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 Ruby (2.7.1) (judge verdict: Wrong Answer)

nk = gets
nk = nk.split(' ')
n = nk[0].to_i
k = nk[1].to_i

aa = gets
aa = aa.split(' ')
a = aa.map{|i| i.to_i}

def point(i, k, a)
    return 0 if i < k

    total = 1
    k.times do |j|
        total *= a[i-j]
    end

    return total
end

p0=1
(n-k).times do |c|
    # p0 = point(k+c-1,k,a)

    # p1=p0
    # if a[c] > 0
    #     p1 = p1 * a[k+c] / a[c]
    # else
    #     p1 = point(k+c,k,a)
    # end
    if c == 0
        puts('Yes')
        next
    end

    b = a.drop(c).take(k+1)
    # puts(c)
    # puts(c+k+1)
    # print(b)
    # puts
    if b[-1] > b[0]
        puts('Yes') 
    else
        puts('No')
    end
end