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 OCaml (4.10.0) (judge verdict: Wrong Answer)

let () =
  Scanf.scanf "%d %d\n" @@ fun n k ->
  let arr = Array.init n @@ fun _ -> Scanf.scanf "%d " @@ fun d -> d in
  let rec makeHyoka i k ans =
    if k = 0 then ans else makeHyoka (i-1) (k-1) (arr.(i)*ans) in
  let brr = Array.make (n-k+1) 0 in
  for i = k to n do
    if i = k then brr.(i-k) <- makeHyoka (i-1) k 1
    else brr.(i-k) <- brr.(i-k-1) * arr.(i-1) / arr.(i-k-1)
  done;
  let h::t = Array.to_list brr in
  let bfr = ref h in
  List.iter (fun x -> if !bfr < x then (bfr := x; print_endline "Yes")
              else (bfr := x; print_endline "No")) t