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)]
use std::collections::*;
#[allow(unused_imports)]
use std::iter::FromIterator;

fn main() {
    let mut reader = acio::Reader::from_stdin();
    let n: usize = reader.read();
    let k: usize = reader.read();
    let a: Vec<usize> = reader.read_by(n);
    for i in k..n {
        if a[i - k] < a[i]  {
            println!("Yes");
        } else {
            println!("No");
        }
    }
}

//-- MODULES --

/// Mathematics Module
#[allow(dead_code)]
mod math {
    use std::mem::swap;

    /// Methods for Each Integer Type
    pub trait Integer {}
    /// Implements trait Integer
    macro_rules! integer {
        ($t:ty) => {
            impl Integer for $t {}
        };
    }

    /// Methods for Each Natural Integer Type
    pub trait Natural {
        fn lcm(v1: Self, v2: Self) -> Self;
        fn gcd(v1: Self, v2: Self) -> Self;
        fn fact(n: Self) -> Self;
        fn perm(n: Self, k: Self) -> Self;
        fn comb(n: Self, k: Self) -> Self;
    }
    /// Implements trait Natural
    macro_rules! natural {
        ($t:ty) => {
            impl Natural for $t {
                fn lcm(v1: $t, v2: $t) -> $t {
                    v1 * v2 / Self::gcd(v1, v2)
                }

                fn gcd(v1: $t, v2: $t) -> $t {
                    let (mut v1, mut v2) = (v1, v2);
                    if v1 < v2 {
                        swap(&mut v1, &mut v2);
                    }
                    while v2 != 0 {
                        let t = v1;
                        v1 = v2;
                        v2 = t % v2;
                    }
                    return v1;
                }

                fn fact(n: $t) -> $t {
                    let mut a = 1;
                    for i in 1..=n {
                        a *= i;
                    }
                    return a;
                }

                fn perm(n: $t, k: $t) -> $t {
                    Self::fact(n) / Self::fact(n - k)
                }

                fn comb(n: $t, k: $t) -> $t {
                    Self::perm(n, k) / Self::fact(k)
                }
            }
        };
    }

    // BEGIN DECLARATIONS
    integer!(i8);
    integer!(i16);
    integer!(i32);
    integer!(i64);
    integer!(isize);
    integer!(u8);
    integer!(u16);
    integer!(u32);
    integer!(u64);
    integer!(usize);
    // ---
    natural!(u8);
    natural!(u16);
    natural!(u32);
    natural!(u64);
    natural!(usize);
    // END DECLARATIONS
}

/// IO Module for AtCoder
#[allow(dead_code)]
mod acio {
    use std::fmt::Debug;
    use std::io::{stdin, BufRead, BufReader, Read, Stdin};
    use std::str::FromStr;

    /// Multi-Purpose Value Reader
    pub struct Reader<R>
    where
        R: Read,
    {
        input: BufReader<R>,
        stack: Vec<String>,
    }

    impl<R: Read> Reader<R> {
        /// Create Reader from Read
        pub fn new<T>(input: R) -> Self {
            // Self { // <- Warning: NOT YET on AtCoder
            Reader {
                input: BufReader::new(input),
                stack: vec![],
            }
        }

        /// Read Multiple Value
        pub fn read_by<F>(&mut self, count: usize) -> Vec<F>
        where
            F: FromStr,
            <F as FromStr>::Err: Debug,
        {
            (0..count).map(|_| self.read()).collect()
        }

        /// Read Single Value
        pub fn read<F>(&mut self) -> F
        where
            F: FromStr,
            <F as FromStr>::Err: Debug,
        {
            while self.stack.is_empty() {
                let mut line = self.read_line();
                self.stack.append(&mut line);
                self.stack.reverse();
            }
            self.stack.pop().unwrap().parse().unwrap()
        }

        /// Read Space Split Line
        fn read_line(&mut self) -> Vec<String> {
            let mut buf = String::new();
            self.input.read_line(&mut buf).unwrap();
            buf.split_whitespace().map(|s| s.to_string()).collect()
        }
    }

    impl Reader<Stdin> {
        /// Create Reader from stdin
        pub fn from_stdin() -> Self {
            Self::new::<Reader<Stdin>>(stdin())
        }
    }

    /*
    impl<T> Drop for Reader<T> {
        /// FOR DEBUG
        fn drop(&mut self) {
            if self.stack.len() != 0 {
                panic!("Reader with remaining value is dropped.")
            }
        }
    }
    */
}