Problem:
Score: 300 points

Problem Statement

M-kun is a student in Aoki High School, where a year is divided into N terms.

There is an exam at the end of each term. According to the scores in those exams, a student is given a grade for each term, as follows:

For the first through (K-1)-th terms: not given.

For each of the K-th through N-th terms: the multiplication of the scores in the last K exams, including the exam in the graded term.

M-kun scored A_i in the exam at the end of the i-th term.

For each i such that K+1 \leq i \leq N, determine whether his grade for the i-th term is strictly greater than the grade for the (i-1)-th term.

Constraints

2 \leq N \leq 200000

1 \leq K \leq N-1

1 \leq A_i \leq 10^{9}

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N K
A_1 A_2 A_3 \ldots A_N

Output

Print the answer in N-K lines.

The i-th line should contain Yes if the grade for the (K+i)-th term is greater than the grade for the (K+i-1)-th term, and No otherwise.

Sample Input 1

5 3
96 98 95 100 20

Sample Output 1

Yes
No

His grade for each term is computed as follows:

3-rd term: (96 \times 98 \times 95) = 893760

4-th term: (98 \times 95 \times 100) = 931000

5-th term: (95 \times 100 \times 20) = 190000

Sample Input 2

3 2
1001 869120 1001

Sample Output 2

No

Note that the output should be No if the grade for the 3-rd term is equal to the grade for the 2-nd term.

Sample Input 3

15 7
3 1 4 1 5 9 2 6 5 3 5 8 9 7 9

Sample Output 3

Yes
Yes
No
Yes
Yes
No
Yes
Yes

Solution in C++ (GCC 9.2.1) (judge verdict: Runtime Error)

#include<bits/stdc++.h>
using namespace std;
bool cmp(long long int x,long long int y)
{
   return x>y;
}
int main(void)
{
   long long int t,n,m,k,x,y,a[100001];
   vector<long long int> v,v1,v2;
   vector< pair <long long int,long long int> >p,p1,p2;
   set<long long int> st;
   priority_queue<long long int> pq;
   priority_queue< long long int,vector<long long int>,greater<long long int> > lpq;
   priority_queue< pair<long long int,long long int>,vector< pair<long long int,long long int> >,greater< pair <long long int,long long int> > > plpq;
   string s;
      cin>>n>>k;
      for(long long int i=0;i<n;i++)
      {
         cin>>a[i];
      }
      for(long long int i=k;i<n;i++)
      {
         if(a[i]>a[i-k])
            cout<<"Yes"<<endl;
         else
            cout<<"No"<<endl;
      }
   return 0;
}