Works

README.md

@@ -1,3 +1,5 @@
 # Hanoi Tower recursive resolution
 
-Work in progress
+Resolve this problem by
+   php resolver.php > result.php
+

class.towers.php

@@ -44,7 +44,7 @@ class Tower{
     return $movesAvailables;
   }
   
-  private function get_tower_array(){
+  public function get_tower_array(){
     return array(
       $this->tower0,
       $this->tower1,
@@ -76,6 +76,14 @@ class Tower{
     }
     return false;
   }
+  public function is_won(){
+    $arr = $this->get_tower_array();
+    if ((empty($arr[0]) && empty($arr[1]))
+        ||(empty($arr[0]) && empty($arr[2]))){
+          return true;
+    }
+    return false;
+  }
   
 }
 class Move{
@@ -178,7 +186,7 @@ class Steps{
   *Memorise the differents towers configurations
   */
   private $steps;
-  public function __construct($steps){
+  public function __construct(){
     $this->steps = array();
   }
   
@@ -186,7 +194,7 @@ class Steps{
     $exp = 0;
     $total = 0;
     foreach($column as $elem){
-      $total += $elem * pow( $base , $exp );
+      $total =$total + ($elem + 1) * pow( $base + 1 , $exp );
       $exp++;
     }
     return $total;
@@ -194,21 +202,19 @@ class Steps{
   
   private function convert_tower_to_int(Tower $tower){
     $arrTower = $tower->get_tower_array();
-    
     return
-      $this::convert_column_to_int($arrTower[0]) +
-      $this::convert_column_to_int($arrTower[1]) * pow(10,$tower->discsCount) +
-      $this::convert_column_to_int($arrTower[2]) * pow(10,2 * $tower->discsCount);
+      $this::convert_column_to_int($arrTower[0],$tower->discsCount) +
+      $this::convert_column_to_int($arrTower[1],$tower->discsCount) * pow(10,$tower->discsCount) +
+      $this::convert_column_to_int($arrTower[2],$tower->discsCount) * pow(10,2 * $tower->discsCount);
   }
-  
+
   public function add_step(Tower $tower){
- 
     $towerValue = $this::convert_tower_to_int($tower);
-    
     if(in_array($towerValue,$this->steps)){
-      return false;
+      return false;      
     }else{
       $this->steps[] = $towerValue; 
+      return true;
     }
   }
 }

resolver.php

@@ -6,36 +6,33 @@ include("class.towers.php");
 
 
 $tower = new Tower($discCount);
-$steps = new Steps();
-/*
-echo "1".$tower."\n";
-$move = Move::make(0,2);
-$tower = $tower->add_move($move);
-echo "2".$tower."\n";
-print_r($tower->list_moves_availables());
-*/
+$steps = new Steps(array());
+$steps->add_step($tower);
 
-resolveHanoi($tower);
 
-function resolveHanoi(Tower $tower, Steps $steps){
+resolveHanoi($tower,$steps);
 
-    $steps->add_step($tower);
-    $availablesMoves = $tower->list_moves_availables();
+function resolveHanoi(Tower $tower, Steps $steps){
+    $result = false;
     
-    //take only the moves who will generate a new unknowed Tower
-    $uniquesAvailableMoves = array(); 
-    foreach($availablesMoves as $move){
-      $newTower = $tower-> add_move($move);
-      //to do check if unique ************************************************
+    if($tower->is_won()){
+      echo "\nSolution founded. Reverse this steps:\n".$tower;
+      return true;
     }
+    $availablesMoves = $tower->list_moves_availables();
+    //take only the moves who will generate a new unknowed Tower
     
-    
-    
-    //don't take moves that will generate an ever used tower configuration
-    $useful_moves = array();
     foreach($availablesMoves as $move){
-        
+      $newTower = $tower->add_move($move);
+      $newSteps = $steps;
+ 
+      if($newSteps->add_step($newTower)){
+        $r = resolveHanoi($newTower,$newSteps);
+        if($r){
+          $result = true;
+          echo "\n".$tower;
+        }
+      }
     }
-
-
+    return $result;
 }

