题目描述
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.
Examples
Input
5 3
96 98 95 100 20
Output
Yes
No
Input
3 2
1001 869120 1001
Output
No
Input
15 7
3 1 4 1 5 9 2 6 5 3 5 8 9 7 9
Output
Yes
Yes
No
Yes
Yes
No
Yes
Yes
输入格式
见题面
输出格式
见题面