| 1 |  |  | <?php | 
            
                                                                                                            
                            
            
                                    
            
            
                | 2 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 3 |  |  | declare(strict_types=1); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 4 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 5 |  |  | namespace Yoanm\CommonDSA\Algorithm\BinaryTree; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 6 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 7 |  |  | use Generator; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 8 |  |  | use SplQueue; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 9 |  |  | use SplStack; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 10 |  |  | use Yoanm\CommonDSA\DataStructure\BinaryTree\NodeInterface as Node; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 11 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 12 |  |  | /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 13 |  |  |  * Binary tree traversal leveraging iterative functions. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 14 |  |  |  * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 15 |  |  |  * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 16 |  |  |  * @see \Yoanm\CommonDSA\Algorithm\BinaryTree\RecursiveTraversal for recursive implementations. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 17 |  |  |  */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 18 |  |  | class Traversal | 
            
                                                                                                            
                            
            
                                    
            
            
                | 19 |  |  | { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 20 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 21 |  |  |      * @see \Yoanm\CommonDSA\Algorithm\BinaryTree\Traversal::preOrderGenerator() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 22 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 23 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 24 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 25 |  |  |      * @return Node[] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 26 |  |  |      * @phpstan-return list<Node> | 
            
                                                                                                            
                            
            
                                    
            
            
                | 27 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 28 | 7 |  |     public static function preOrder(Node $node): array | 
            
                                                                                                            
                            
            
                                    
            
            
                | 29 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 30 |  |  |         // ⚠ Do not preserve keys in order to always return a list ! | 
            
                                                                                                            
                            
            
                                    
            
            
                | 31 | 7 |  |         return iterator_to_array(self::preOrderGenerator($node), false); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 32 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 33 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 34 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 35 |  |  |      * @see \Yoanm\CommonDSA\Algorithm\BinaryTree\Traversal::inOrderGenerator() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 36 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 37 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 38 |  |  |      * @return Node[] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 39 |  |  |      * @phpstan-return list<Node> | 
            
                                                                                                            
                            
            
                                    
            
            
                | 40 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 41 | 2 |  |     public static function inOrder(Node $node): array | 
            
                                                                                                            
                            
            
                                    
            
            
                | 42 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 43 |  |  |         // ⚠ Do not preserve keys in order to always return a list ! | 
            
                                                                                                            
                            
            
                                    
            
            
                | 44 | 2 |  |         return iterator_to_array(self::inOrderGenerator($node), false); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 45 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 46 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 47 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 48 |  |  |      * @see \Yoanm\CommonDSA\Algorithm\BinaryTree\Traversal::postOrderGenerator() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 49 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 50 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 51 |  |  |      * @return Node[] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 52 |  |  |      * @phpstan-return list<Node> | 
            
                                                                                                            
                            
            
                                    
            
            
                | 53 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 54 | 2 |  |     public static function postOrder(Node $node): array | 
            
                                                                                                            
                            
            
                                    
            
            
                | 55 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 56 |  |  |         // ⚠ Do not preserve keys in order to always return a list ! | 
            
                                                                                                            
                            
            
                                    
            
            
                | 57 | 2 |  |         return iterator_to_array(self::postOrderGenerator($node), false); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 58 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 59 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 60 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 61 |  |  |      * @see \Yoanm\CommonDSA\Algorithm\BinaryTree\Traversal::BFSGenerator() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 62 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 63 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 64 |  |  |      * @return Node[] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 65 |  |  |      * @phpstan-return list<Node> | 
            
                                                                                                            
                            
            
                                    
            
            
                | 66 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 67 | 3 |  |     public static function BFS(Node $node): array | 
            
                                                                                                            
                            
            
                                    
            
            
                | 68 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 69 |  |  |         // ⚠ Do not preserve keys in order to always return a list ! | 
            
                                                                                                            
                            
            
                                    
