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,h,w = [int(x) for x in input().split(' ')]
if W % w != 0:
    r = W % w
    n = int(W/w)
    n = n+1
    print('Yes')
    for i in range(H):
        for k in range(W):
            if (k+1) % w == 0:
                print(-n*(w-1) - 1, end = '')
            else:
                print(n, end = '')
            if k == W-1:
                print()
            else:
                print(end = ' ')
elif H % h != 0:
    r = H % h
    n = int(H/h)
    n = n + 1
    print('Yes')
    store = 0
    for i in range(H):
        if (i+1) % h == 0:
            store = -n*(h-1) - 1
        else:
            store = n
        for k in range(W):
            if k == W-1:
                print(store)
            else:
                print(store, end=' ')
else:
    print('No')