02-线性结构4 Pop Sequence(25 分)

本文介绍了一种算法,用于验证给定序列是否为一个有限容量堆栈的有效弹出序列。通过使用堆栈和队列数据结构,算法检查一系列数字是否能从特定大小的堆栈中正确弹出。

02-线性结构4 Pop Sequence(25 分)

Given a stack which can keep MMM numbers at most. Push NNN numbers in the order of 1, 2, 3, …, NNN 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 MMM is 5 and NNN 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): MMM (the maximum capacity of the stack), NNN (the length of push sequence), and KKK (the number of pop sequences to be checked). Then KKK lines follow, each contains a pop sequence of NNN 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

#include <stdio.h>
#include <stdlib.h>
#define MAXN 1001


// 栈部分
typedef struct SqStack {
   
   
	int Data[MAXN];
	int Top;
}*Stack;

Stack initStack(void) {
   
   
	Stack S = (Stack)malloc(sizeof(struct SqStack));
	S->Top = 0;
	return S;
}

int getLength(Stack S) {
   
   
	return S->Top;
}

int 
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