+
++-----------------+
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+|    5   8   9    |
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+|                 |
++-----------------+
++-----------------+
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+|      1   8 4    |
+|  7           8  |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|      4       6 1|
+|7   1     2     4|
+|        4        |
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+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
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+|    8           3|
+|  1             8|
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+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|      1     6   9|
+|3   5       1   4|
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+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
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+|          3     2|
+|1 5   9          |
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
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+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
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+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
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+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
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+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
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+|    8 3   5 6    |
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+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
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+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
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+|5   8         6  |
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+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
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+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
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+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
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+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
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+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|                 |
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+|          2      |
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++-----------------+
++-----------------+
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+|      7       2 1|
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+|3 1       4      |
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+|  6     3   1    |
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++-----------------+
++-----------------+
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+|    5 3   6 9    |
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+|    1 9   7 5    |
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+|  9           2  |
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++-----------------+
++-----------------+
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+|    2     7 9 6  |
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+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|    6           1|
+|  4     8     3  |
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+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|  1 5 3 4   9 6 7|
+|  8             5|
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++-----------------+
++-----------------+
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+|      1   9 3   6|
+|                 |
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+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
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+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
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+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
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+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
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+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
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+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
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+|          5 1 3  |
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+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|        2 7      |
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++-----------------+
++-----------------+
+|                 |
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+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|    3     8 7   1|
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+|    2   8 4     3|
+|              2  |
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++-----------------+
++-----------------+
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+|            5 2  |
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++-----------------+
++-----------------+
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+|  5 3       7 1  |
+|    1 5         2|
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+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
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+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
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++-----------------+
++-----------------+
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+|    1 2     7    |
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+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
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+|  9             2|
+|    4 8   5 9    |
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+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
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+|                 |
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+|5   6       7   2|
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+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|    4 2 5        |
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+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
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+|            4 2 6|
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+|    5   6   1    |
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++-----------------+
++-----------------+
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+|                 |
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+|  4   6         5|
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+|  2       4     8|
++-----------------+
++-----------------+
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+|        8   1    |
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+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
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+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
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+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
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+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|3 7           8 1|
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+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|        4        |
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++-----------------+
++-----------------+
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+|  1             8|
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+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
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+|6 5     7        |
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+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
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+|          3     2|
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
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+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
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++-----------------+
++-----------------+
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+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
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+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
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+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
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+|    8 3   5 6    |
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+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|  2 4 3   5 1 8  |
+|  7           2  |
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+|          7 4   2|
++-----------------+
++-----------------+
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
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+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
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++-----------------+
++-----------------+
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+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
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+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
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+|    9 6       3 1|
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+|  7     2        |
++-----------------+
++-----------------+
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+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
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+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
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+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
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+|  9             2|
+|    4 8   5 9    |
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+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
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+|                 |
+|    7   6 5 8    |
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+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
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+|            4 2 6|
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+|    5   6   1    |
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++-----------------+
++-----------------+
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+|                 |
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+|  4   6         5|
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+|  2       4     8|
++-----------------+
++-----------------+
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+|        8   1    |
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+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
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+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
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+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
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+|    5   9   1    |
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+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
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+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|                 |
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++-----------------+
++-----------------+
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+|    9 6       3 1|
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++-----------------+
++-----------------+
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+|      4 7     1  |
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+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  7   4         3|
++-----------------+
++-----------------+
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+|    3       2    |
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+|    9 1     8    |
++-----------------+
++-----------------+
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+|  2           9  |
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+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|  4           3  |
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+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|  1 7 6          |
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+|          5 1 3  |
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+|              7  |
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++-----------------+
++-----------------+
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+|        2 7      |
+|    3       7    |
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+|  9   3   6 1   2|
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++-----------------+
++-----------------+
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+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|    3     8 7   1|
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+|    2   8 4     3|
+|              2  |
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++-----------------+
++-----------------+
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+|            5 2  |
+|  5         3 9  |
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++-----------------+
++-----------------+
+|    2 4 7   6    |
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+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
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+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
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+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
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+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
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+|  9             2|
+|    4 8   5 9    |
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+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
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+|                 |
+|    7   6 5 8    |
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+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
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+|            4 2 6|
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+|    5   6   1    |
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++-----------------+
++-----------------+
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+|        1       6|
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+|                 |
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+|  4   6         5|
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+|  2       4     8|
++-----------------+
++-----------------+
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+|        9     7  |
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+|        8   1    |
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+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
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+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
