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 C++ (GCC 9.2.1) (judge verdict: Wrong Answer)

#include<iostream>
#include<string>
#include<vector>
using namespace std;
int main()
{
	long long n, k;
	cin >> n >> k;
	vector<long long>duck;
	vector<long long>fork;
	for (int i = 0; i < n; i++)
	{
		long long a;
		cin >> a;
		duck.push_back(a);
	}
	//for (int i = 0; i < n; i++)
	//{
	//	cout << duck[i] << " ";
	//}

	for (int i = 0; i + k <= n; i++)
	{
		long long score=1;
		int g = k;
		for (int j = i; g > 0; j++)
		{
			score *= duck[j];
			g -= 1;
			//cout << duck[j] << endl;
			//cout << "再" << endl;

		}
		 
		fork.push_back(score);
	}
	for (int i = 0; i+1< fork.size(); i++)
	{
		if (fork[i + 1] > fork[i])
			cout << "Yes"<<endl;
		else
			cout << "No"<<endl;
	}
	return 0;
}