            
            
                | 70 | 3 |  |         return iterator_to_array(self::BFSGenerator($node), false); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 71 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 72 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 73 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 74 |  |  |      * @see \Yoanm\CommonDSA\Algorithm\BinaryTree\Traversal::levelOrderGenerator() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 75 |  |  |      * @see \Yoanm\CommonDSA\Algorithm\BinaryTree\Traversal::BFS() if node level isn't useful. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 76 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 77 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 78 |  |  |      * @return array<int, array<Node>> key is the level, value is the list of nodes for that level | 
            
                                                                                                            
                            
            
                                    
            
            
                | 79 |  |  |      * @phpstan-return list<list<Node>> | 
            
                                                                                                            
                            
            
                                    
            
            
                | 80 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 81 | 3 |  |     public static function levelOrder(Node $node): array | 
            
                                                                                                            
                            
            
                                    
            
            
                | 82 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 83 |  |  |         // ⚠ Do not preserve keys in order to always return a list ! | 
            
                                                                                                            
                            
            
                                    
            
            
                | 84 | 3 |  |         return iterator_to_array(self::levelOrderGenerator($node), false); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 85 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 86 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 87 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 88 |  |  |      * Pre-order: N->L->R => Node, then Left child, then Right child. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 89 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 90 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 91 |  |  |      * <br> | 
            
                                                                                                            
                            
            
                                    
            
            
                | 92 |  |  |      * ### Time/Space complexity | 
            
                                                                                                            
                            
            
                                    
            
            
                | 93 |  |  |      * With: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 94 |  |  |      * - 𝑛 the number of node in the tree | 
            
                                                                                                            
                            
            
                                    
            
            
                | 95 |  |  |      * - 𝘩 the tree height, usually ㏒(𝑛) (=balanced tree).<br> | 
            
                                                                                                            
                            
            
                                    
            
            
                | 96 |  |  |      *   ⚠ 𝘩 = 𝑛 if every node has only a left child (skewed tree) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 97 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 98 |  |  |      * TC: 𝑂⟮𝑛⟯ - Each node will be visited only one time | 
            
                                                                                                            
                            
            
                                    
            
            
                | 99 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 100 |  |  |      * SC: 𝑂⟮𝘩⟯ - Due to the stack storing parent nodes path up to the root node. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 101 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 102 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 103 |  |  |      * @return Generator<Node> | 
            
                                                                                                            
                                                                
            
                                    
            
            
                | 104 |  |  |      */ | 
            
                                                                        
                            
            
                                    
            
            
                | 105 | 14 |  |     public static function preOrderGenerator(Node $node): Generator | 
            
                                                                        
                            
            
                                    
            
            
                | 106 |  |  |     { | 
            
                                                                        
                            
            
                                    
            
            
                | 107 |  |  |         /** @var SplStack<Node> $stack */ | 
            
                                                                        
                            
            
                                    
            
            
                | 108 | 14 |  |         $stack = new SplStack(); | 
            
                                                                        
                            
            
                                    
            
            
                | 109 |  |  |  | 
            
                                                                        
                            
            
                                    
            
            
                | 110 | 14 |  |         $stack->push($node); | 
            
                                                                        
                            
            
                                    
            
            
                | 111 |  |  |  | 
            
                                                                        
                            
            
                                    
            
            
                | 112 | 14 |  |         while (!$stack->isEmpty()) { | 
            
                                                                        
                            
            
                                    
            
            
                | 113 | 14 |  |             $currentNode = $stack->pop(); | 
            
                                                                        
                            
            
                                    
            
            
                | 114 |  |  |  | 
            
                                                                        
                            
            
                                    
            
            
                | 115 | 14 |  |             yield $currentNode; | 
            
                                                                        
                            
            
                                    
            
            
                | 116 |  |  |  | 
            
                                                                        
                            
            
                                    
            
            
                | 117 | 14 |  |             if (null !== $currentNode->right) { | 
            
                                                                        
                            
            
                                    
            
            
                | 118 | 12 |  |                 $stack->push($currentNode->right); | 
            
                                                                        
                            
            
                                    
            
            
                | 119 |  |  |             } | 
            
                                                                        
                            
            
                                    
            
            
                | 120 | 14 |  |             if (null !== $currentNode->left) { | 
            
                                                                        
                            
            
                                    
