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面试题23—从上往下打印二叉树

2017-06-27 09:37 447 查看
题目:从上往下打印二叉树的每个节点,同一行的节点按照从左到右打印。


代码示例:

头文件:BinaryTree.h

#pragma once
#include<iostream>
struct BinaryTreeNode
{
int                    m_nValue;
BinaryTreeNode*        m_pLeft;
BinaryTreeNode*        m_pRight;
};

BinaryTreeNode* CreateBinaryTreeNode(int value);
void ConnectTreeNodes(BinaryTreeNode* pParent, BinaryTreeNode* pLeft, BinaryTreeNode* pRight);
void PrintTreeNode(BinaryTreeNode* pNode);
void PrintTree(BinaryTreeNode* pRoot);
void DestroyTree(BinaryTreeNode* pRoot);


源文件:BinaryTree.cpp

#include "BinaryTree.h"

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

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);
}
}


主函数:main.cpp

#include "BinaryTree.h"
#include <deque>

void PrintFromTopToBottom(BinaryTreeNode* pRoot)
{
if (pRoot == NULL)
return;

std::deque<BinaryTreeNode *> dequeTreeNode;

dequeTreeNode.push_back(pRoot);

while (dequeTreeNode.size())
{
BinaryTreeNode *pNode = dequeTreeNode.front();
dequeTreeNode.pop_front();

printf("%d ", pNode->m_nValue);

if (pNode->m_pLeft)
dequeTreeNode.push_back(pNode->m_pLeft);

if (pNode->m_pRight)
dequeTreeNode.push_back(pNode->m_pRight);
}
}

// ====================测试代码====================
void Test(char* testName, BinaryTreeNode* pRoot)
{
if (testName != NULL)
printf("%s begins: \n", testName);

PrintTree(pRoot);

printf("The nodes from top to bottom, from left to right are: \n");
PrintFromTopToBottom(pRoot);

printf("\n\n");
}

//            10
//         /      \
//        6        14
//       /\        /\
//      4  8     12  16
void Test1()
{
BinaryTreeNode* pNode10 = CreateBinaryTreeNode(10);
BinaryTreeNode* pNode6 = CreateBinaryTreeNode(6);
BinaryTreeNode* pNode14 = CreateBinaryTreeNode(14);
BinaryTreeNode* pNode4 = CreateBinaryTreeNode(4);
BinaryTreeNode* pNode8 = CreateBinaryTreeNode(8);
BinaryTreeNode* pNode12 = CreateBinaryTreeNode(12);
BinaryTreeNode* pNode16 = CreateBinaryTreeNode(16);

ConnectTreeNodes(pNode10, pNode6, pNode14);
ConnectTreeNodes(pNode6, pNode4, pNode8);
ConnectTreeNodes(pNode14, pNode12, pNode16);

Test("Test1", pNode10);

DestroyTree(pNode10);
}

//               5
//              /
//             4
//            /
//           3
//          /
//         2
//        /
//       1
void Test2()
{
BinaryTreeNode* pNode5 = CreateBinaryTreeNode(5);
BinaryTreeNode* pNode4 = CreateBinaryTreeNode(4);
BinaryTreeNode* pNode3 = CreateBinaryTreeNode(3);
BinaryTreeNode* pNode2 = CreateBinaryTreeNode(2);
BinaryTreeNode* pNode1 = CreateBinaryTreeNode(1);

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

Test("Test2", pNode5);

DestroyTree(pNode5);
}

// 1
//  \
//   2
//    \
//     3
//      \
//       4
//        \
//         5
void Test3()
{
BinaryTreeNode* pNode1 = CreateBinaryTreeNode(1);
BinaryTreeNode* pNode2 = CreateBinaryTreeNode(2);
BinaryTreeNode* pNode3 = CreateBinaryTreeNode(3);
BinaryTreeNode* pNode4 = CreateBinaryTreeNode(4);
BinaryTreeNode* pNode5 = CreateBinaryTreeNode(5);

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

Test("Test3", pNode1);

DestroyTree(pNode1);
}

// 树中只有1个结点
void Test4()
{
BinaryTreeNode* pNode1 = CreateBinaryTreeNode(1);
Test("Test4", pNode1);

DestroyTree(pNode1);
}

// 树中没有结点
void Test5()
{
Test("Test5", NULL);
}

int main()
{
Test1();
/*Test2();
Test3();
Test4();
Test5();*/
return 0;
}
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