result.php

@@ -0,0 +1,295 @@
+
+Solution founded. Reverse this steps:
+[[],[],[5,4,3,2,1,0]]
+[[0],[],[5,4,3,2,1]]
+[[],[0],[5,4,3,2,1]]
+[[1],[0],[5,4,3,2]]
+[[1],[],[5,4,3,2,0]]
+[[],[1],[5,4,3,2,0]]
+[[0],[1],[5,4,3,2]]
+[[],[1,0],[5,4,3,2]]
+[[2],[1,0],[5,4,3]]
+[[2,0],[1],[5,4,3]]
+[[2,0],[],[5,4,3,1]]
+[[2],[0],[5,4,3,1]]
+[[2],[],[5,4,3,1,0]]
+[[],[2],[5,4,3,1,0]]
+[[0],[2],[5,4,3,1]]
+[[],[2,0],[5,4,3,1]]
+[[1],[2,0],[5,4,3]]
+[[1],[2],[5,4,3,0]]
+[[],[2,1],[5,4,3,0]]
+[[0],[2,1],[5,4,3]]
+[[],[2,1,0],[5,4,3]]
+[[3],[2,1,0],[5,4]]
+[[3,0],[2,1],[5,4]]
+[[3,0],[2],[5,4,1]]
+[[3],[2,0],[5,4,1]]
+[[3],[2],[5,4,1,0]]
+[[3,2],[],[5,4,1,0]]
+[[3,2,0],[],[5,4,1]]
+[[3,2],[0],[5,4,1]]
+[[3,2,1],[0],[5,4]]
+[[3,2,1,0],[],[5,4]]
+[[3,2,1,0],[4],[5]]
+[[3,2,1],[4,0],[5]]
+[[3,2,1],[4],[5,0]]
+[[3,2],[4,1],[5,0]]
+[[3,2],[4,1,0],[5]]
+[[3,2,0],[4,1],[5]]
+[[3,2,0],[4],[5,1]]
+[[3,2],[4,0],[5,1]]
+[[3,2],[4],[5,1,0]]
+[[3],[4,2],[5,1,0]]
+[[3,0],[4,2],[5,1]]
+Solution founded. Reverse this steps:
+[[],[5,4,3,2,1,0],[]]
+[[0],[5,4,3,2,1],[]]
+[[0],[5,4,3,2],[1]]
+[[],[5,4,3,2,0],[1]]
+[[],[5,4,3,2],[1,0]]
+[[2],[5,4,3],[1,0]]
+[[2,0],[5,4,3],[1]]
+[[2],[5,4,3,0],[1]]
+[[2,1],[5,4,3,0],[]]
+[[2,1,0],[5,4,3],[]]
+[[2,1,0],[5,4],[3]]
+[[2,1],[5,4,0],[3]]
+[[2,1],[5,4],[3,0]]
+[[2],[5,4,1],[3,0]]
+[[2],[5,4,1,0],[3]]
+[[2,0],[5,4,1],[3]]
+[[2,0],[5,4],[3,1]]
+[[2],[5,4,0],[3,1]]
+[[2],[5,4],[3,1,0]]
+[[],[5,4,2],[3,1,0]]
+[[0],[5,4,2],[3,1]]
+[[],[5,4,2,0],[3,1]]
+[[1],[5,4,2,0],[3]]
+[[1,0],[5,4,2],[3]]
+[[1,0],[5,4],[3,2]]
+[[1],[5,4,0],[3,2]]
+[[1],[5,4],[3,2,0]]
+[[],[5,4,1],[3,2,0]]
+[[],[5,4,1,0],[3,2]]
+[[0],[5,4,1],[3,2]]
+[[0],[5,4],[3,2,1]]
+[[],[5,4,0],[3,2,1]]
+[[],[5,4],[3,2,1,0]]
+[[4],[5],[3,2,1,0]]
+[[4,0],[5],[3,2,1]]
+[[4],[5,0],[3,2,1]]
+[[4,1],[5,0],[3,2]]
+[[4,1],[5],[3,2,0]]
+[[4],[5,1],[3,2,0]]
+[[4,0],[5,1],[3,2]]
+[[4],[5,1,0],[3,2]]
+[[4,2],[5,1,0],[3]]
+[[4,2,0],[5,1],[3]]
+[[4,2,0],[5],[3,1]]
+[[4,2],[5,0],[3,1]]
+[[4,2],[5],[3,1,0]]
+[[4],[5,2],[3,1,0]]
+[[4,0],[5,2],[3,1]]
+[[4],[5,2,0],[3,1]]
+[[4,1],[5,2,0],[3]]
+[[4,1],[5,2],[3,0]]
+[[4],[5,2,1],[3,0]]
