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 PHP7 (7.0.15) (judge verdict: Wrong Answer)

<?php

    $data = explode(" ", trim(fgets(STDIN)));
    $H = $data[0];
    $W = $data[1];
    $h = $data[2];
    $w = $data[3];
    $ans = true;
    if($W%$w==0 || $H%$h==0) $ans = false;
    
    $x = floor(10*($W*$H)/($w*$h));
    $y = (1-$w*$h)*$x-1;
    for($i=1; $i<=$H; $i++){
        $z[$i] = array_fill(0, $W+1, 0);
        for($j=1; $j<=$W; $j++){
            $z[$i][$j] = $x;
            if($i%$h==0 && $j%$w==0) $z[$i][$j] = $y;
        }
    }
    
    if($ans){
        echo "Yes\n";
        for($i=1; $i<=$H; $i++){
            for($j=1; $j<=$W; $j++){
                echo $z[$i][$j]." ";
            }
            echo "\n";
        }
    }
    else echo "No";
    
?>