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 and W % w == 0:
	print("No")
elif h == 1:
	print("Yes")
	coef = 999999999 // (w-1)
	plus, minus = coef, -coef * (w-1) - 1
	for _ in range(H):
		print(*[minus if j%w == 0 else plus for j in range(1, W+1)])
elif w == 1:
	print("Yes")
	coef = 999999999 // (h-1)
	plus, minus = coef, -coef * (h-1) - 1
	for i in range(1, H+1):
		print(*[minus if i%h == 0 else plus for _ in range(W)])
else:
	print("Yes")
	coef = min(999999999 // ((h-1) * (w-1)), 1000000000 // (h+w-1))
	plus, minus = coef * (h+w-1), -coef * (h-1) * (w-1) - 1
	for i in range(1, H+1):
		if i%h != 0:
			print(*[minus if j%w == 0 else plus for j in range(1, W+1)])
		else:
			print(*[minus for _ in range(W)])