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: Time Limit Exceeded)

import java.math.BigDecimal;
import java.util.Scanner;

public class Main {
	private static Scanner sc;
	
	public static void main(String[] args) {
		sc =  new Scanner(System.in);
		//N:学期の総数を表す
		int n = Integer.parseInt(sc.next());
		//K:学期目を表す
		int k = Integer.parseInt(sc.next());
		//各学期のテスト結果
		BigDecimal[] aArray = new BigDecimal[n];
		for (int i=0; i<n; i++) {
			aArray[i] = BigDecimal.valueOf(Integer.parseInt(sc.next()));
		}
		
		for(int i=k+1; i<=n; i++) {
			
			//K+i-1の計算
			BigDecimal beforeSum = new BigDecimal(1);
			for (int j=1; j<=k; j++) {
				beforeSum = beforeSum.multiply(aArray[i-j-1]);
			}
			
			//K+iの計算
			BigDecimal afterSum = new BigDecimal(1);
			for (int j=0; j<k; j++) {
				afterSum = afterSum.multiply(aArray[i-j-1]);
			}
			
			if(afterSum.compareTo(beforeSum) > 0) {
				System.out.println("Yes");
			} else {
				System.out.println("No");				
			}
			
		}
		
	}
}