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.*;

public class Main {
	public static void main(String[] args) {

		Scanner keyboard = new Scanner(System.in);

		int N = keyboard.nextInt();
		int K = keyboard.nextInt();
		long[] AA = new long[N];
		
		for(int n=0; n<N; n++) {
		long A = keyboard.nextLong();
			if(n == 0) {
				AA[n] = A;
			}else {
				AA[n] = AA[n-1]*A; 
			}
		}
		
		String[] ans = new String[N];
		Arrays.fill(ans, "No");
		
		for(int n = K; n<N; n++) {
			if(n > K) {
				if(AA[n]/AA[n-K] > AA[n-1]/AA[n-1-K]) {
				ans[n] = "Yes";
				}
			}else{
				if(AA[n]/AA[n-K] > AA[n-1]) {
					ans[n] = "Yes";
				}
			}
		}
		for(int i = K; i<N; i++) {
			System.out.println(ans[i]);
		}
		keyboard.close();
	}
}