            
            
                | 121 | 12 |  |                 $stack->push($currentNode->left); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 122 |  |  |             } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 123 |  |  |         } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 124 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 125 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 126 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 127 |  |  |      * In-order (=DFS): L->N->R => Left child, then Node, then Right child. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 128 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 129 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 130 |  |  |      * <br> | 
            
                                                                                                            
                            
            
                                    
            
            
                | 131 |  |  |      * ### Time/Space complexity | 
            
                                                                                                            
                            
            
                                    
            
            
                | 132 |  |  |      * With: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 133 |  |  |      * - 𝑛 the number of node in the tree | 
            
                                                                                                            
                            
            
                                    
            
            
                | 134 |  |  |      * - 𝘩 the tree height, usually ㏒(𝑛) (=balanced tree).<br> | 
            
                                                                                                            
                            
            
                                    
            
            
                | 135 |  |  |      *   ⚠ 𝘩 = 𝑛 if every node has only a left child (skewed tree) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 136 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 137 |  |  |      * TC: 𝑂⟮𝑛⟯ - Each node will be visited only one time | 
            
                                                                                                            
                            
            
                                    
            
            
                | 138 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 139 |  |  |      * SC: 𝑂⟮𝘩⟯ - Due to the stack storing parent nodes path up to the root node. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 140 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 141 |  |  |      * @return Generator<Node> | 
            
                                                                                                            
                            
            
                                    
            
            
                | 142 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 143 | 4 |  |     public static function inOrderGenerator(Node $node): Generator | 
            
                                                                                                            
                            
            
                                    
            
            
                | 144 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 145 |  |  |         /** @var SplStack<Node> $stack */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 146 | 4 |  |         $stack = new SplStack(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 147 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 148 | 4 |  |         $currentNode = $node; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 149 | 4 |  |         while (null !== $currentNode || !$stack->isEmpty()) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 150 | 4 |  |             while (null !== $currentNode) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 151 | 4 |  |                 $stack->push($currentNode); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 152 | 4 |  |                 $currentNode = $currentNode->left; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 153 |  |  |             } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 154 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 155 |  |  |             // Current node becomes the leftmost leaf found | 
            
                                                                                                            
                            
            
                                    
            
            
                | 156 |  |  |             // (or the same current node in case it doesn't have left node!) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 157 | 4 |  |             $currentNode = $stack->pop(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 158 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 159 | 4 |  |             yield $currentNode; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 160 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 161 |  |  |             // Left is now managed, let's take a look on right side | 
            
                                                                                                            
                            
            
                                    
            
            
                | 162 | 4 |  |             $currentNode = $currentNode->right; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 163 |  |  |         } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 164 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 165 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 166 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 167 |  |  |      * Post-order: L->R->N => Left child, then Right child, then Node. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 168 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 169 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 170 |  |  |      * <br> | 
            
                                                                                                            
                            
            
                                    
            
            
                | 171 |  |  |      * ### Time/Space complexity | 
            
                                                                                                            
                            
            
                                    
            
            
                | 172 |  |  |      * With: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 173 |  |  |      * - 𝑛 the number of node in the tree | 
            
                                                                                                            
                            
            
                                    
            
            
                | 174 |  |  |      * - 𝘩 the tree height, usually ㏒(𝑛) (=balanced tree).<br> | 
            
                                                                                                            
                            
            
                                    
            
            
                | 175 |  |  |      *   ⚠ 𝘩 = 𝑛 if every node has only a left child (skewed tree) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 176 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 177 |  |  |      * TC: 𝑂⟮𝑛⟯ - Each node will be visited only one time | 
            
                                                                                                            
                            
            
                                    
            
            
                | 178 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 179 |  |  |      * SC: 𝑂⟮𝘩⟯ - Due to the stack storing parent nodes path up to the root node. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 180 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 181 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 182 |  |  |      * @return Generator<Node> | 
            
                                                                                                            
                            
            
                                    
            
            
                | 183 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 184 | 4 |  |     public static function postOrderGenerator(Node $node): Generator | 
            
                                                                                                            
                            
            
                                    
