Problem: 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.

Examples

Input

3 3 2 2


Output

Yes
1 1 1
1 -4 1
1 1 1


Input

2 4 1 2


Output

No


Input

3 4 2 3


Output

Yes
2 -5 8 7
3 -5 -4 -5
2 1 -1 7

Solution (in PYTHON3):

Solution:
H, W, a, b = map(int, input().split())

if H%a or W%b:
    print('Yes')
    k = (H//a) * (W//b)
    x = k+2
    ansss = [[0]*(W) for _ in range(H)]
    for i in range(H//a):
        for j in range(W//b):
            ansss[(i+1)*a-1][(j+1)*b-1] = -x
    for i in range(-(-H//a)):
        for j in range(-(-W//b)):
            ansss[i*a][j*b] = x-1
    print('\n'.join([' '.join(map(str, anss)) for anss in ansss]))
else:
    print('No')