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 C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Linq;
using System.Numerics;
using System.Collections.Generic;
using static System.Math;
using Debug = System.Diagnostics.Debug;

class P
{
    static void Main()
    {
        var HWhw = Console.ReadLine().Split().Select(int.Parse).ToList();
        if (HWhw[0] % HWhw[2] == 0 && HWhw[1] % HWhw[3] == 0)
        {
            Console.WriteLine("No");
            return;
        }
        Console.WriteLine("Yes");
        Console.WriteLine(string.Join("\n", Enumerable.Repeat(0, HWhw[0]).Select((_, indh) => string.Join(" ", Enumerable.Repeat(0, HWhw[1]).Select((__, indw) => indh % HWhw[2] == 0 && indw % HWhw[3] == 0 ? 999999999 : (indh + 1) % HWhw[2] == 0 && (indw + 1) % HWhw[3] == 0 ? -1000000000 : 0)))));
    }
}