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 = map(int,input().split())

if(H%h==0)&(W%w==0):
    print('No')
    exit()

print('Yes')

if(W%w!=0):
    base = [1000] * (w-1) + [-1000 * (w-1) -1]
    col = []
    for i in range(1 + W//w):
        col = col + base
    col = col[:W]
    for i in range(H):
        print(' '.join(map(str,col)))

else:
    base = [1000] * (h-1) + [-1000 * (h-1) -1]
    row = []
    for i in range(1 + H//h):
        row = row + base
    row = row[:H]
    for i in row:
        col = [i] * W
        print(' '.join(map(str,col)))