再談二叉樹的深度

題目：輸入一棵二叉樹的根節點，求該樹的深度。從根節點到葉子結點一次經過的結點形成樹的一條路徑，最長路徑的長度為樹的深度。根節點的深度為1。

前文：二叉樹的深度 http://www.linuxidc.com/Linux/2014-09/106591.htm

思路:如果根節點為空，則深度為0，返回0，遞歸的出口，如果根節點不為空，那麼深度至少為1，然後我們求他們左右子樹的深度，比較左右子樹深度值，返回較大的那一個，通過遞歸調用

#include<stdio.h>
#include "stdafx.h"

struct BinaryTreeNode
{
int m_nValue;
BinaryTreeNode* m_pLeft;
BinaryTreeNode* m_pRight;
};

BinaryTreeNode* CreateBinaryTreeNode(int value)
{
BinaryTreeNode* pNode = new BinaryTreeNode();
pNode->m_nValue = value;
pNode->m_pLeft = NULL;
pNode->m_pRight = NULL;
}

void ConnectTreeNodes(BinaryTreeNode* pParent, BinaryTreeNode* pLeft, BinaryTreeNode* pRight)
{
if(pParent != NULL)
{
pParent->m_pLeft = pLeft;
pParent->m_pRight = pRight;
}
}

void PrintTreeNode(BinaryTreeNode* pNode)
{
if(pNode != NULL)
{
printf("value of this node is: %d\n", pNode->m_nValue);

if(pNode->m_pLeft != NULL)
printf("value of its left child is: %d.\n", pNode->m_pLeft->m_nValue);
else
printf("left child is null.\n");

if(pNode->m_pRight != NULL)
printf("value of its right child is: %d.\n",pNode->m_pRight->m_nValue);
else
printf("right child is null.\n");
}
else
{
printf("this node is null.\n");
}
printf("\n");
}

void PrintTree(BinaryTreeNode* pRoot)
{
PrintTreeNode(pRoot);

if(pRoot != NULL)
{
if(pRoot->m_pLeft != NULL)
PrintTree(pRoot->m_pLeft);

if(pRoot->m_pRight != NULL)
PrintTree(pRoot->m_pRight);
}
}

void DestroyTree(BinaryTreeNode* pRoot)
{
if(pRoot != NULL)
{
BinaryTreeNode* pLeft = pRoot->m_pLeft;
BinaryTreeNode* pRight = pRoot->m_pRight;

delete pRoot;
pRoot = NULL;

DestroyTree(pLeft);
DestroyTree(pRight);
}
}

int TreeDepth(BinaryTreeNode* pRoot)
{
if(pRoot == NULL)
return 0;

int nLeft = TreeDepth(pRoot->m_pLeft);
int nRight = TreeDepth(pRoot->m_pRight);

return (nLeft > nRight) ? (nLeft + 1) : (nRight + 1);
}

// 1
// / \
// 2 3
// /\ \
// 4 5 6
// /
// 7

int main()
{
BinaryTreeNode* pNode1 = CreateBinaryTreeNode(1);
BinaryTreeNode* pNode2 = CreateBinaryTreeNode(2);
BinaryTreeNode* pNode3 = CreateBinaryTreeNode(3);
BinaryTreeNode* pNode4 = CreateBinaryTreeNode(4);
BinaryTreeNode* pNode5 = CreateBinaryTreeNode(5);
BinaryTreeNode* pNode6 = CreateBinaryTreeNode(6);
BinaryTreeNode* pNode7 = CreateBinaryTreeNode(7);

ConnectTreeNodes(pNode1, pNode2, pNode3);
ConnectTreeNodes(pNode2, pNode4, pNode5);
ConnectTreeNodes(pNode3, NULL, pNode6);
ConnectTreeNodes(pNode5, pNode7, NULL );

int result = TreeDepth(pNode1);
printf("The depth of binarytree is %d\n", result);

DestroyTree(pNode1);
return 0;
}

二叉樹的常見問題及其解決程序 http://www.linuxidc.com/Linux/2013-04/83661.htm

【遞歸】二叉樹的先序建立及遍歷 http://www.linuxidc.com/Linux/2012-12/75608.htm

在JAVA中實現的二叉樹結構 http://www.linuxidc.com/Linux/2008-12/17690.htm

【非遞歸】二叉樹的建立及遍歷 http://www.linuxidc.com/Linux/2012-12/75607.htm

二叉樹遞歸實現與二重指針 http://www.linuxidc.com/Linux/2013-07/87373.htm

二叉樹先序中序非遞歸算法 http://www.linuxidc.com/Linux/2014-06/102935.htm

輕松搞定面試中的二叉樹題目 http://www.linuxidc.com/linux/2014-07/104857.htm