本文實例講述了php實現的二叉樹遍歷算法。分享給大家供大家參考,具體如下:
今天使用php來實現二叉樹的遍歷
創建的二叉樹如下圖所示
php代碼如下所示:
<?php class Node { public $value; public $child_left; public $child_right; } final class Ergodic { //前序遍歷:先訪問根節點,再遍歷左子樹,最后遍歷右子樹;并且在遍歷左右子樹時,仍需先遍歷根節點,然后訪問左子樹,最后遍歷右子樹 public static function preOrder($root){ $stack = array(); array_push($stack, $root); while(!empty($stack)){ $center_node = array_pop($stack); echo $center_node->value . ' '; //先把右子樹節點入棧,以確保左子樹節點先出棧 if($center_node->child_right != null) array_push($stack, $center_node->child_right); if($center_node->child_left != null) array_push($stack, $center_node->child_left); } } //中序遍歷:先遍歷左子樹、然后訪問根節點,最后遍歷右子樹;并且在遍歷左右子樹的時候。仍然是先遍歷左子樹,然后訪問根節點,最后遍歷右子樹 public static function midOrder($root){ $stack = array(); $center_node = $root; while (!empty($stack) || $center_node != null) { while ($center_node != null) { array_push($stack, $center_node); $center_node = $center_node->child_left; } $center_node = array_pop($stack); echo $center_node->value . ' '; $center_node = $center_node->child_right; } } //后序遍歷:先遍歷左子樹,然后遍歷右子樹,最后訪問根節點;同樣,在遍歷左右子樹的時候同樣要先遍歷左子樹,然后遍歷右子樹,最后訪問根節點 public static function endOrder($root){ $push_stack = array(); $visit_stack = array(); array_push($push_stack, $root); while (!empty($push_stack)) { $center_node = array_pop($push_stack); array_push($visit_stack, $center_node); //左子樹節點先入$pushstack的棧,確保在$visitstack中先出棧 if ($center_node->child_left != null) array_push($push_stack, $center_node->child_left); if ($center_node->child_right != null) array_push($push_stack, $center_node->child_right); } while (!empty($visit_stack)) { $center_node = array_pop($visit_stack); echo $center_node->value . ' '; } } } //創建二叉樹 $a = new Node(); $b = new Node(); $c = new Node(); $d = new Node(); $e = new Node(); $f = new Node(); $g = new Node(); $h = new Node(); $i = new Node(); $a->value = 'A'; $b->value = 'B'; $c->value = 'C'; $d->value = 'D'; $e->value = 'E'; $f->value = 'F'; $g->value = 'G'; $h->value = 'H'; $i->value = 'I'; $a->child_left = $b; $a->child_right = $c; $b->child_left = $d; $b->child_right = $g; $c->child_left = $e; $c->child_right = $f; $d->child_left = $h; $d->child_right = $i; //前序遍歷 Ergodic::preOrder($a); //結果是:A B D H I G C E F echo '<br/>'; //中序遍歷 Ergodic::midOrder($a); //結果是: H D I B G A E C F echo '<br/>'; //后序遍歷 Ergodic::endOrder($a); //結果是: H I D G B E F C A
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