1051. Pop Sequence (25)-PAT甲级真题(栈模拟)
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1051. Pop Sequence (25)
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.
Input Specification:
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.
Output Specification:
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
题目大意:有个容量限制为m的栈,分别把1,2,3,...,n入栈,给出一个系列出栈顺序,问这些出栈顺序是否可能.
分析:按照要求进行模拟。先把输入的序列接收进数组v。然后按顺序1~n把数字进栈,每进入一个数字,判断有没有超过最大范围,超过了就break。如果没超过,设current = 1,从数组的第一个数字开始,看看是否与栈顶元素相等,while相等就一直弹出栈,不相等就继续按顺序把数字压入栈~~~最后根据变量flag的bool值输出yes或者no~~~
#include <cstdio>#include <stack>#include <vector>using namespace std;int main() { int m, n, k; scanf("%d %d %d", &m, &n, &k); for(int i = 0; i < k; i++) { bool flag = false; stack<int> s; vector<int> v(n + 1); for(int j = 1; j <= n; j++) scanf("%d", &v[j]); int current = 1; for(int j = 1; j <= n; j++) { s.push(j); if(s.size() > m) break; while(!s.empty() && s.top() == v[current]) { s.pop(); current++; } } if(current == n + 1) flag = true; if(flag) printf("YES\n"); else printf("NO\n"); } return 0;}
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