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 Rust (1.42.0) (judge verdict: Accepted)

#![allow(unused_imports, dead_code, unused_variables, unused_mut)]
use std::cmp;
use std::collections::{BTreeMap, BTreeSet, BinaryHeap, HashMap, HashSet, VecDeque};
use std::mem::swap;
use permutohedron::LexicalPermutation;
const INF: i32 = std::i32::MAX;
const MOD: i32 = 1e9 as i32 + 7;

struct Get<R: std::io::BufRead> {
    stdin: R,
    v: Vec<String>,
    i: usize,
}
impl<R: std::io::BufRead> Get<R> {
    pub fn new(stdin: R) -> Self {
        Get {
            stdin: stdin,
            v: Vec::new(),
            i: 0,
        }
    }
    fn split_line(&mut self) {
        self.i = 0;
        self.v.clear();
        let mut buf = String::new();
        self.stdin.read_line(&mut buf).unwrap();
        let buf = buf.trim().to_owned();
        let mut ws = buf.split_whitespace();
        loop {
            let x = ws.next();
            if x.is_none() {
                break;
            }
            let x = x.unwrap().to_owned();
            self.v.push(x);
        }
    }
    #[allow(dead_code)]
    pub fn once<T: std::str::FromStr>(&mut self) -> T {
        if self.i == self.v.len() {
            self.split_line();
        }
        let elem = &self.v[self.i];
        self.i += 1;
        elem.parse().unwrap_or_else(|_| panic!())
    }
    #[allow(dead_code)]
    pub fn line<T: std::str::FromStr>(&mut self) -> String {
        self.i = 0;
        self.v.clear();
        let mut buf = String::new();
        self.stdin.read_line(&mut buf).unwrap();
        let buf = buf.trim().to_owned();
        buf
    }
}

fn main() {
    let stdin = std::io::stdin();
    let stdin = std::io::BufReader::new(stdin.lock());
    let get = Get::new(stdin);
    solve(get);
}

fn solve<R: std::io::BufRead>(mut get: Get<R>) {
    let n: usize = get.once();
    let k: i32 = get.once();
    let mut a: Vec<i64> = Vec::new();
    for i in 0..n {
        a.push(get.once());
    }

    for i in 0..n-(k as usize) {
        if a[i] < a[i+k as usize] {
            println!("Yes");
        } else {
            println!("No");
        }
    }
}