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+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
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+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
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+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|    8         9  |
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+|      1     3   5|
++-----------------+
++-----------------+
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+|    8   1        |
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+|            6 2  |
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+|              8 2|
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++-----------------+
++-----------------+
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+|    3       4    |
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+|          8 7    |
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++-----------------+
++-----------------+
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+|  9     8     4  |
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+|  6     1     2  |
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+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
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++-----------------+
++-----------------+
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+|              2  |
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+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
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+|      2         3|
+|  7         2 8 9|
+|    3       6    |
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+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
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+|  7 6   4   8 1  |
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+|    5   8   9    |
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+|                 |
++-----------------+
++-----------------+
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+|  6     9   7 3  |
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+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
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+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
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+|    8           3|
+|  1             8|
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+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|      1     6   9|
+|3   5       1   4|
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+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
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+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
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+|          3     2|
+|1 5   9          |
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
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+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
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+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
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+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
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+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
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+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
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+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|  1 7 6          |
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+|          5 1 3  |
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+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|    3     8 7   1|
+|2 5           4 9|
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+|    2   8 4     3|
+|              2  |
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++-----------------+
++-----------------+
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+|  2 7         3  |
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+|            5 2  |
+|  5         3 9  |
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++-----------------+
++-----------------+
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+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
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+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
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+|    1 6       7  |
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+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
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++-----------------+
++-----------------+
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+|        6   3   5|
+|    1 2     7    |
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+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
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+|      9   1     8|
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+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
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+|                 |
+|    7   6 5 8    |
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+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|    4 2 5        |
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+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
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+|            4 2 6|
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+|    5   6   1    |
+|        4 9     5|
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++-----------------+
++-----------------+
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+|        1       6|
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+|9   3   8   1    |
+|                 |
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+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
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+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
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+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
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+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
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+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
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+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|    1 9          |
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+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
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+|  1 5 3 4   9 6 7|
+|  8             5|
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++-----------------+
++-----------------+
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+|      1   9 3   6|
+|                 |
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+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
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+|          7 4   2|
++-----------------+
++-----------------+
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+|  5 4 3         1|
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+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
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+|3     4   8     7|
+|  4   7         9|
+|              3 4|
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++-----------------+
++-----------------+
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+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
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+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
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+|    9 6       3 1|
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+|  7     2        |
++-----------------+
++-----------------+
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+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
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+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
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+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
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+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
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+|  1       4 3    |
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++-----------------+
++-----------------+
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+|    1 2     7    |
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+|  8   1     9    |
++-----------------+
++-----------------+
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+|  9             2|
+|    4 8   5 9    |
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+|      1       2  |
++-----------------+
++-----------------+
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+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|    4 2 5        |
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+|  1         8    |
++-----------------+
++-----------------+
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+|            4 2 6|
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++-----------------+
++-----------------+
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+|                 |
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+|  4   6         5|
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+|  2       4     8|
++-----------------+
++-----------------+
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+|        8   1    |
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+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  1         6    |
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+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
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+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
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++-----------------+
++-----------------+
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+|    3       4    |
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+|          8 7    |
+|  1 5            |
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++-----------------+
++-----------------+
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+|      2   6 9    |
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+|  9     8     4  |
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+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|3 7           8 1|
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+|                 |
+|        1 9   2 6|
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++-----------------+
++-----------------+
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+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
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+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
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+|  8 1   7   4 2  |
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+|                 |
++-----------------+
++-----------------+
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+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
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+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
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+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|          9   5 7|
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+|          3     2|
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
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++-----------------+
++-----------------+
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
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++-----------------+
++-----------------+
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+|        2 9     1|
+|  1   5 7        |
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++-----------------+
++-----------------+
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+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
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+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
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+|    6       3    |
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+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
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+|5   8         6  |
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+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
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+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
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+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
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+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
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+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
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+|                 |
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+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|  6           7  |
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+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|    1 8   4     6|
+|                 |
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++-----------------+
++-----------------+
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+|    9 6       3 1|
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++-----------------+
++-----------------+
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+|      4 7     1  |
+|    6       8    |
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+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  4   9   6   5  |
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+|  7   4         3|
++-----------------+
++-----------------+
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+|    3       2    |
+|      4   1     5|
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+|    9 1     8    |
++-----------------+
++-----------------+
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+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
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+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|      5     9   7|
+|  4           3  |
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+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  4 5 7   2 1 9  |
+|          6     5|
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+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
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+|  1 7 6          |
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+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
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+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
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+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
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+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
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+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
