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.Linq;
using System.ComponentModel;
using System.Collections.Generic;

namespace ConsoleApp1 {
    public class Class {
        static void Main(string[] args) {
            var (N, K) = ReadValue<long, int>();
            var A = longArray;
            long sum = A.Take(K).Aggregate((now, next) => now * next);
            for (var i = 0; i < N - K; i++) {
                //var tmp = (long)((float)(sum / A[i]) * A[K + 1]);
                var tmp = (long)((sum * A[K + i]) / A[i]);
                if (sum < tmp) {
                    Console.WriteLine("Yes");
                } else {
                    Console.WriteLine("No");
                }
                sum = tmp;
                //Console.WriteLine(tmp);
            }
        }

        static T1 ReadValue<T1>() {
            var t1 = TypeDescriptor.GetConverter(typeof(T1));
            return (T1)t1.ConvertFromString(Console.ReadLine());
        }

        static (T1, T2) ReadValue<T1, T2>() {
            var rl = Console.ReadLine().Trim().Split().ToArray();
            var t1 = TypeDescriptor.GetConverter(typeof(T1));
            var t2 = TypeDescriptor.GetConverter(typeof(T2));
            return ((T1)t1.ConvertFromString(rl[0]),
                    (T2)t2.ConvertFromString(rl[1]));
        }

        static (T1, T2, T3) ReadValue<T1, T2, T3>() {
            var rl = Console.ReadLine().Trim().Split().ToArray();
            var t1 = TypeDescriptor.GetConverter(typeof(T1));
            var t2 = TypeDescriptor.GetConverter(typeof(T2));
            var t3 = TypeDescriptor.GetConverter(typeof(T3));
            return ((T1)t1.ConvertFromString(rl[0]),
                    (T2)t2.ConvertFromString(rl[1]),
                    (T3)t3.ConvertFromString(rl[2]));
        }

        static (T1, T2, T3, T4) ReadValue<T1, T2, T3, T4>() {
            var rl = Console.ReadLine().Trim().Split().ToArray();
            var t1 = TypeDescriptor.GetConverter(typeof(T1));
            var t2 = TypeDescriptor.GetConverter(typeof(T2));
            var t3 = TypeDescriptor.GetConverter(typeof(T3));
            var t4 = TypeDescriptor.GetConverter(typeof(T4));
            return ((T1)t1.ConvertFromString(rl[0]),
                    (T2)t2.ConvertFromString(rl[1]),
                    (T3)t3.ConvertFromString(rl[2]),
                    (T4)t4.ConvertFromString(rl[3]));
        }

        static (T1, T2, T3, T4, T5) ReadValue<T1, T2, T3, T4, T5>() {
            var rl = Console.ReadLine().Trim().Split().ToArray();
            var t1 = TypeDescriptor.GetConverter(typeof(T1));
            var t2 = TypeDescriptor.GetConverter(typeof(T2));
            var t3 = TypeDescriptor.GetConverter(typeof(T3));
            var t4 = TypeDescriptor.GetConverter(typeof(T4));
            var t5 = TypeDescriptor.GetConverter(typeof(T5));
            return ((T1)t1.ConvertFromString(rl[0]),
                    (T2)t2.ConvertFromString(rl[1]),
                    (T3)t3.ConvertFromString(rl[2]),
                    (T4)t4.ConvertFromString(rl[3]),
                    (T5)t5.ConvertFromString(rl[4]));
        }

        static string[] stringArray => Console.ReadLine().Split().ToArray();
        static int[] intArray => Console.ReadLine().Trim().Split().Select(int.Parse).ToArray();
        static long[] longArray => Console.ReadLine().Trim().Split().Select(long.Parse).ToArray();
        static double[] doubleArray => Console.ReadLine().Trim().Split().Select(double.Parse).ToArray();
        static decimal[] decimalArray => Console.ReadLine().Trim().Split().Select(decimal.Parse).ToArray();
    }
}