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.Text;
using System.Collections.Generic;
using System.Linq;
class Solve{
    public Solve(){}
    StringBuilder sb;
    public static int Main(){
        new Solve().Run();
        return 0;
    }
    void Run(){
        sb = new StringBuilder();
        Calc();
        Console.Write(sb.ToString());
    }
    void Calc(){
        string[] str = Console.ReadLine().Split(' ');
        int H = int.Parse(str[0]);
        int W = int.Parse(str[1]);
        int h = int.Parse(str[2]);
        int w = int.Parse(str[3]);
        if(H % h == 0 && W % w == 0){
            sb.Append("No\n");
            return;
        }
        int[,] A = new int[H,W];
        if(H % h != 0){
            for(int i=0;i<H;i++){
                for(int j=0;j<W;j++){
                    A[i,j] = i % h == h - 1 ? - 1 - 10000*(h - 1) : 10000; 
                }
            }
        }
        else{
            for(int i=0;i<H;i++){
                for(int j=0;j<W;j++){
                    A[i,j] = j % w == w - 1 ? - 1 - 10000*(w - 1) : 10000; 
                }
            }
        }
        sb.Append("Yes\n");
        for(int i=0;i<H;i++){
            for(int j=0;j<W;j++){
                sb.Append(A[i,j]+" ");
            }
            sb.Append("\n");
        }
    }
}