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+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
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+|                 |
+|    7   6 5 8    |
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+|5   6       7   2|
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+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|  5 2   3 1   7  |
+|    4 2 5        |
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+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|            4 2 6|
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+|    5   6   1    |
+|        4 9     5|
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++-----------------+
++-----------------+
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+|        1       6|
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+|9   3   8   1    |
+|                 |
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+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
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+|        9     7  |
+|      8     5   3|
+|        8   1    |
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+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
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+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
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+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
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+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
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+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
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+|        8   1    |
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+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
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+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
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+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
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+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
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+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
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+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
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+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
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++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
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+|  9     3     6  |
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+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
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+|                 |
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+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
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+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
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+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
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+|  2           9  |
+|      5   7 1 2  |
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+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|      5     9   7|
+|  4           3  |
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+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|          6     5|
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+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
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+|  1 7 6          |
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+|          5 1 3  |
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+|              7  |
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++-----------------+
++-----------------+
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+|        2 7      |
+|    3       7    |
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+|  9   3   6 1   2|
+|3     2       5  |
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++-----------------+
++-----------------+
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+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
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+|    2   8 4     3|
+|              2  |
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++-----------------+
++-----------------+
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+|  2 7         3  |
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+|            5 2  |
+|  5         3 9  |
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++-----------------+
++-----------------+
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+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
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+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
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+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
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+|  9             2|
+|    4 8   5 9    |
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+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
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+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
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+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
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+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
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+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
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+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
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+|      9         6|
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+|    8     6      |
++-----------------+
++-----------------+
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+|  7         2 8 9|
+|    3       6    |
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+|    2   4        |
++-----------------+
++-----------------+
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+|    5   8   9    |
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+|                 |
++-----------------+
++-----------------+
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+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
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++-----------------+
++-----------------+
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+|        4        |
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++-----------------+
++-----------------+
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+|  1             8|
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+|  2       6      |
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++-----------------+
++-----------------+
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+|      1     6   9|
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+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
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+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
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+|  7     3     4  |
+|  6         5    |
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+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
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+|          3     2|
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+|          2   1 4|
++-----------------+
++-----------------+
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+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
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++-----------------+
++-----------------+
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
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++-----------------+
++-----------------+
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+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
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+|  4 6         9  |
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+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
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+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
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+|    6       3    |
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+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
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+|5   8         6  |
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+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
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+|            2   6|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
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+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
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+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
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+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
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+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
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+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
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+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
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+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
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+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
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+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
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+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
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+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
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+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
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+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
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+|                 |
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+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
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++-----------------+
++-----------------+
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+|  8 7   9       6|
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++-----------------+
++-----------------+
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+|  1 5 3 4   9 6 7|
+|  8             5|
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++-----------------+
++-----------------+
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+|      1   9 3   6|
+|                 |
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+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|  2 4 3   5 1 8  |
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+|          7 4   2|
++-----------------+
++-----------------+
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+|  5 4 3         1|
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+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
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+|  4   7         9|
+|              3 4|
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++-----------------+
++-----------------+
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+|    5 3     9    |
+|  1     8       2|
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+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
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+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
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+|    9 6       3 1|
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+|  7     2        |
++-----------------+
++-----------------+
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+|      4 7     1  |
+|    6       8    |
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+|1   3   4     2  |
+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
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+|  7 1           4|
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+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
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+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|      5     9   7|
+|  4           3  |
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+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
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+|  1 7 6          |
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+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
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+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
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+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
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+|                 |
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+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|    1 2     7    |
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+|  8   1     9    |
++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|                 |
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++-----------------+
++-----------------+
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+|  1         8    |
++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|                 |
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++-----------------+
++-----------------+
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+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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+|  1 5         8  |
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+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|      1     3   5|
++-----------------+
++-----------------+
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+|            6 2  |
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+|              8 2|
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++-----------------+
++-----------------+
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+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
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++-----------------+
++-----------------+
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+|  9     8     4  |
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+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
+|        1 9   2 6|
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++-----------------+
++-----------------+
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+|              2  |
+|  3         5   7|
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+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
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+|      2         3|
+|  7         2 8 9|
