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 PHP (7.4.4) (judge verdict: Time Limit Exceeded)

<?php
    fscanf(STDIN,"%d%d",$N,$K);
    
    $A = array_map('intval',explode(" ",trim(fgets(STDIN))));
    array_unshift($A,0);
    for($j=1;$j<=$N-$K;$j++){
        // $sum_a = $A[$j+1] * $A[$j+2] * $A[$j];
        // $sum_b = $A[$j+1] * $A[$j+2] * $A[$j+3];
        $sum_a=0;
        $sum_b=0;
        for($n=0;$n<$K;$n++){
            $sum_a += $A[$j+$n];
            $sum_b += $A[$j+1+$n];
        }

        
        // echo $A[$j];
        // echo $A[$j+1];
        // echo $A[$j+2];
        // echo $A[$j+3];

        // echo " ";
        // echo $sum_a;
        // echo " ";
        // echo $sum_b;
        // echo " ";
        
        if($sum_a < $sum_b){
            echo "Yes\n";
        }else{
            echo "No\n";
        }
        
    }
?>