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: Wrong Answer)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using static System.Console;
namespace AtCoder.AGC016
{
    class Rectangle
    {
        public static void Main()
        {
            int height, width, h, w;
            Read(ReadLine().Trim(), out height, out width, out h, out w);
            if (height % h == 0 && width % w == 0) WriteLine("No");
            else {
                WriteLine("Yes");
                var def = 1;
                var plus = 1 + (height / h) * (width / w);
                var minus = - h * w - 2 * plus + 2;
                for (var y = 1; y <= height; ++y) {
                    for (var x = 1; x < width; ++x) {
                        if (x % w == 0 && y % h == 0) Write(minus);
                        else if ((x % w == 0 || y % h == 0) && (x % w == 1 || y % h == 1)) Write(plus);
                        else Write(def);
                        Write(' ');
                    }
                    if (width % w == 0 && y % h == 0) Write(minus);
                    else if ((width % w == 0 || y % h == 0) && (width % w == 1 || y % h == 1)) Write(plus);
                    else Write(def);
                    Write('\n');
                }
            }
        }
        static void Read(string str, out int height, out int width, out int h, out int w)
        {
            var s = str.Split(' ').Select(_ => int.Parse(_)).ToArray();
            height = s[0]; width = s[1]; h = s[2]; w = s[3];
        }
    }
}