+|    3       6    |
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+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
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+|    5   8   9    |
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+|                 |
++-----------------+
++-----------------+
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+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|  7     6     5 9|
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+|7   1     2     4|
+|        4        |
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+|          9     2|
++-----------------+
++-----------------+
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+|  1             8|
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+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|      1     6   9|
+|3   5       1   4|
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+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
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+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
+|    3   4        |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
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+|          3     2|
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
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+|3     7 6       8|
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+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
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+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
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+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
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+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
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+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
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+|  9     3     6  |
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+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
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+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
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+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
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+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
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+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
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+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
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+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
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+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
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+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
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+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
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+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
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+|          3     2|
+|1 5   9          |
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
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+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
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+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
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+|    9 6       3 1|
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+|  7     2        |
++-----------------+
++-----------------+
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+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
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+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
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+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
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+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  7         5    |
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+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
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+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
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+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
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++-----------------+
++-----------------+
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+|                 |
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++-----------------+
++-----------------+
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+|    1   3        |
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++-----------------+
++-----------------+
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+|  1 5         8  |
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++-----------------+
++-----------------+
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+|      1     3   5|
++-----------------+
++-----------------+
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+|            6 2  |
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++-----------------+
++-----------------+
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+|    3       4    |
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|                 |
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+|                 |
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++-----------------+
++-----------------+
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+|              2  |
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+|      9         6|
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+|    8     6      |
++-----------------+
++-----------------+
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+|  7         2 8 9|
+|    3       6    |
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+|    2   4        |
++-----------------+
++-----------------+
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+|    5   8   9    |
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+|                 |
++-----------------+
++-----------------+
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+|      1   8 4    |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|  7     6     5 9|
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+|        4        |
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+|          9     2|
++-----------------+
++-----------------+
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+|    8           3|
+|  1             8|
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+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|      1     6   9|
+|3   5       1   4|
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+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
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+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
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+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
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+|          3     2|
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+|          2   1 4|
++-----------------+
++-----------------+
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+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
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++-----------------+
++-----------------+
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+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
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+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
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+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
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+|    8 3   5 6    |
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+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
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+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
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+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
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+|  7       9   6  |
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+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
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+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
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+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
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+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
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+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
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+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
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+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
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+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
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+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
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+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
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+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
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+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|                1|
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+|    8     2      |
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++-----------------+
++-----------------+
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+|    6       3    |
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+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
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+|5   8         6  |
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+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
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+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
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++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
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+|  9     3     6  |
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+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
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+|                 |
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+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
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+|    5 3   6 9    |
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+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|      6     8   9|
+|    2     7 9 6  |
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+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
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+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
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+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
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+|    3       2    |
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+|    9 1     8    |
++-----------------+
++-----------------+
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+|  2           9  |
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+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|      5     9   7|
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+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|  1 7 6          |
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+|          5 1 3  |
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+|              7  |
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++-----------------+
++-----------------+
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+|        2 7      |
+|    3       7    |
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+|  9   3   6 1   2|
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++-----------------+
++-----------------+
+|                 |
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+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|    3     8 7   1|
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+|              2  |
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++-----------------+
++-----------------+
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+|            5 2  |
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++-----------------+
++-----------------+
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+|  5 3       7 1  |
+|    1 5         2|
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+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
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+|    1 6       7  |
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+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
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++-----------------+
++-----------------+
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+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
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+|  9             2|
+|    4 8   5 9    |
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+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
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+|                 |
+|    7   6 5 8    |
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+|5   6       7   2|
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+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
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+|  1         8    |
++-----------------+
++-----------------+
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+|            4 2 6|
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+|    5   6   1    |
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++-----------------+
++-----------------+
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+|                 |
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+|  4   6         5|
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+|  2       4     8|
++-----------------+
++-----------------+
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+|        9     7  |
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+|        8   1    |
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+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
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+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
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+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
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+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|3 7           8 1|
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+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
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+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
