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
#include<cstdio>
#include<stack>
using namespace std;
const int maxn = ;
int a[maxn];
stack<int> s;
int main(){
int m,n,k;
scanf("%d%d%d",&m,&n,&k);
while(k--){
while(!s.empty()){
s.pop();
}
for(int i = ; i <= n; i++){
scanf("%d",&a[i]);
}
int current = ;
bool flag = true;
for(int i = ; i <= n; i++){
s.push(i);
if(s.size() > m){
flag = false;
break;
}
while(!s.empty() && a[current] == s.top()){
s.pop();
current++;
}
}
if(s.empty() && flag == true) printf("YES\n");
else printf("NO\n");
}
return ;
}

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