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 <bits/stdc++.h>
using namespace std;
void Main();

using i8  = int8_t;   /* -128 ~ 127 */
using u8  = uint8_t;  /* 0 ~ 255 */
using i16 = int16_t;  /* -32,768 ~ 32,767 */
using u16 = uint16_t; /* 0 ~ 65,535 */
using i32 = int32_t;  /* -2,147,483,648 ~ 2,147,483,647 */
using u32 = uint32_t; /* 0 ~ 4,294,967,295 */
using i64 = int64_t;  /* -9,223,372,036,854,775,808 ~ 9,223,372,036,854,775,807 */
using u64 = uint64_t; /* 0 ~ 18,446,744,073,709,551,615 */
using f32 = float;    /* (-3.4 * 10^38) ~ (3.4 * 10^38) */
using f64 = double;   /* (-1.7 * 10^308) ~ (1.7 * 10^308) */
using f80 = __float80;
template <class T> using Vec = vector<T>;
constexpr i64 INF = 1010000000000000017;
constexpr i64 MOD = 1e9 + 7;
constexpr f64 EPS = 1e-12;
constexpr f64 PI = 3.14159265358979323846;
#define ALL(v) v.begin(), v.end()
#define YN(a, b, c) ((c)? a : b)
#define GCD(a, b) __gcd(a, b) /* 最大公約数 */
#define LCM(a, b) a / __gcd(a, b) * b /* 最小公倍数 */

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cout << fixed << setprecision(15);
    Main();
    return 0;
}

void Main() {
    i32 N, K;
    cin >> N >> K;
    Vec<i64> A(N);
    for (i32 i = 0; i < K; i++) {
        cin >> A[i];
    }
    for (i32 i = K; i < N; i++) {
        cin >> A[i];
        cout << YN("Yes", "No", A[i] > A[i - K]) << endl;
    }

}