            
            
                | 185 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 186 |  |  |         /** @var SplStack<Node> $stack */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 187 | 4 |  |         $stack = new SplStack(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 188 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 189 | 4 |  |         $currentNode = $node; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 190 | 4 |  |         while (null !== $currentNode || !$stack->isEmpty()) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 191 | 4 |  |             while (null !== $currentNode) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 192 | 4 |  |                 if (null !== $currentNode->right) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 193 | 4 |  |                     $stack->push($currentNode->right); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 194 |  |  |                 } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 195 | 4 |  |                 $stack->push($currentNode); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 196 | 4 |  |                 $currentNode = $currentNode->left; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 197 |  |  |             } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 198 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 199 | 4 |  |             $currentNode = $stack->pop(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 200 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 201 | 4 |  |             if (!$stack->isEmpty() && $currentNode->right === $stack->top()) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 202 |  |  |                 // Remove current node right child from the stack, it will become $currentNode for next iteration | 
            
                                                                                                            
                            
            
                                    
            
            
                | 203 | 4 |  |                 $stack->pop(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 204 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 205 | 4 |  |                 $stack->push($currentNode); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 206 | 4 |  |                 $currentNode = $currentNode->right; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 207 |  |  |             } else { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 208 | 4 |  |                 yield $currentNode; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 209 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 210 | 4 |  |                 $currentNode = null; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 211 |  |  |             } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 212 |  |  |         } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 213 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 214 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 215 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 216 |  |  |      * Level order (=BFS): Traverse tree level by level, from Left to Right | 
            
                                                                                                            
                            
            
                                    
            
            
                | 217 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 218 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 219 |  |  |      * <br> | 
            
                                                                                                            
                            
            
                                    
            
            
                | 220 |  |  |      * 💡 Reverse the list for reversed level-order traversal ! | 
            
                                                                                                            
                            
            
                                    
            
            
                | 221 |  |  |      * <br> | 
            
                                                                                                            
                            
            
                                    
            
            
                | 222 |  |  |      * <br> | 
            
                                                                                                            
                            
            
                                    
            
            
                | 223 |  |  |      * ### Time/Space complexity | 
            
                                                                                                            
                            
            
                                    
            
            
                | 224 |  |  |      * With: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 225 |  |  |      * - 𝑛 the number of node in the tree | 
            
                                                                                                            
                            
            
                                    
            
            
                | 226 |  |  |      * - 𝑚 the number of nodes for the bigger level | 
            
                                                                                                            
                            
            
                                    
            
            
                | 227 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 228 |  |  |      * TC: 𝑂⟮𝑛⟯ - Each node will be visited only one time | 
            
                                                                                                            
                            
            
                                    
            
            
                | 229 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 230 |  |  |      * SC: 𝑂⟮𝑚⟯ - Due to the queue storing current level parent nodes, plus temporary list storing every node | 
            
                                                                                                            
                            
            
                                    
            
            
                | 231 |  |  |      * for the current level | 
            
                                                                                                            
                            
            
                                    
            
            
                | 232 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 233 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 234 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 235 |  |  |      * @see \Yoanm\CommonDSA\Algorithm\BinaryTree\Traversal::BFSGenerator() if node level isn't useful. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 236 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 237 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 238 |  |  |      * @return Generator<int, array<Node>> key is the level, value is the list of nodes for that level | 
            
                                                                                                            
                            
            
                                    
            
            
                | 239 |  |  |      * @phpstan-return Generator<int, list<Node>> | 
            
                                                                                                            
                            
            
                                    
            
            
                | 240 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 241 | 6 |  |     public static function levelOrderGenerator(Node $node): Generator | 
            
                                                                                                            
                            
            
                                    
