// 判断满二叉树.cpp : 定义控制台应用程序的入口点。
//
#include “stdafx.h”
#include <iostream>
#include <queue>
using namespace std;
//节点的数据结构
class BTree
{
public:
int m_nValue;
BTree* m_nLeft;
BTree* m_nRight;
public:
BTree(int value)
{
m_nValue = value;
}
};
//二叉树的插入实现
void Insert(int value, BTree* &root)
{
if(root == NULL)
{
root = new BTree(value);
}
else if(value < root->m_nValue)
Insert(value, root->m_nLeft);
else if(value > root->m_nValue)
Insert(value, root->m_nRight);
else
;
}
bool IsCompleteBTree(BTree* pRoot)
{
if(pRoot == NULL)
return false;
queue<BTree *> q;
q.push(pRoot);
bool mustHaveNoChild = false;
bool result = true;
while(!q.empty())
{
BTree* pNode = q.front();
q.pop();
if(mustHaveNoChild)//如果一个节点没有子节点;只要出现了空子树的节点，后面出现的必须为叶子节点（左字树右子树必须为空）
{
if(pNode->m_nLeft != NULL || pNode->m_nRight != NULL)
{
result = false;
break;
}
}
else
{
if(pNode->m_nLeft != NULL && pNode->m_nRight != NULL)
{
q.push(pNode->m_nLeft);
q.push(pNode->m_nRight);
}
else if(pNode->m_nLeft != NULL && pNode->m_nRight == NULL)
{
mustHaveNoChild = true;
q.push(pNode->m_nLeft);
}
else if(pNode->m_nLeft == NULL && pNode->m_nRight != NULL)
{
result = false;
break;
}
else
{
mustHaveNoChild = true;
}
}
}
return result;
}
int main()
{
BTree* m_pRoot = new BTree(5);
Insert(6, m_pRoot);
Insert(3, m_pRoot);
Insert(4, m_pRoot);
Insert(2, m_pRoot);
cout << “是否是完全二叉树：” << IsCompleteBTree(m_pRoot) << endl;
system(“pause”);
return 0;
}
