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 JavaScript (Node.js 12.16.1) (judge verdict: Accepted)

// inputに入力データ全体が入る
function Main(input) {
	// 1行目がinput[0], 2行目がinput[1], …に入る
	input = input.split("\n");
	const row1 = input[0].split(" ");
	const row2 = input[1].split(" ");
	//文字列から10進数に変換するときはparseIntを使います
	var n = parseInt(row1[0], 10);
	var k = parseInt(row1[1], 10);
	var a = row2;

	var first, last;

	for (let i = k; i < n; i++) {
		first = parseInt(a[i - k]);
		last = parseInt(a[i]);
		if (first < last) {
			console.log('Yes');
		} else {
			console.log('No');
		}
	}
}

// 実行 ファイル名により本番かどうか判断
if (__filename.match("Main.js$")) {
	Main(require("fs").readFileSync("/dev/stdin", "utf8"));
} else {
//	Main("3\n4 5\nhello\n");
	Main(require("fs").readFileSync("q3.txt", "utf8"));
}