            
            
                | 242 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 243 |  |  |         /** @var SplQueue<Node> $queue */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 244 | 6 |  |         $queue = new SplQueue(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 245 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 246 | 6 |  |         $queue->enqueue($node); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 247 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 248 | 6 |  |         while (!$queue->isEmpty()) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 249 | 6 |  |             $nodeList = []; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 250 | 6 |  |             $currentLevelNodeCounter = $queue->count(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 251 | 6 |  |             while ($currentLevelNodeCounter > 0) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 252 | 6 |  |                 $node = $queue->dequeue(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 253 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 254 | 6 |  |                 $nodeList[] = $node; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 255 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 256 | 6 |  |                 if (null !== $node->left) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 257 | 6 |  |                     $queue->enqueue($node->left); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 258 |  |  |                 } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 259 | 6 |  |                 if (null !== $node->right) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 260 | 6 |  |                     $queue->enqueue($node->right); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 261 |  |  |                 } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 262 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 263 | 6 |  |                 --$currentLevelNodeCounter; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 264 |  |  |             } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 265 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 266 | 6 |  |             yield $nodeList; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 267 |  |  |         } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 268 |  |  |     } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 269 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 270 |  |  |     /** | 
            
                                                                                                            
                            
            
                                    
            
            
                | 271 |  |  |      * BFS: Traverse tree level by level, from Left to Right.<br> | 
            
                                                                                                            
                            
            
                                    
            
            
                | 272 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 273 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 274 |  |  |      * <br> | 
            
                                                                                                            
                            
            
                                    
            
            
                | 275 |  |  |      * ### Time/Space complexity | 
            
                                                                                                            
                            
            
                                    
            
            
                | 276 |  |  |      * With: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 277 |  |  |      * - 𝑛 the number of node in the tree | 
            
                                                                                                            
                            
            
                                    
            
            
                | 278 |  |  |      * - 𝑚 the number of nodes for the bigger level | 
            
                                                                                                            
                            
            
                                    
            
            
                | 279 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 280 |  |  |      * TC: 𝑂⟮𝑛⟯ - Each node will be visited only one time | 
            
                                                                                                            
                            
            
                                    
            
            
                | 281 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 282 |  |  |      * SC: 𝑂⟮𝑚⟯ - Due to the queue storing current level parent nodes | 
            
                                                                                                            
                            
            
                                    
            
            
                | 283 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 284 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 285 |  |  |      * @see \Yoanm\CommonDSA\Algorithm\BinaryTree\Traversal::levelOrderGenerator() if node level must be known ! | 
            
                                                                                                            
                            
            
                                    
            
            
                | 286 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 287 |  |  |      * | 
            
                                                                                                            
                            
            
                                    
            
            
                | 288 |  |  |      * @return Generator<Node> | 
            
                                                                                                            
                            
            
                                    
            
            
                | 289 |  |  |      */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 290 | 6 |  |     public static function BFSGenerator(Node $node): Generator | 
            
                                                                                                            
                            
            
                                    
            
            
                | 291 |  |  |     { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 292 |  |  |         /** @var SplQueue<Node> $queue */ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 293 | 6 |  |         $queue = new SplQueue(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 294 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 295 | 6 |  |         $queue->enqueue($node); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 296 | 6 |  |         while (!$queue->isEmpty()) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 297 | 6 |  |             $currentLevelNodeCounter = $queue->count(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 298 | 6 |  |             while ($currentLevelNodeCounter > 0) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 299 | 6 |  |                 $node = $queue->dequeue(); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 300 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 301 | 6 |  |                 yield $node; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 302 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 303 | 6 |  |                 if (null !== $node->left) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 304 | 6 |  |                     $queue->enqueue($node->left); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 305 |  |  |                 } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 306 | 6 |  |                 if (null !== $node->right) { | 
            
                                                                                                            
                            
            
                                    
            
            
                | 307 | 6 |  |                     $queue->enqueue($node->right); | 
            
                                                                                                            
                            
            
                                    
            
            
                | 308 |  |  |                 } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 309 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 310 | 6 |  |                 --$currentLevelNodeCounter; | 
            
                                                                                                            
                            
            
                                    
            
            
                | 311 |  |  |             } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 312 |  |  |         } | 
            
                                                                                                            
                            
            
                                    
            
            
                | 313 |  |  |     } | 
            
                                                                                                            
                                                                
            
                                    
            
            
                | 314 |  |  | } | 
            
                                                        
            
                                    
            
            
                | 315 |  |  |  |