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)

// "static void main" must be defined in a public class.
import java.util.* ;
public class Main {
    
    public static void main(String[] args) {
        Scanner S = new Scanner( System.in ) ;
        Main obj = new Main() ;
        int n = S.nextInt() ;
        long[] arr = new long[n] ;
        int terms = S.nextInt() ;
        for( int i=0;i<n;i++ ) arr[i] = S.nextLong() ;
        
        long pre = 0 ;
        boolean flag = true ;
        for( int i=0;i<=arr.length-terms;i++ ) {
            long sum = 1 ;
            for( int index=i,j=0;j<terms;j++,index++ ) {
                sum *= arr[index] ;
            }
            if( !flag ){
                if( pre<sum ) 
                    System.out.println( "Yes" ) ;
                else 
                    System.out.println( "No" ) ;
            }
            flag = false ;
            pre = sum ;
        }
    
     }
    
}