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: Accepted)

#include <bits/stdc++.h>
using namespace std;
#define ll long long int
#define F first
#define S second
#define endl "\n"
#define nl cout<<endl
#define pb push_back
#define f(i,a,b) for(ll i=a;i<b;i++)
#define Knucklehead ios_base::sync_with_stdio(false);cin.tie(NULL);
#define txti freopen("input.txt", "r", stdin);
#define txto freopen("output.txt", "w", stdout);
//#define mod 100000007

#define mat vector<vector<ll>>
mat cn(ll n, ll m){return vector< vector<ll> >(n, vector<ll>(m));}
bool compare(char &s1,char &s2){return s1 > s2;} 
bool sortmahstyle(const pair<ll,ll> &a,  const pair<ll,ll> &b) 
{ 
    if(a.second > b.second )
        return true;
    if( a.second==b.second && a.first > b.second )
       return true;
 
    return false;
 }
//me
ll const mod = 1e9+7;
ll const inf = 1e5+1;

vector<ll> nodes[inf];
ll vis[inf];



void solve()
{   
    ll n,k; cin >> n >> k;

    ll a[n]; f(i,0,n) cin >> a[i];

    f(i,k,n)
    {
    
        if(a[i]>a[i-k])
            cout << "Yes\n";
        else
            cout << "No\n";
        
    }
}
int main() {
Knucklehead 
/*
#ifndef ONLINE_JUDGE
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
/**/


        
        ll t;
        /**/t=1;
        /*/cin>>t;/**/
        while(t-->0){
            solve();
 
        }
 
 
 
 
    return 0;
}