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判断出栈序列是否合法(c语言实现)

發布時間:2024/4/11 编程问答 33 豆豆
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題目

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

代碼

#include <stdio.h> #define maxn 1005 int stack[maxn]; int out[maxn]; int check(int m,int n) { int po=0,top=0; for(int i=1;i<=n;i++) { for(int j=po+1;j<=out[i];j++) { po=j; stack[top++]=j; if(top>m) return 0; } if(stack[--top]!=out[i]) return 0; } return 1; } int main() { int m,n,k; scanf("%d %d %d",&m,&n,&k);while(k--){for(int i=1;i<=n;i++){ scanf("%d",&out[i]); } if(check(m,n)) printf("YES\n"); else printf("NO\n"); }return 0; }

結果

總結

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