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;
// #include <ext/pb_ds/assoc_container.hpp> 
// #include <ext/pb_ds/tree_policy.hpp> 
// using namespace __gnu_pbds;   
#define ll long long
#define ull unsigned long long
// #define ordered_set tree<pair<ll, ll>, null_type, less<pair<ll, ll>>, rb_tree_tag, tree_order_statistics_node_update> 
ll mod=1e9+7;
#define PI 3.1415926535897932385
#define inf 9e18
#define fastio ios_base::sync_with_stdio(false);cin.tie(NULL);
string char_to_str(char c){string tem(1,c);return tem;}
typedef pair<long long, long long> ii;
#define S second
#define F first
ll max(ll a,ll b){if(a>b){return a;}return b;}
ll min(ll a,ll b){if(a<b){return a;}return b;}
#define MAXN 200005
// Comment this out for interactice problem
// #define endl '\n'
// string to integer stoi() Remember: it takes string not character
// string to long long stoll()
// string.substr(position,length);
// integer to string to_string();
 
// To compile--> g++ -std=c++0x -o output one.cpp
// To run--> ./output

int main() 
{ 
    fastio;
    // freopen("input.txt","r",stdin);
    // freopen("output.txt","w",stdout);

    ll n,k;
    cin>>n>>k;
    ll a[n];
    for (int i = 0; i < n; ++i)
    {
        cin>>a[i];
    }

    for (int i = k; i < n; ++i)
    {
        if(a[i]>a[i-k]){
            cout<<"Yes"<<endl;
        }
        else{
            cout<<"No"<<endl;
        }
    }

}