Problem:
Score : 700 points

Problem Statement

You are given four integers: H, W, h and w (1 ≤ h ≤ H, 1 ≤ w ≤ W).
Determine whether there exists a matrix such that all of the following conditions are held, and construct one such matrix if the answer is positive:

The matrix has H rows and W columns.

Each element of the matrix is an integer between -10^9 and 10^9 (inclusive).

The sum of all the elements of the matrix is positive.

The sum of all the elements within every subrectangle with h rows and w columns in the matrix is negative.

Constraints

1 ≤ h ≤ H ≤ 500

1 ≤ w ≤ W ≤ 500

Input

Input is given from Standard Input in the following format:

H W h w

Output

If there does not exist a matrix that satisfies all of the conditions, print No.

Otherwise, print Yes in the first line, and print a matrix in the subsequent lines in the following format:

a_{11} ... a_{1W}
:
a_{H1} ... a_{HW}

Here, a_{ij} represents the (i,\ j) element of the matrix.

Sample Input 1

3 3 2 2

Sample Output 1

Yes
1 1 1
1 -4 1
1 1 1

The sum of all the elements of this matrix is 4, which is positive.
Also, in this matrix, there are four subrectangles with 2 rows and 2 columns as shown below. For each of them, the sum of all the elements inside is -1, which is negative.

Sample Input 2

2 4 1 2

Sample Output 2

No

Sample Input 3

3 4 2 3

Sample Output 3

Yes
2 -5 8 7
3 -5 -4 -5
2 1 -1 7

Solution in Rust (1.15.1) (judge verdict: Accepted)

use std::io;
use std::io::BufRead;

fn main() {
    let mut sc = Scanner::new(std::io::stdin());
    let H: usize = sc.next().unwrap();
    let W: usize = sc.next().unwrap();
    let h: usize = sc.next().unwrap();
    let w: usize = sc.next().unwrap();
    let res = f(H, W, h, w);
    if let Some(res) = res {
        println!("Yes");
        for i in 0..H {
            for j in 0..W {
                if j > 0 {
                    print!(" ");
                }
                print!("{}", res[i][j]);
            }
            println!();
        }
        return;
    }
    let res = f(W, H, w, h);
    if let Some(res) = res {
        println!("Yes");
        for i in 0..H {
            for j in 0..W {
                if j > 0 {
                    print!(" ");
                }
                print!("{}", res[j][i]);
            }
            println!();
        }
        return;
    }
    println!("No");
}

const B: i32 = 100000;

fn f(H: usize, W: usize, h: usize, w: usize) -> Option<Vec<Vec<i32>>> {
    if H % h == 0 {
        return None;
    }
    let d = H % h;
    let mut res = vec![];
    for i in 0..H {
        if i % h == d {
            res.push(vec![-B * (h as i32- 1) - 1; W]);
        } else {
            res.push(vec![B; W]);
        }
    }
    Some(res)
}

/// Scanner
///
/// # Example
/// ```
/// use contest::io::scanner;
/// let mut sc = scanner::Scanner::new("1 2 \n\n \r\t \n 3.5".as_bytes());
/// assert_eq!("1".to_string(), sc.next::<String>().unwrap());
/// assert_eq!(2, sc.next().unwrap());
/// assert_eq!(3.5, sc.next().unwrap());
/// assert_eq!(None, sc.next::<i32>());
/// ```

pub struct Scanner<R: io::Read> {
    br: io::BufReader<R>,
    // Read tokens are stored in reversed order per line.
    buf: Vec<String>,
}

impl<R: io::Read> Scanner<R> {
    pub fn new(r: R) -> Scanner<R> {
        Scanner {
            br: io::BufReader::new(r),
            buf: vec![],
        }
    }
    #[inline]
    pub fn next<T>(&mut self) -> Option<T>
        where T: std::str::FromStr,
              T::Err: std::fmt::Debug
    {
        self.next_string().map(|s| s.parse::<T>().expect("Parse failed: "))
    }
    fn next_string(&mut self) -> Option<String> {
        self.buf.pop().or_else(|| match self.update() {
            true => self.next_string(),
            false => None,
        })
    }
    #[inline]
    fn update(&mut self) -> bool {
        let mut s = String::new();
        let res = self.br.read_line(&mut s);
        match res.expect("I/O error.") {
            0 => false,
            _ => {
                self.buf = s.split_whitespace().map(|x| x.to_string()).rev().collect();
                true
            }
        }
    }
}