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: Wrong Answer)

import java.util.Scanner;

public class Main {
    public static void main(String[] args) {
        new Main().run();
    }
    long[] A;
    long[] integ;
    private void run() {
        Scanner scanner = new Scanner(System.in);
        int N = scanner.nextInt();
        int K = scanner.nextInt();
        A = new long[N];
        integ = new long[N];
        for(int i = 0; i < N; i++) {
            A[i] = scanner.nextLong();
        }

        int f = 1;
        long tmp1 = dp(0, K);
        for(int i = K - 1; i < N-1; i++) {
            long tmp2 = dp(f, K+f);
            f++;
            if(tmp1 < tmp2){
                System.out.println("Yes");
            }else{
                System.out.println("No");
            }
            tmp1 = tmp2;
        }
    }

    private long dp(int i, int k) {
        if(i > 0 && integ[i-1] != 0){
            long tmp = integ[i-1] / A[i-1] * A[k-1];
            integ[i] = tmp;
            return tmp;
        }

        long ret = 1;
        for(int j = i; j < k; j++) {
            ret *= A[j];
            if(ret == 0) break;
        }
        integ[i] = ret;
        return ret;

    }
}