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 Scanner scan  = new Scanner(System.in);
    public static void main(String[]args){
        long n = nextLong();
        long k = nextLong();
        long[] arr = new long[(int)n];
        long tmp0 = 1;
        long tmp1 = 1;

        for(int i=0;i<(int)n;i++){
            arr[i] = nextLong();
        }

        for(int i=0;i<k;i++){
            tmp0 *= arr[(int)k-i-1];
        }
        //print(tmp0);

        for(int i=(int)k;i<n;i++){
            for(int j=0;j<(int)k;j++){
                //print(arr[i-j] + "arr[i-j");
                tmp1 *= arr[i-j];
            }
            if(tmp1>tmp0){
                print("Yes");
            }
            else print("No");
            //print("tmp0=" + tmp0);
            //print("tmp1=" + tmp1);
            tmp0 = tmp1;
            tmp1=1;
        }
    }


    public static int nextInt(){
        return Integer.parseInt(scan.next());
    }
    public static long nextLong(){
        return Long.parseLong(scan.next());
    }
    public static String next(){
        return scan.next();
    }
    public static double nextDouble(){
        return Double.parseDouble(scan.next());
    }
    public static float nextFloat(){
        return Float.parseFloat(scan.next());
    }

    //Yes or No
    public static void yesNo(boolean flag){
        if(flag) System.out.println("Yes");
        else System.out.println("No");
    }

    //print
    public static void print(Object a){
        System.out.println(a);
    }


    //gcd
    public static int gcd (int a, int b){
        int tmp;
        while((tmp = a%b) != 0){
            a = b;
            b = tmp;
        }
        return b;
    }


    //lcm
    public static int lcm(int a,int b){
        int tmp;
        long c = a;
        c *= b;
        while((tmp = a%b) != 0){
            a = b;
            b = tmp;
        }
        return (int)(c/b);
    }
}