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 Python (3.4.3) (judge verdict: Wrong Answer)

#!/usr/bin/env python3
H, W, h, w = map(int, input().split())
a = [ [ 1 for _ in range(W) ] for _ in range(H) ]
for y in range(h - 1, H, h):
    for x in range(w - 1, W, w):
        a[y][x] = - h * w
valid = True
if sum(map(sum, a)) <= 0:
    valid = False
for y in range(H, H - h + 1):
    for x in range(W, W - w + 1):
        if sum(map(lambda row: sum(row[x : x + w]), f[y : y + h])) >= 0:
            valid = False
if not valid:
    print('No')
else:
    print('Yes')
    for y in range(H):
        print(*a[y])