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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<bits/stdc++.h>
using namespace std;
int m,n,k;
int main(){
cin>>m>>n>>k;
for(int i=0;i<k;i++){
vector<int> v(n);
bool fg=true;
for(int j=0;j<n;j++)
cin>>v[j];
stack<int> s;
int ls=0;
for(int j=1;j<=n;j++){
s.push(j);
if(s.size()>m){
fg=false;
break;
}
while(!s.empty()&&s.top()==v[ls]){
s.pop();
ls++;
}
}
if(!s.empty())
fg=false;
printf("%s\n",fg?"YES":"NO" );
}
return 0;
}