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+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
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++-----------------+
++-----------------+
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+|      9         6|
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+|    8     6      |
++-----------------+
++-----------------+
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+|  7         2 8 9|
+|    3       6    |
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+|    2   4        |
++-----------------+
++-----------------+
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+|    5   8   9    |
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+|                 |
++-----------------+
++-----------------+
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+|      1   8 4    |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|        4        |
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++-----------------+
++-----------------+
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+|  1             8|
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+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|      1     6   9|
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+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
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+|6 5     7        |
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+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
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+|          3     2|
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+|          2   1 4|
++-----------------+
++-----------------+
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+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
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++-----------------+
++-----------------+
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+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
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+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
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+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
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+|    8 3   5 6    |
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+|    6       3    |
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+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
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+|5   8         6  |
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+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
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+|  7       9   6  |
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+|            2   6|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
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+|  9     3     6  |
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+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
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+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
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+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|              2  |
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++-----------------+
++-----------------+
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+|            5 2  |
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++-----------------+
++-----------------+
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+|    1 5         2|
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+|  3           7  |
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++-----------------+
++-----------------+
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+|  1       4 3    |
+|    7     9 5 8  |
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++-----------------+
++-----------------+
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+|    1 2     7    |
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+|  8   1     9    |
++-----------------+
++-----------------+
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+|  9             2|
+|    4 8   5 9    |
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+|      1       2  |
++-----------------+
++-----------------+
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+|                 |
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+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|  1         8    |
++-----------------+
++-----------------+
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+|            4 2 6|
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++-----------------+
++-----------------+
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+|                 |
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+|  4   6         5|
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+|  2       4     8|
++-----------------+
++-----------------+
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+|        8   1    |
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+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  1         6    |
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+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
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+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
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+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
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+|      1     6   9|
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+|6   8     3      |
+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
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+|          3     2|
+|1 5   9          |
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
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+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
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+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
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+|              3 4|
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++-----------------+
++-----------------+
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+|  1     8       2|
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+|  4             7|
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++-----------------+
++-----------------+
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+|      1       3  |
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+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
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+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|  6           7  |
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+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|    1 8   4     6|
+|                 |
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++-----------------+
++-----------------+
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+|    9 6       3 1|
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++-----------------+
++-----------------+
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+|      4 7     1  |
+|    6       8    |
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+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  6     4 5      |
+|  4   9   6   5  |
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+|  7   4         3|
++-----------------+
++-----------------+
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+|  7 1           4|
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+|    3       2    |
+|      4   1     5|
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+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
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+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|      5     9   7|
+|  4           3  |
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+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  9 1   6   4    |
++-----------------+
++-----------------+
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+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
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+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
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+|    2   8 4     3|
+|              2  |
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++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
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+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
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++-----------------+
++-----------------+
+|    2 4 7   6    |
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+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
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+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
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+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
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+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
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+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
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+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
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+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
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+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
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+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|                 |
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|            6 2  |
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++-----------------+
++-----------------+
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+|    3       4    |
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++-----------------+
++-----------------+
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+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
+|        1 9   2 6|
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++-----------------+
++-----------------+
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+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
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+|  7         2 8 9|
+|    3       6    |
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+|    2   4        |
++-----------------+
++-----------------+
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+|    5   8   9    |
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+|                 |
++-----------------+
++-----------------+
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+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|  7     6     5 9|
+|      4       6 1|
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+|        4        |
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+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
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+|    8           3|
+|  1             8|
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+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|    1 9          |
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+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
+|    3   4        |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
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+|          3     2|
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
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+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
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+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
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+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
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+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
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+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
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+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
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+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
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+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
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+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
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+|5   8         6  |
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+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
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+|  7       9   6  |
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+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
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+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
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+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
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+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
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+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
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++-----------------+
++-----------------+
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+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
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++-----------------+
++-----------------+
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+|    8     6      |
++-----------------+
++-----------------+
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+|  7         2 8 9|
+|    3       6    |
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+|    2   4        |
++-----------------+
++-----------------+
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+|    5   8   9    |
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+|                 |
++-----------------+
++-----------------+
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+|      1   8 4    |
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++-----------------+
++-----------------+
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++-----------------+
++-----------------+
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+|  1             8|
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+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|      1     6   9|
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+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
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+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
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+|          3     2|
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
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++-----------------+
++-----------------+
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+|6         4     2|
+|1     8   7     4|
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+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
