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 Fortran (GNU Fortran 9.2.1) (judge verdict: Accepted)

      PROGRAM Marks
      IMPLICIT NONE
      INTEGER,PARAMETER :: p = 16
      integer(p) :: n,k, i
      integer(p),allocatable :: a(:),score(:)
      
      read*,n,k
      allocate( a(n),score(n) )
      read*,a
      
      do i = k+1,n
        if( a(i-k)<a(i) )then
          print*,'Yes'
        else
          print*,'No'
        end if
      end do
      
      
 !     score = 0
 !     score(k) = 1
 !     do i = 1,k
 !       score(k) = score(k)*a(i)
 !     end do
 !     do i = k+1,n
 !       score(i) = score(i-1)/a(i-k)*a(i)
 !     end do
      
 !     do i = k+1,n
 !       if( score(i)>score(i-1) )then
 !         print*,'Yes'
 !       else
 !         print*,'No'
 !       end if
 !     end do
      
      
      stop
      !debugg
      
      do i = k,n
        print*,score(i)
      end do
      
      END PROGRAM