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, hh, ww = [int(i) for i in input().split()]
area = [h*w, hh*ww]
m = (h//hh) * (w // ww)
a_inv = (area[0] / m - area[1])
if(a_inv <= 0):
    print("No")
else:
    print("Yes")
    a = a_inv ** -1
    if(int(a) < a):
        a = int(a) + 1
    else:
        a = int(a)
    b = (area[1] - 1) * a + 1
    while(b >= (area[0]/m - 1)*a):
        a += 1
        b = (area[1] - 1) * a + 1
    a = str(a)
    b = str(-b)
    for i in range(h):
        ret = [None]*w
        for j in range(w):
            if((i+1) % hh == 0 and (j+1) % ww == 0):
                ret[j] = b
            else:
                ret[j] = a
        print(" ".join(ret))