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+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
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+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
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+|    8 3   5 6    |
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+|    6       3    |
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+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
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+|5   8         6  |
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+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
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+|  7       9   6  |
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+|            2   6|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
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+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
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+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
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+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
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+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
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+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
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+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
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+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
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+|    5 3   6 9    |
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+|    1 9   7 5    |
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+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    2     7 9 6  |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|    6           1|
+|  4     8     3  |
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+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|  1 5 3 4   9 6 7|
+|  8             5|
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++-----------------+
++-----------------+
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+|      1   9 3   6|
+|                 |
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+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
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+|          7 4   2|
++-----------------+
++-----------------+
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
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+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
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+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
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+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
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+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
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+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
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+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
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+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
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+|  9   3   6 1   2|
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++-----------------+
++-----------------+
+|                 |
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+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|    3     8 7   1|
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+|    2   8 4     3|
+|              2  |
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++-----------------+
++-----------------+
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+|            5 2  |
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++-----------------+
++-----------------+
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+|  5 3       7 1  |
+|    1 5         2|
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+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
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+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
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++-----------------+
++-----------------+
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+|    1 2     7    |
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+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
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+|  9             2|
+|    4 8   5 9    |
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+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
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+|                 |
+|    7   6 5 8    |
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+|5   6       7   2|
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+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|    4 2 5        |
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+|  8   3 4   5 1  |
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+|  1         8    |
++-----------------+
++-----------------+
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+|            4 2 6|
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+|    5   6   1    |
+|        4 9     5|
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++-----------------+
++-----------------+
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+|                 |
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+|  4   6         5|
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+|  2       4     8|
++-----------------+
++-----------------+
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+|      8     5   3|
+|        8   1    |
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+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
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+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|3 7           8 1|
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+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
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++-----------------+
++-----------------+
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+|  1             8|
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+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
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+|6 5     7        |
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+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
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+|          3     2|
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+|          2   1 4|
++-----------------+
++-----------------+
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+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
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+|6         4     2|
+|1     8   7     4|
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+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
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+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
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+|    8 3   5 6    |
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+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
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+|5   8         6  |
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+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
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+|          7 4   2|
++-----------------+
++-----------------+
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+|  5 4 3         1|
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+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
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+|5         3   6  |
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+|  4   7         9|
+|              3 4|
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++-----------------+
++-----------------+
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+|    5 3     9    |
+|  1     8       2|
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+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
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+|          1   9  |
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+|  1 2 7          |
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+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
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+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
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+|    9 6       3 1|
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++-----------------+
++-----------------+
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+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
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+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
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+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
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+|  7 1           4|
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+|    3       2    |
+|      4   1     5|
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+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  7         5    |
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+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
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+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
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+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
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+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
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+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
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+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
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+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
+|    9         3  |
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
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+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
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+|                 |
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+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|    4 2 5        |
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+|  1         8    |
++-----------------+
++-----------------+
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+|            4 2 6|
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++-----------------+
++-----------------+
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+|                 |
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+|  4   6         5|
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+|  2       4     8|
++-----------------+
++-----------------+
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+|        8   1    |
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+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  1         6    |
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+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
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+|            2 9  |
+|    1 9          |
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+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
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++-----------------+
++-----------------+
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+|      2   6 9    |
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+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
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+|                 |
+|5 9             4|
+|3 7           8 1|
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+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
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+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|      4 8 2      |
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++-----------------+
++-----------------+
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+|        2 9     1|
+|  1   5 7        |
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++-----------------+
++-----------------+
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+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|                1|
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+|      9     1 4  |
+|    8     2      |
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++-----------------+
++-----------------+
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+|    6       3    |
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+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
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+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
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+|            2   6|
+|1     8   2     3|
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+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
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+|  9     3     6  |
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+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
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+|                 |
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+|          2      |
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+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
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+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
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+|  5           6  |
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+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
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+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
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+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
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+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
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+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
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++-----------------+
++-----------------+
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+|    9 6       3 1|
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++-----------------+
++-----------------+
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+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
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+|  8       2 9    |
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++-----------------+
++-----------------+
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+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
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+|  7   4         3|
