/*=====================================================================================
# COPYRIGHT NOTICE
# Copyright (c) 2016
#
# @Author :Zehao Wang
# @Email :zehaowang@163.com
# @from :https://pta.patest.cn/pta/test/1342/exam/4/question/20491
# @Last modified :2016-12-01
# @Description :判断两个序列是否是同一颗二叉搜索树
========================================================================================*/
#include <stdio.h>
#include<stdlib.h>
#define MAX 20
typedef struct TreeNode *BinTree;
struct TreeNode {
int data;
BinTree left;
BinTree right;
};
typedef struct QNode *Queue;
struct QNode {
BinTree data[MAX];//该队列中存储的是树节点的指针(此处不能int data[MAX],因为这样的话,层序遍历时无法追溯到父节点)
int front;
int rear;
};
void Push(Queue q, BinTree BT) { //入队(出队)都要先将rear(front)加1,再将数据放入(移出)数组。即队列的正常状态永远
if ((q->rear + 1) % MAX == q->front) //都是rear指向最新一个元素,front指向最开始的元素前面的那个下标。故初始化时,rear=front=-1
{
printf("队列满");
return;
}
else
{
q->rear=(q->rear+1)%MAX;
q->data[q->rear] = BT;
return;
}
}
BinTree Pop(Queue q){
if(q->rear==q->front)
{
printf("队列空");
return NULL;
}
else
{
q->front = (q->front + 1) % MAX;
return q->data[q->front];
}
}
BinTree Insert(BinTree BT, int ele)//在二叉搜索树中递归插入元素
{
if (BT->data<0)
{
BT->data = ele;
BT->left = (BinTree)malloc(sizeof(struct TreeNode));
BT->right = (BinTree)malloc(sizeof(struct TreeNode));
}
else
{
if (BT->data > ele)
BT->left = Insert(BT->left, ele);
else
BT->right = Insert(BT->right, ele);
}
return BT;
}
void traversal(BinTree BT,int arr[])//层序遍历一棵二叉树
{
int i=0;
Queue q;
BinTree BT1;
q = (Queue)malloc(sizeof(struct QNode));
q->front = q->rear = -1;
Push(q, BT);
while(q->front!=q->rear)
{
BT1 = Pop(q);
arr[i] = BT1->data;
i++;
if (BT1->left != NULL)
{
if(BT1->left->data>0)
Push(q, BT1->left);
}
if (BT1->right != NULL)
{
if (BT1->right->data>0)
Push(q, BT1->right);
}
}
return;
}
int arr_size(int arr[])//计算一个数组中有几个数字
{
for (int i = 0; i < MAX; i++)
if (arr[i] == -1)
return i;
}
int compare(int arr1[], int arr2[])//比较两个数组是否完全相同
{
int i = 0;
while (i != arr_size(arr1))
{
if (arr1[i] == arr2[i])
i++;
else
return 0;
}
return 1;
}
int main(void)
{
int N, L;
int i;
int ele;
int arr[MAX], arr1[MAX];
BinTree BT;
Queue q;
BT = (BinTree)malloc(sizeof(struct TreeNode));
q = (Queue)malloc(sizeof(struct QNode));
q->rear =q->front = -1;
for (i = 0; i < MAX; i++)
{
arr[i] = arr1[i] = -1;//数组初始化
}
scanf("%d %d", &N, &L);
if (N != 0 && L != 0)
{
for (i = 0; i < N; i++)
{
scanf("%d", &ele);
BT = Insert(BT, ele);
}
traversal(BT, arr);
for (i = 0; i < L; i++)
{
BT = (BinTree)malloc(sizeof(struct TreeNode));
for (int k = 0; k < N; k++)
{
scanf("%d", &ele);
BT = Insert(BT, ele);
}
traversal(BT, arr1);
if (compare(arr, arr1))
printf("YES\n");
else
printf("NO\n");
}
}
else
{
return 0;
}
}
/*========================================================================================
注:
1.这道题的思路是,将所输入的数列依次插入二叉树内,然后再层序遍历进行输出,比较两个输出
数列是否相同,若相同则两树相同,反之则两树不同。但是,这道题所用到的层序遍历方法和
http://blog.youkuaiyun.com/the__apollo/article/details/53383757 这道作业题中层序遍历所用方法不同
,不同之处主要在于,该题所用队列结构中饱含一个放有树节点指针的数组,也可以理解为树节点指针
的指针。(第26行)这是因为如果使用上一道题的层序遍历方法的话,将无法有效的追溯到父节点。所
以,本题所用层序遍历方法更具有普适性。http://blog.youkuaiyun.com/sddxqlrjxr/article/details/51085815
2.分配内存时,BT->left=BT->right=malloc....这种方法不对!因为会使得左右节点成为同一个内存。
3.这道题没有调整成题目所要求的输出格式(好吧是我不太会),也懒得调整了,达成输出目的即可。
4.其实这种方法挺笨的,应该还有更好的方法。欢迎大家批评指正。
========================================================================================*/