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 Java (OpenJDK 11.0.6) (judge verdict: Runtime Error)

import java.util.*;
import java.io.*;
 
public class Main{
	public static void main(String[] args){
      	Scanner sc = new Scanner(System.in);
    	int n = Integer.parseInt(sc.next());
      	int k = Integer.parseInt(sc.next());
      	int[] list = new int[n];
      	int[] flag = new int[n - k];
      	for(int cnt = 0;cnt < n;cnt++){
        	list[cnt] = Integer.parseInt(sc.next());
        }
      	long first = list[0];
      	long save = list[1];
      	for(int cnt = 1;cnt < k;cnt++){
        	first += list[cnt];
        }
      	int cnt = 2;
      	int f = 2;
      	int num = n - k;
      	PrintWriter out = new PrintWriter(System.out);
      	for(int i = 0;i < num;i++){
        	for(int j = 1;j < k;j++){
            	save += list[cnt++];
            }
          	if(first < save){
            	out.println("Yes");
            }else{
            	out.println("No");
            }
          	first = save;
          	save = list[f++];
          	cnt = f;
        }
      	out.flush();
    }
}