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# (.NET Core 3.1.201) (judge verdict: Wrong Answer)

using System;
using System.Collections.Generic;
using System.ComponentModel;
using System.Text;

class Program
{

	static void Main(string[] args)
	{
		string[] input = Console.ReadLine().Split(' ');
		int N = int.Parse(input[0]);
		int K = int.Parse(input[1]);

		string[] input_A = Console.ReadLine().Split(' ');

		var A = new int[N];

		for (int i = 0; i < N; i++){
			A[i] = int.Parse(input_A[i]);
		}

		long OldScore = 0;
		long CurrentScore = 0;

		// 初回
		for(int i = 0; i < K; i++)
        {
			if(OldScore == 0)
            {
				OldScore = A[K - i - 1];
            }
            else { 
				OldScore *= A[K - i - 1];
			}
		}

		for (int i = K; i < N; i++)
		{
			CurrentScore = 0;
			for (int j = 0; j < K; j++)
			{
				if (CurrentScore == 0)
				{
					CurrentScore = A[i - j];
				}
				else
				{
					CurrentScore *= A[i - j];
				}
				//Console.WriteLine("CS : " + CurrentScore);
			}

			if(OldScore < CurrentScore)
            {
				Console.WriteLine("Yes");
            }
            else
            {
				Console.WriteLine("No");
			}

			//Console.WriteLine("------------------------");
			//Console.WriteLine("Current : " + CurrentScore);
			//Console.WriteLine("OldScore : " + OldScore);

			//Console.WriteLine("========================");

			OldScore = CurrentScore;
		}
    }
}