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php如何实现的二叉树遍历算法


创建的二叉树如下图所示

php如何实现的二叉树遍历算法 帮客之家

php代码如下所示:


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<?php

class Node {

  public $value;

  public $child_left;

  public $child_right;

}

final class Ergodic {

  //前序遍历:先访问根节点,再遍历左子树,最后遍历右子树;并且在遍历左右子树时,仍需先遍历根节点,然后访问左子树,最后遍历右子树

  public static function preOrder($root){

    $stack = array();

    array_push($stack, $root);

    while(!empty($stack)){

      $center_node = array_pop($stack);

      echo $center_node->value . ' ';

      //先把右子树节点入栈,以确保左子树节点先出栈

      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);

    }

  }

  //中序遍历:先遍历左子树、然后访问根节点,最后遍历右子树;并且在遍历左右子树的时候。仍然是先遍历左子树,然后访问根节点,最后遍历右子树

  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;

    }

  }

  //后序遍历:先遍历左子树,然后遍历右子树,最后访问根节点;同样,在遍历左右子树的时候同样要先遍历左子树,然后遍历右子树,最后访问根节点

  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);

      //左子树节点先入$pushstack的栈,确保在$visitstack中先出栈

      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 . ' ';

    }

  }

}

//创建二叉树

$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;

//前序遍历

Ergodic::preOrder($a); //结果是:A B D H I G C E F

echo '<br/>';

//中序遍历

Ergodic::midOrder($a); //结果是: H D I B G A E C F

echo '<br/>';

//后序遍历

Ergodic::endOrder($a); //结果是: H I D G B E F C A

www.phpzy.comtrue/php/27872.htmlTechArticlephp如何实现的二叉树遍历算法 创建的二叉树如下图所示 php代码如下所示: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50...

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