+[[4,0],[5,2,1],[3]]
+[[4],[5,2,1,0],[3]]
+[[4,3],[5,2,1,0],[]]
+[[4,3,0],[5,2,1],[]]
+[[4,3,0],[5,2],[1]]
+[[4,3],[5,2,0],[1]]
+[[4,3],[5,2],[1,0]]
+[[4,3,2],[5],[1,0]]
+[[4,3,2,0],[5],[1]]
+[[4,3,2],[5,0],[1]]
+[[4,3,2,1],[5,0],[]]
+[[4,3,2,1,0],[5],[]]
+[[4,3,2,1,0],[],[5]]
+[[4,3,2,1],[0],[5]]
+[[4,3,2,1],[],[5,0]]
+[[4,3,2],[1],[5,0]]
+[[4,3,2],[1,0],[5]]
+[[4,3,2,0],[1],[5]]
+[[4,3,2,0],[],[5,1]]
+[[4,3,2],[0],[5,1]]
+[[4,3,2],[],[5,1,0]]
+[[4,3],[2],[5,1,0]]
+[[4,3,0],[2],[5,1]]
+[[4,3],[2,0],[5,1]]
+[[4,3,1],[2,0],[5]]
+[[4,3,1,0],[2],[5]]
+[[4,3,1,0],[],[5,2]]
+[[4,3,1],[0],[5,2]]
+[[4,3,1],[],[5,2,0]]
+[[4,3],[1],[5,2,0]]
+[[4,3],[1,0],[5,2]]
+[[4,3,0],[1],[5,2]]
+[[4,3,0],[],[5,2,1]]
+[[4,3],[0],[5,2,1]]
+[[4,3],[],[5,2,1,0]]
+[[4],[3],[5,2,1,0]]
+[[4,0],[3],[5,2,1]]
+[[4],[3,0],[5,2,1]]
+[[4,1],[3,0],[5,2]]
+[[4,1,0],[3],[5,2]]
+[[4,1,0],[3,2],[5]]
+[[4,1],[3,2,0],[5]]
+[[4,1],[3,2],[5,0]]
+[[4],[3,2,1],[5,0]]
+[[4],[3,2,1,0],[5]]
+[[4,0],[3,2,1],[5]]
+[[4,0],[3,2],[5,1]]
+[[4],[3,2,0],[5,1]]
+[[4],[3,2],[5,1,0]]
+[[4,2],[3],[5,1,0]]
+[[4,2,0],[3],[5,1]]
+[[4,2],[3,0],[5,1]]
+[[4,2,1],[3,0],[5]]
+[[4,2,1,0],[3],[5]]
+[[4,2,1,0],[],[5,3]]
+[[4,2,1],[0],[5,3]]
+[[4,2,1],[],[5,3,0]]
+[[4,2],[1],[5,3,0]]
+[[4,2],[1,0],[5,3]]
+[[4,2,0],[1],[5,3]]
+[[4,2,0],[],[5,3,1]]
+[[4,2],[0],[5,3,1]]
+[[4,2],[],[5,3,1,0]]
+[[4],[2],[5,3,1,0]]
+[[4,0],[2],[5,3,1]]
+[[4],[2,0],[5,3,1]]
+[[4,1],[2,0],[5,3]]
+[[4,1,0],[2],[5,3]]
+[[4,1,0],[],[5,3,2]]
+[[4,1],[0],[5,3,2]]
+[[4,1],[],[5,3,2,0]]
+[[4],[1],[5,3,2,0]]
+[[4],[1,0],[5,3,2]]
+[[4,0],[1],[5,3,2]]
+[[4,0],[],[5,3,2,1]]
+[[4],[0],[5,3,2,1]]
+[[4],[],[5,3,2,1,0]]
+[[],[4],[5,3,2,1,0]]
+[[0],[4],[5,3,2,1]]
+[[],[4,0],[5,3,2,1]]
+[[1],[4,0],[5,3,2]]
+[[1],[4],[5,3,2,0]]
+[[],[4,1],[5,3,2,0]]
+[[0],[4,1],[5,3,2]]
+[[],[4,1,0],[5,3,2]]
+[[2],[4,1,0],[5,3]]
+[[2,0],[4,1],[5,3]]
+[[2,0],[4],[5,3,1]]
+[[2],[4,0],[5,3,1]]
+[[2],[4],[5,3,1,0]]
+[[],[4,2],[5,3,1,0]]
+[[0],[4,2],[5,3,1]]
+[[],[4,2,0],[5,3,1]]
+[[1],[4,2,0],[5,3]]
+[[1],[4,2],[5,3,0]]
+[[],[4,2,1],[5,3,0]]
+[[0],[4,2,1],[5,3]]
+[[],[4,2,1,0],[5,3]]
+[[3],[4,2,1,0],[5]]
