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.

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.

Constraints

• 1 ≤ h ≤ H ≤ 500
• 1 ≤ w ≤ W ≤ 500

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

见题面 Input 部分

见题面 Output 部分