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PHP 二叉树的深度优先与广度优先遍历

2012-09-24 23:41 363 查看
<?php
#二叉树的广度优先遍历
#使用一个队列实现

class Node {
public $data = null;
public $left = null;
public $right = null;
}

#@param $btree 二叉树根节点
function breadth_first_traverse($btree) {
$traverse_data = array();
$queue = array();
array_unshift($queue, $btree); #根节点入队

while (!empty($queue)) { #持续输出节点,直到队列为空
$cnode = array_pop($queue); #队尾元素出队
$traverse_data[] = $cnode->data;

#左节点先入队,然后右节点入队
if ($cnode->left != null) array_unshift($queue, $cnode->left);
if ($cnode->right != null) array_unshift($queue, $cnode->right);
}

return $traverse_data;
}

#深度优先遍历,使用一个栈实现
function depth_first_traverse($btree) {
$traverse_data = array();
$stack = array();
array_push($stack, $btree);

while (!empty($stack)) {
$cnode = array_pop($stack);
$traverse_data[] = $cnode->data;

if ($cnode->right != null) array_push($stack, $cnode->right);
if ($cnode->left != null) array_push($stack, $cnode->left);
}

return $traverse_data;
}

$root = new Node();
$node1 = new Node();
$node2 = new Node();
$node3 = new Node();
$node4 = new Node();
$node5 = new Node();
$node6 = new Node();

$root->data = 1;
$node1->data = 2;
$node2->data = 3;
$node3->data = 4;
$node4->data = 5;
$node5->data = 6;
$node6->data = 7;

$root->left = $node1;
$root->right = $node2;
$node1->left = $node3;
$node1->right = $node4;
$node2->left = $node5;
$node2->right = $node6;

$traverse = breadth_first_traverse($root);
print_r($traverse);
echo "<br>";
$traverse = depth_first_traverse($root);
print_r($traverse);
?>



Array ( [0] => 1 [1] => 2 [2] => 3 [3] => 4 [4] => 5 [5] => 6 [6] => 7 )
Array ( [0] => 1 [1] => 2 [2] => 4 [3] => 5 [4] => 3 [5] => 6 [6] => 7 )

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