+[[3,0],[4,2,1],[5]]
+[[3,0],[4,2],[5,1]]
+[[3],[4,2,0],[5,1]]
+[[3,1],[4,2,0],[5]]
+[[3,1,0],[4,2],[5]]
+[[3,1,0],[4],[5,2]]
+[[3,1],[4,0],[5,2]]
+[[3,1],[4],[5,2,0]]
+[[3],[4,1],[5,2,0]]
+[[3],[4,1,0],[5,2]]
+[[3,0],[4,1],[5,2]]
+[[3,0],[4],[5,2,1]]
+[[3],[4,0],[5,2,1]]
+[[3],[4],[5,2,1,0]]
+[[],[4,3],[5,2,1,0]]
+[[0],[4,3],[5,2,1]]
+[[],[4,3,0],[5,2,1]]
+[[1],[4,3,0],[5,2]]
+[[1],[4,3],[5,2,0]]
+[[],[4,3,1],[5,2,0]]
+[[0],[4,3,1],[5,2]]
+[[],[4,3,1,0],[5,2]]
+[[2],[4,3,1,0],[5]]
+[[2,0],[4,3,1],[5]]
+[[2,0],[4,3],[5,1]]
+[[2],[4,3,0],[5,1]]
+[[2],[4,3],[5,1,0]]
+[[],[4,3,2],[5,1,0]]
+[[0],[4,3,2],[5,1]]
+[[],[4,3,2,0],[5,1]]
+[[1],[4,3,2,0],[5]]
+[[1],[4,3,2],[5,0]]
+[[],[4,3,2,1],[5,0]]
+[[0],[4,3,2,1],[5]]
+[[],[4,3,2,1,0],[5]]
+[[5],[4,3,2,1,0],[]]
+[[5,0],[4,3,2,1],[]]
+[[5,0],[4,3,2],[1]]
+[[5],[4,3,2,0],[1]]
+[[5],[4,3,2],[1,0]]
+[[5,2],[4,3],[1,0]]
+[[5,2,0],[4,3],[1]]
+[[5,2],[4,3,0],[1]]
+[[5,2,1],[4,3,0],[]]
+[[5,2,1,0],[4,3],[]]
+[[5,2,1,0],[4],[3]]
+[[5,2,1],[4,0],[3]]
+[[5,2,1],[4],[3,0]]
+[[5,2],[4,1],[3,0]]
+[[5,2],[4,1,0],[3]]
+[[5,2,0],[4,1],[3]]
+[[5,2,0],[4],[3,1]]
+[[5,2],[4,0],[3,1]]
+[[5,2],[4],[3,1,0]]
+[[5],[4,2],[3,1,0]]
+[[5,0],[4,2],[3,1]]
+[[5],[4,2,0],[3,1]]
+[[5,1],[4,2,0],[3]]
+[[5,1,0],[4,2],[3]]
+[[5,1,0],[4],[3,2]]
+[[5,1],[4,0],[3,2]]
+[[5,1],[4],[3,2,0]]
+[[5],[4,1],[3,2,0]]
+[[5],[4,1,0],[3,2]]
+[[5,0],[4,1],[3,2]]
+[[5,0],[4],[3,2,1]]
+[[5],[4,0],[3,2,1]]
+[[5],[4],[3,2,1,0]]
+[[5,4],[],[3,2,1,0]]
+[[5,4,0],[],[3,2,1]]
+[[5,4],[0],[3,2,1]]
+[[5,4,1],[0],[3,2]]
+[[5,4,1],[],[3,2,0]]
+[[5,4],[1],[3,2,0]]
+[[5,4,0],[1],[3,2]]
+[[5,4],[1,0],[3,2]]
+[[5,4,2],[1,0],[3]]
+[[5,4,2,0],[1],[3]]
+[[5,4,2,0],[],[3,1]]
+[[5,4,2],[0],[3,1]]
+[[5,4,2],[],[3,1,0]]
+[[5,4],[2],[3,1,0]]
+[[5,4,0],[2],[3,1]]
+[[5,4],[2,0],[3,1]]
+[[5,4,1],[2,0],[3]]
+[[5,4,1],[2],[3,0]]
+[[5,4],[2,1],[3,0]]
+[[5,4,0],[2,1],[3]]
+[[5,4],[2,1,0],[3]]
+[[5,4,3],[2,1,0],[]]
+[[5,4,3,0],[2,1],[]]
+[[5,4,3,0],[2],[1]]
+[[5,4,3],[2,0],[1]]
+[[5,4,3],[2],[1,0]]
+[[5,4,3,2],[],[1,0]]
+[[5,4,3,2,0],[],[1]]
+[[5,4,3,2],[0],[1]]
+[[5,4,3,2,1],[0],[]]
+[[5,4,3,2,1,0],[],[]]