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:
import sys
def MI(): return map(int,sys.stdin.readline().rstrip().split())


H,W,h,w = MI()
q1,r1 = H//h,H % h
q2,r2 = W//w,W % w

if r1 == 0 and r2 == 0:
    print('No')
else:
    print('Yes')
    if r2 != 0:
        A = []
        for _ in range(q2):
            A += [2*10**6]*(w-1)+[-(2*10**6)*(w-1)-1]
        A += [2*10**6]*r2
        for _ in range(H):
            print(*A)
    else:
        for i in range(1,H+1):
            if i % h != 0:
                print(*([2*10**6]*W))
            else:
                print(*([-(2*10**6)*(h-1)-1]*W))