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: Accepted)

using System;
using System.IO;
using System.Linq;
using System.Collections.Generic;
using System.Text;
using System.Numerics;

namespace msol2020
{
    class Program
    {
        static void Main(string[] args)
        {
            Console.SetOut(new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false });
            if (File.Exists("input.txt"))
            {
                Console.SetIn(new StreamReader("input.txt"));
            }
            solve_msol2020C();
            Console.Out.Flush();
        }
        public static void solve_msol2020D()
        {
        }

        public static void solve_msol2020C()
        {
            int[] nk = Array.ConvertAll(Console.ReadLine().Split(), int.Parse);
            int[] a = Array.ConvertAll(Console.ReadLine().Split(), int.Parse);
            int n = nk[0];
            int k = nk[1];
            List<string> ans = new List<string>();
            for (int i = 0; i < n; i++)
            {
                if (i + 1 > k)
                {
                    if (a[i - k] <a[i])
                    {
                        ans.Add("Yes");
                    }
                    else
                    {
                        ans.Add("No");
                    }
                }
            }
            for (int i = 0; i < ans.Count; i++)
            {
                Console.WriteLine(ans[i]);
            }
        }

        public static void solve_msol2020B()
        {
            int[] abc = Array.ConvertAll(Console.ReadLine().Split(), int.Parse);
            int k = Convert.ToInt32(Console.ReadLine());
            int a = abc[0];
            int b = abc[1];
            int c = abc[2];
            while (k > 0 && b >= c)
            {
                c = c * 2;
                k--;
            }
            while (k > 0 && a >= b)
            {
                b = b * 2;
                k--;
            }
            while (k > 0 && b >= c)
            {
                c = c * 2;
                k--;
            }
            if (a < b && b < c)
            {
                Console.WriteLine("Yes");
            }
            else
            {
                Console.WriteLine("No");
            }

        }

        public static void solve_msol2020A()
        {
            int x = Convert.ToInt32(Console.ReadLine());
            int q = 8;
            for (int i = 400; i <= 1800; i += 200)
            {
                if (i <= x && i + 199 >= x)
                {
                    Console.WriteLine(q);
                    break;
                }
                q--;
            }

        }
    }
}