这道题是2013年PAT春季考试真题,考察队堆栈的基本概念的掌握。在保证输入正确后,关键在于对"Pop"序列的判断,我用isPopOrder()函数进行了判断,代码如下:
#include <stdio.h> #include <stdlib.h> #define MaxSize 1001 typedef struct SNode *Stack; struct SNode{ int Data[MaxSize]; int MaxCap; //Maximum capacity of this stack int Top; }; Stack CreateStack(int M) { Stack PtrS; PtrS = (Stack)malloc(sizeof(struct SNode)); PtrS->Top = -1; PtrS->MaxCap = M; return PtrS; } /*堆栈基本操作此处略去*/ int isPopOrder(int *CheckOrder, int M, int N, int K) { int i, ci = 0; Stack S; S = CreateStack(M); for(i = 1; i < N + 1; i++){ Push(i, S); //Push in the order of 1, 2, ..., N while(CheckOrder[ci] == GetTop(S)){ Pop(S); ci++; } } if(GetTop(S) == -1) //堆栈为空 return 1; else return 0; } int main(int argc, char const *argv[]) { int M, N, K; //M is the maximum capacity of the stack; Push N numbers; K sequences to be checked int i, j; int CheckOrder[MaxSize], res[MaxSize]; scanf("%d %d %d", &M, &N, &K); for(i = 0; i < K; i++){ for(j = 0; j < N; j++){ scanf("%d", &CheckOrder[j]); } res[i] = isPopOrder(CheckOrder, M, N, K); } for(i = 0; i < K; i++){ if(res[i]) printf("YES\n"); else printf("NO\n"); } return 0; }
isPopOrder()中,每步循环按顺序放一个数进入堆栈,每放一次就对要检查的CheckOrder[ci]这一数字进行判断,若它和此时栈顶元素相同,则使当前栈顶元素出栈,并继续判断是否仍和栈顶元素相同并使出栈,直到不同或空栈为止;不同就进入下一循环继续顺序入栈。最后看堆栈中是否还存在元素,如果还有的话说明要判断的序列不符合要求。