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.
给你一个最多能存放M个数的栈。把N个数以1,2,3,。。。N的顺序放入栈,并随机弹出。你需要判断一个数字序列是否有可能是栈的弹出序列。比如说,如果M是5,N是7,我们能从栈得到序列1,2,3,4,5,6,7 而不是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.
第一行包含3个数字(每一个都不会大于1000):M N K(需要检测的弹出序列个数)。然后会有K行,每一行都是包含N个数字的弹出序列。数字之间用空格隔开
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.
对于每一个弹出序列,如果它确实是弹出序列则输出"YES",否则输出"NO"。
思路:模拟入栈,让1-N依次入栈,入栈过程中如果入栈元素恰好等于出栈序列中待出栈元素,就让栈顶元素出栈。同时把出栈元素指针后移一个。
#include<cstdio>
#include<stack>
using namespace std;
const int maxn=1010;
int arr[maxn];//保留题目给定的出栈序列
stack<int> st;//定义栈st,用以存放int型元素
int main(){
int m,n,T;
scanf("%d %d %d",&m,&n,&T);
while(T--){ //循环T次
//1.清空栈
while(!st.empty()){
st.pop();
}
//2.接收出栈序列
for(int i=1;i<=n;i++){
scanf("%d",&arr[i]);
}
int current = 1;//指向出栈序列中的待出栈元素
bool flag=true;
//3.模拟入栈出栈
for(int i=1;i<=n;i++){
st.push(i);//i入栈
if(st.size()>m){
flag=false;
break;
}
while(!st.empty()&&st.top()==arr[current]){
st.pop();
current++;
}
}
//4.输出
if(st.empty()==true&&flag==true){
printf("YES\n");
}else{
printf("NO\n");
}
}
return 0;
}