1051 Pop Sequence (25分)
题目描述
Given a stack which can keep M numbers at most. Push N numbers in the order of 1, 2, 3, …, N and pop randomly. You are supposed to tell if a given sequence of numbers is a possible pop sequence of the stack. For example, if M is 5 and N is 7, we can obtain 1, 2, 3, 4, 5, 6, 7 from the stack, but not 3, 2, 1, 7, 5, 6, 4
输入格式
Each input file contains one test case. For each case, the first line contains 3 numbers (all no more than 1000): M (the maximum capacity of the stack), N (the length of push sequence), and K (the number of pop sequences to be checked). Then K lines follow, each contains a pop sequence of N numbers. All the numbers in a line are separated by a space.
输出格式
For each pop sequence, print in one line “YES” if it is indeed a possible pop sequence of the stack, or “NO” if not.
Sample Input:
5 7 5
1 2 3 4 5 6 7
3 2 1 7 5 6 4
7 6 5 4 3 2 1
5 6 4 3 7 2 1
1 7 6 5 4 3 2
Sample Output:
YES
NO
NO
YES
NO
总结
- 题目大概意思是,给出栈最大容量和需要入栈的数字,让你判断给定的出栈序列是否合法。
- 首先设置一个数组,来存储一行的出栈序列。设当前待入栈的元素为num,栈顶元素位data[i],用一个while循环直到num == data[i]时跳出,然后再判断这个栈是否超出了最大容量m,循环执行。
AC代码
#include <iostream>
#include<stack>
using namespace std;
int main()
{
int m, n, k, num, data[1005];
stack<int> s;
scanf("%d%d%d", &m, &n, &k);
getchar();
while (k--) {
bool flag = true;
while (!s.empty()) s.pop();
num = 1; //当前入栈元素
for (int i = 0; i < n; i++) {
scanf("%d", &data[i]);
}
for (int i = 0; i < n; i++) {
if (s.empty() && num <= n) {
s.push(num++); //入栈元素序号+1
}
while (s.top() != data[i] && num <= n) {
s.push(num++);
}
if (s.size() > m || s.top() != data[i]) { //出栈序列不合法也会导致 s.top() != data[i]
flag = false;
break;
}
s.pop();
}
if (flag) printf("YES\n");
else printf("NO\n");
}
return 0;
}