++-----------------+
++-----------------+
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+|    3       2    |
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+|    9 1     8    |
++-----------------+
++-----------------+
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+|  5 8 9   2      |
+|  2           9  |
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+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
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+|      5     9   7|
+|  4           3  |
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+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|          6     5|
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+|4             2  |
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++-----------------+
++-----------------+
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+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
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++-----------------+
++-----------------+
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+|        2 7      |
+|    3       7    |
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+|  9   3   6 1   2|
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+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
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+|    2   8 4     3|
+|              2  |
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++-----------------+
++-----------------+
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+|  2 7         3  |
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+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
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++-----------------+
++-----------------+
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+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
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+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
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+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
+|    9         3  |
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+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
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+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
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+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
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+|  2       4     8|
++-----------------+
++-----------------+
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+|        9     7  |
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+|        8   1    |
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+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
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+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
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+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
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+|    8         9  |
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+|      1     3   5|
++-----------------+
++-----------------+
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+|            6 2  |
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++-----------------+
++-----------------+
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+|    3       4    |
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+|          8 7    |
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++-----------------+
++-----------------+
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+|  9     8     4  |
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+|  6     1     2  |
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+|    3         5  |
++-----------------+
++-----------------+
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+|                 |
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+|                 |
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++-----------------+
++-----------------+
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+|  3         5   7|
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+|      9         6|
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+|    8     6      |
++-----------------+
++-----------------+
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+|      2         3|
+|  7         2 8 9|
+|    3       6    |
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+|    2   4        |
++-----------------+
++-----------------+
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+|    5   8   9    |
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+|  8 1   7   4 2  |
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+|                 |
++-----------------+
++-----------------+
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+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
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+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
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+|  7     6     5 9|
+|      4       6 1|
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+|        4        |
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+|          9     2|
++-----------------+
++-----------------+
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+|    8           3|
+|  1             8|
+|5       4       9|
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+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
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+|    1 9          |
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+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
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++-----------------+
++-----------------+
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+|  2         9   3|
+|        9     6 2|
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+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
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+|  5     1 7      |
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+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
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++-----------------+
++-----------------+
+|    3   4        |
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+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
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+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
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+|          3     2|
+|1 5   9          |
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+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
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+|  5     6        |
+|6     3 8 2 4    |
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++-----------------+
++-----------------+
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+|    5   9   1    |
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+|      4 8 2      |
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+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
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+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
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+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
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+|  5     9 3     4|
+|  3   7          |
+|                1|
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+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
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+|    8 3   5 6    |
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+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
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+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
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+|5   8         6  |
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+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
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+|  7       9   6  |
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+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
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+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
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+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
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+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
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+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
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++-----------------+
++-----------------+
+|1         2   3  |
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
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+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
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+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
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+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
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+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
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+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
+|7   2     3 9    |
+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
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+|  7     6     8  |
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+|                 |
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+|  9     3     6  |
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+|    2 4   6 1    |
++-----------------+
++-----------------+
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+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
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+|          2      |
+|4   1   7   3    |
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++-----------------+
++-----------------+
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+|    1   4     6  |
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+|      7       2 1|
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+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
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+|    5 3   6 9    |
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+|    1 9   7 5    |
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+|  9           2  |
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++-----------------+
++-----------------+
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+|    2     7 9 6  |
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+|  6 3 5     1    |
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+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
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+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
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+|  1 5 3 4   9 6 7|
+|  8             5|
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++-----------------+
++-----------------+
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+|      1   9 3   6|
+|                 |
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+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
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+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
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+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
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+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
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+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
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+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
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+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
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+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
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+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
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+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
+|8     9     6    |
+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
+|9         7 4 8  |
+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
+|7       8        |
+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
+|7   4       5   9|
+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
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++-----------------+
++-----------------+
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+|  1 7 6          |
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+|          5 1 3  |
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+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
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+|        2 7      |
+|    3       7    |
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++-----------------+
++-----------------+
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+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
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+|    3     8 7   1|
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+|    2   8 4     3|
+|              2  |
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++-----------------+
++-----------------+
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+|            5 2  |
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++-----------------+
++-----------------+
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+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
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+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
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+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
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++-----------------+
++-----------------+
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+|        6   3   5|
+|    1 2     7    |
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+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
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+|  9             2|
+|    4 8   5 9    |
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+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
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+|                 |
+|    7   6 5 8    |
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+|    5 8 2   4    |
+|                 |
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++-----------------+
++-----------------+
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+|    4 2 5        |
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+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
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+|            4 2 6|
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+|    5   6   1    |
+|        4 9     5|
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++-----------------+
