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: Accepted)

#include<iostream>
#include<fstream>
#include<cstdio>
#include<algorithm>
#include<cmath>
#include<vector>
#include<deque>
#include<set>
#include<map>
#include<bitset>
#include<ctime>
#include<queue>
using namespace std;
#define int long long
#define pii pair <int, int>
#define XX first
#define YY second

// constants:
const int mn = 200005;
const int mod = 1000000007;
const long long inf = 4444444444444444444;
const int sminf = 1111111111;
const bool is_multitest = 0;
const bool is_interactive = 0;

// i/o methods:
const bool input_from_file = 0;
const bool output_to_file = 0;
#define filename ""
#define in_extension "inp"
#define out_extension "out"

// data preprocessing: (e.g.: divisor generating, prime sieve)
void preprocess()
{
    
}

// global variables:
int n;
int A[mn];
int k;
// main solution goes here:
void execute(int test_number)
{
    cin>>n>>k;
    for (int i=1; i<=n; i++) cin>>A[i];
    for (int i=k+1; i<=n; i++) {
        if (A[i] > A[i-k]) cout<<"Yes\n";
        else cout<<"No\n";
    }
}
// REMEMBER TO CHOOSE TEST METHODS
// PLEASE REMOVE cout AND cerr DEBUG LINES BEFORE SUBMITTING PROBLEMS
// Solution by low_



















signed main()
{
#ifdef lowie
    if (!is_interactive)
    {
        freopen("test.inp", "r", stdin);
        freopen("test.out", "w", stdout);
    }
#else
    if (input_from_file) freopen(filename"."in_extension, "r", stdin);
    if (output_to_file) freopen(filename"."out_extension, "w", stdout);
#endif
    if (!is_interactive)
    {
        ios_base::sync_with_stdio(0);
        cin.tie(0);
        cout.tie(0);
    }

    preprocess();
    int ntest;
    if (is_multitest) cin >> ntest;
    else ntest = 1;

    for (int testno = 1; testno <= ntest; testno++)
    // use for instead of while to serve facebook hacker cup test format
    {
        execute(testno); // only start coding in this function, not in main
    }
}
// Template by low_
// Contact me via mail: ttuandung1803@gmail.com
// ...or codeforces: www.codeforces.com/profiles/low_
// ...or if you're interested in food: www.instagram.com/lowie.exe/