
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 15 3
96 98 95 100 20
Sample Output 1Yes
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 23 2
1001 869120 1001
Sample Output 2No
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 315 7
3 1 4 1 5 9 2 6 5 3 5 8 9 7 9
Sample Output 3Yes
Yes
No
Yes
Yes
No
Yes
Yes