++-----------------+
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+|        1       6|
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+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
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+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
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+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
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+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
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+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
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+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
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+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
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+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
++-----------------+
+|7 4   5          |
+|  2   3 7 8     6|
+|          9   5 7|
+|4     7          |
+|9               3|
+|          3     2|
+|1 5   9          |
+|2     1 4 7   9  |
+|          2   1 4|
++-----------------+
++-----------------+
+|      6     9    |
+|            2   3|
+|    6 2 9 3 5 1  |
+|          1      |
+|    1 5 3 8 7   4|
+|5 2 3 4   6 8 9  |
+|  5     6        |
+|6     3 8 2 4    |
+|8 4 7            |
++-----------------+
++-----------------+
+|1               5|
+|    5   9   1    |
+|6   3 2   5 7   4|
+|      4 8 2      |
+|7               8|
+|      1 7 3      |
+|3   1 8   6 2   7|
+|    7   3   5    |
+|8               3|
++-----------------+
++-----------------+
+|      4   2   5 7|
+|        9 5   1  |
+|3     7 6       8|
+|6         4     2|
+|1     8   7     4|
+|5     2         3|
+|        2 9     1|
+|  1   5 7        |
+|2 8   1   3      |
++-----------------+
++-----------------+
+|    7 6     2 4  |
+|  4 6         9  |
+|9 2     8 5      |
+|8         2 9    |
+|    3       4    |
+|    4 9         6|
+|      7 3     2 4|
+|  5         8 6  |
+|  3 2     6 7    |
++-----------------+
++-----------------+
+|6           7 3 9|
+|  5     9 3     4|
+|  3   7          |
+|                1|
+|9 7 5   4   2    |
+|        7       6|
+|      9     1 4  |
+|    8     2      |
+|2       1 5   9 8|
++-----------------+
++-----------------+
+|  6   1   4   5  |
+|    8 3   5 6    |
+|2               1|
+|8     4   7     6|
+|    6       3    |
+|7     9   1     4|
+|5               2|
+|    7 2   6 9    |
+|  4   5   8   7  |
++-----------------+
++-----------------+
+|        6 4 5    |
+|      8          |
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+|5   8         6  |
+|3               7|
+|  9         2   1|
+|    1 6     3   8|
+|          5      |
+|    4 2 9        |
++-----------------+
++-----------------+
+|          4     5|
+|  7       9   6  |
+|4   2     1      |
+|            2   6|
+|1     8   2     3|
+|9   5            |
+|      2     7   1|
+|  6   5       8  |
+|3     1          |
++-----------------+
++-----------------+
+|    5 7   8 2    |
+|4               6|
+|  7     6     8  |
+|5 2   9   4   3 1|
+|                 |
+|8 6   1   7   5 4|
+|  9     3     6  |
+|7               5|
+|    2 4   6 1    |
++-----------------+
++-----------------+
+|5             2 8|
+|    4   1   5   6|
+|      9          |
+|2 8 3           9|
+|                 |
+|6           7 4 3|
+|          2      |
+|4   1   7   3    |
+|9 6             5|
++-----------------+
++-----------------+
+|9         6 7    |
+|    1   4     6  |
+|4 8       5      |
+|      7       2 1|
+|6   5 1   8 9   3|
+|3 1       4      |
+|      9       5 2|
+|  6     3   1    |
+|    8 6         7|
++-----------------+
++-----------------+
+|      2   5      |
+|  5           6  |
+|6 8 2       7 5 3|
+|    5 3   6 9    |
+|9               6|
+|    1 9   7 5    |
+|1 2 8       6 7 4|
+|  9           2  |
+|      4   1      |
++-----------------+
++-----------------+
+|5     4   2      |
+|    7       2    |
+|      6     8   9|
+|    2     7 9 6  |
+|8       2       5|
+|  6 3 5     1    |
+|7   1     5      |
+|    6       5    |
+|      8   1     3|
++-----------------+
++-----------------+
+|8 5       4     2|
+|4       2   9    |
+|      8       7  |
+|    6           1|
+|  4     8     3  |
+|2           5    |
+|  3 4     7      |
+|  8 7   9       6|
+|6     1       4 7|
++-----------------+
++-----------------+
+|        1 2   3  |
+|6 5 8 9 3        |
+|      7 8     9  |
+|7     2 5   4    |
+|  1 5 3 4   9 6 7|
+|  8             5|
+|5 4       1   7  |
+|1 3 9   2     5  |
+|8                |
++-----------------+
++-----------------+
+|1     4 3     9  |
+|  2   9       1  |
+|9       2   8   7|
+|      1   9 3   6|
+|                 |
+|5   6 2   7      |
+|7   8   9       5|
+|  9       5   4  |
+|  5     6 2     9|
++-----------------+
++-----------------+
+|2   1 9          |
+|6       5 8   4 1|
+|          3   5  |
+|  1           7  |
+|  2 4 3   5 1 8  |
+|  7           2  |
+|  6   5          |
+|7 9   2 4       5|
+|          7 4   2|
++-----------------+
++-----------------+
+|  3 5 6       7 8|
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+|      4 7 8      |
+|  5 4 3         1|
+|1 6           5 7|
+|3         1 2 9  |
+|      8 4 5      |
+|    3     6     9|
+|  4       9 5 8  |
++-----------------+
++-----------------+
+|    1 6          |
+|  9   2         8|
+|7 5              |
+|5         3   6  |
+|3     4   8     7|
+|  4   7         9|
+|              3 4|
+|4         1   2  |
+|          9 5    |
++-----------------+
++-----------------+
+|1         7   9  |
+|  3     2       8|
+|    9 6     5    |
+|    5 3     9    |
+|  1     8       2|
+|6         4      |
+|3             1  |
+|  4             7|
+|    7       3    |
++-----------------+
++-----------------+
+|8                |
+|    3 6          |
+|  7     9   2    |
+|  5       7      |
+|        4 5 7    |
+|      1       3  |
+|    1         6 8|
+|    8 5       1  |
+|  9         4    |
++-----------------+
++-----------------+
+|1       4   2    |
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+|      8   9   7 3|
+|          1   9  |
+|6               7|
+|  1 2 7          |
+|8 3   5   4      |
+|  6 1 9         8|
+|  2     7       4|
++-----------------+
++-----------------+
+|1 4 9            |
+|    3     7 1    |
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+|  1   4 6   2 9  |
+|  6           7  |
+|  3 5   7 1   8  |
+|        5       4|
+|    8 3     7    |
+|            5 1 8|
++-----------------+
++-----------------+
+|      4 3     9  |
+|  2   5   8     4|
+|  1 5       8    |
+|    1 8   4     6|
+|                 |
+|8     9   7 5    |
+|    8       7 5  |
+|2     6   3   4  |
+|  4     8 5      |
++-----------------+
++-----------------+
+|        7     6  |
+|          5 1   2|
+|      1 6       3|
+|2 3       9 5    |
+|7     2   1     9|
+|    9 6       3 1|
+|1       8 3      |
+|4   3 5          |
+|  7     2        |
++-----------------+
++-----------------+
+|    5     7     9|
+|    9 3       6  |
+|  6     9   4   5|
+|      4 7     1  |
+|    6       8    |
+|  3     2 5      |
+|1   3   4     2  |
+|  8       2 9    |
+|9     7     1    |
++-----------------+
++-----------------+
+|1         2   3  |
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+|  8              |
+|  6     4 5      |
+|  4   9   6   5  |
+|      7 8     2  |
+|              8  |
+|8   2       1   7|
+|  7   4         3|
++-----------------+
++-----------------+
+|    6     4 9    |
+|2     8   9   6 3|
+|  7 1           4|
+|4     3   8      |
+|    3       2    |
+|      4   1     5|
+|1           4 5  |
+|8 3   9   2     7|
+|    9 1     8    |
++-----------------+
++-----------------+
+|5     4     3   7|
+|  7         5    |
+|    3     1      |
+|  5 8 9   2      |
+|  2           9  |
+|      5   7 1 2  |
+|      8     9    |
+|    9         7  |
+|6   2     9     4|
++-----------------+
++-----------------+
+|      9   2 7    |
+|7         8   2  |
+|    1 7         6|
+|      5     9   7|
+|  4           3  |
+|6   8     1      |
+|1         7 6    |
+|  5   1         4|
+|    9 4   3      |
++-----------------+
++-----------------+
+|    8   1   7 6  |
+|  3             1|
+|      6   4     2|
+|3     1          |
+|  4 5 7   2 1 9  |
+|          6     5|
+|2     9   5      |
+|4             2  |
+|  9 1   6   4    |
++-----------------+
++-----------------+
+|    6     2      |
+|  7              |
+|4       3 1   6 8|
+|  1 7 6          |
+|6               4|
+|          5 1 3  |
+|2 8   5 4       1|
+|              7  |
+|      9     2    |
++-----------------+
++-----------------+
+|9       4       3|
+|  3       2     1|
+|4   2 1   8   7  |
+|        2 7      |
+|    3       7    |
+|      6 9        |
+|  9   3   6 1   2|
+|3     2       5  |
+|1       5       6|
++-----------------+
++-----------------+
+|                 |
+|8 5   9 2 4      |
+|  2 9 8          |
+|3   5   6     7  |
+|6     4   2     1|
+|  7     5   9   6|
+|          7 3 2  |
+|      2 8 1   5 4|
+|                 |
++-----------------+
++-----------------+
+|9   7     6      |
+|  3              |
+|6     8 7   4    |
+|    3     8 7   1|
+|2 5           4 9|
+|1   8 9     2    |
+|    2   8 4     3|
+|              2  |
+|      7     6   4|
++-----------------+
++-----------------+
+|      9   7     6|
+|    1 3         8|
+|  2 7         3  |
+|  9 8            |
+|7 4           6 3|
+|            5 2  |
+|  5         3 9  |
+|2         5 4    |
+|1     2   4      |
++-----------------+
++-----------------+
+|    2 4 7   6    |
+|  4           9  |
+|  9   6         7|
+|8         1 5    |
+|  5 3       7 1  |
+|    1 5         2|
+|7         8   4  |
+|  3           7  |
+|    6   9 5 3    |
++-----------------+
++-----------------+
+|      5       3 1|
+|  2 8 9     4    |
+|    1 6       7  |
+|1       9   7    |
+|  4           5  |
+|    9   2       8|
+|  1       4 3    |
+|    7     9 5 8  |
+|9 8       3      |
++-----------------+
++-----------------+
+|    8     1   6  |
+|      4   2 8    |
+|        6   3   5|
+|    1 2     7    |
+|3 2           9 1|
+|    7     9 5    |
+|1   3   5        |
+|    9 3   6      |
+|  8   1     9    |
++-----------------+
++-----------------+
+|  1       4      |
+|      9   1     8|
+|6 5     3   1    |
+|  9             2|
+|    4 8   5 9    |
+|5             3  |
+|    2   8     1 3|
+|1     5   3      |
+|      1       2  |
++-----------------+
++-----------------+
+|  8 9 3 1       5|
+|                 |
+|    7   6 5 8    |
+|9               6|
+|5   6       7   2|
+|2     7         8|
+|    5 8 2   4    |
+|                 |
+|7       5 4 3 8  |
++-----------------+
++-----------------+
+|    9         3  |
+|3         9     2|
+|  5 2   3 1   7  |
+|    4 2 5        |
+|2 9           5 1|
+|        1 3 2    |
+|  8   3 4   5 1  |
+|5     1         6|
+|  1         8    |
++-----------------+
++-----------------+
+|          4   7 1|
+|8     2 1        |
+|    7   9   3    |
+|            4 2 6|
+|2               7|
+|6 5 9            |
+|    5   6   1    |
+|        4 9     5|
+|4 1   3          |
++-----------------+
++-----------------+
+|1     7       9  |
+|        1       6|
+|8         6   7  |
+|9   3   8   1    |
+|                 |
+|    8   2   5   7|
+|  4   6         5|
+|3       5        |
+|  2       4     8|
++-----------------+
++-----------------+
+|3 9         4    |
+|        9     7  |
+|      8     5   3|
+|        8   1    |
+|5   4       7   9|
+|    1   3        |
+|2   7     5      |
+|  8     6        |
+|    3         2 4|
++-----------------+
++-----------------+
+|    9     5      |
+|4 7       2      |
+|  8 3 6   4   1  |
+|  1 5         8  |
+|      3   7      |
+|  2         7 4  |
+|  4   5   1 8 7  |
+|      7       5 2|
+|      2     1    |
++-----------------+
++-----------------+
+|9   4     2      |
+|  5     7   4    |
+|  1         6    |
+|2     8   9      |
+|7               8|
+|      5   7     3|
+|    8         9  |
+|    6   3     4  |
+|      1     3   5|
++-----------------+
++-----------------+
+|  1       8 4   7|
+|9 5              |
+|    8   1        |
+|  8 2            |
+|7     4   6     8|
+|            6 2  |
+|        5   7    |
+|              8 2|
+|5   3 2       1  |
++-----------------+
++-----------------+
+|          2   4 8|
+|            2 9  |
+|    1 9          |
+|1       9 5 3    |
+|    3       4    |
+|    8 3 1       6|
+|          8 7    |
+|  1 5            |
+|2 3   5          |
++-----------------+
++-----------------+
+|  8         7    |
+|      2   6 9    |
+|    6   3 8      |
+|  9     8     4  |
+|4               5|
+|  6     1     2  |
+|      7 2   1    |
+|    7 6   1      |
+|    3         5  |
++-----------------+
++-----------------+
+|  3   9 2 1     5|
+|1 5   8 3        |
+|                 |
+|5 9             4|
+|3 7           8 1|
+|6             5 3|
+|                 |
+|        1 9   2 6|
+|9     5 7 4   1  |
++-----------------+
++-----------------+
+|        5        |
+|1   2 4 9   3    |
+|        2 1 6    |
+|              2  |
+|  3         5   7|
+|5 9       4      |
+|      9         6|
+|9     5   3 8   4|
+|    8     6      |
++-----------------+
++-----------------+
+|        3   1    |
+|  2     6 4     7|
+|      2         3|
+|  7         2 8 9|
+|    3       6    |
+|2 9 1         3  |
+|8         3      |
+|4     9 5     6  |
+|    2   4        |
++-----------------+
++-----------------+
+|                 |
+|5     6   7     3|
+|  7 6   4   8 1  |
+|8         3     2|
+|    5   8   9    |
+|6     9         1|
+|  8 1   7   4 2  |
+|2     8   6     7|
+|                 |
++-----------------+
++-----------------+
+|      3     1    |
+|  6     9   7 3  |
+|            8   6|
+|      1   8 4    |
+|  7           8  |
+|    2 9   6      |
+|4   5            |
+|  3 7   8     2  |
+|    9     3      |
++-----------------+
++-----------------+
+|2     9          |
+|  7     6     5 9|
+|      4       6 1|
+|7   1     2     4|
+|        4        |
+|8     1     9   6|
+|1 2       3      |
+|5 3     2     7  |
+|          9     2|
++-----------------+
++-----------------+
+|        5 1 4    |
+|      7       2  |
+|    8           3|
+|  1             8|
+|5       4       9|
+|7             6  |
+|4           7    |
+|  2       6      |
+|    3 9 8        |
++-----------------+
++-----------------+
+|        8       5|
+|    1 9          |
+|7             1 6|
+|      1     6   9|
+|3   5       1   4|
+|6   8     3      |
+|5 6             2|
+|          5 4    |
+|9       2        |
++-----------------+
++-----------------+
+|    8            |
+|      3   7   5  |
+|  2         9   3|
+|        9     6 2|
+|2   4       8   1|
+|6 5     7        |
+|4   9         1  |
+|  1   5   8      |
+|            2    |
++-----------------+
++-----------------+
+|      1     2   5|
+|        7 5      |
+|5   4         8  |
+|  5     1 7      |
+|9 7           3 8|
+|      9 8     1  |
+|  6 5       8   1|
+|      4 9        |
+|2   3     1      |
++-----------------+
++-----------------+
+|    3   4        |
+|8     5       6  |
+|2           1    |
+|    9         7  |
+|  7     3     4  |
+|  6         5    |
+|    7           9|
+|  1       6     8|
+|        2   3    |
++-----------------+
\ No newline at end of file