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')
    accAs = [0]
    if H%a:
        N, c = H, a
        k = -(-H // a)
    else:
        N, c = W, b
        k = -(-W // b)
    for i in range(k):
        accAs += [k-i]*(c-1) + [-i-1]
    As = []
    for i in range(N):
        As.append(accAs[i+1]-accAs[i])
    if H%a:
        for i in range(H):
            print(' '.join(map(str, [As[i]]*W)))
    else:
        for _ in range(H):
            print(*As)
else:
    print('No')