1051. Pop Sequence

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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 51 2 3 4 5 6 73 2 1 7 5 6 47 6 5 4 3 2 15 6 4 3 7 2 11 7 6 5 4 3 2
Sample Output:
YES
NO
NO
YES

NO


#include <cstdio>
#include <cstdlib>
#include <iostream>
#include <deque>
#include <queue>
#include <cstring>
#include <vector>
#include <string>
#include <iomanip>
#include <cmath>
#include <stack>
#include <algorithm>
using namespace std;
#define max1 10001
#define inf 6000
int M,N,K;
int main()
{
    cin>>M>>N>>K;
    int num;
    for(int i=0;i<K;i++)
    {
        bool flag=true;
        stack<int>s;
        int cur=1;
        for(int j=0;j<N;j++)
        {
            cin>>num;
            while(s.empty()||s.top()<num)
            {
                s.push(cur);
                if(s.size()>M)
                {
                    flag=false;
                    break;
                }
                cur++;
            }
            if(flag&&s.top()==num&&s.size()>=1)
                s.pop();
            else
                flag=false;
        }
        if(flag)
            cout<<"YES"<<endl;
        else
            cout<<"NO"<<endl;
    }
    return 0;
}

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