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 == W%w == 0:
  print('No')
  exit(0)
print('Yes')
f = 0
a, b = W, w
if not W%w:
  f = 1
  a, b = H, h
l = [0]*(a+1)
l[1] = 10**6
for i in range(2, a+1):
  if i >= b:
    l[i] = l[i-b] - 1
  else:
    l[i] = l[i-1] - 1
assert(l[-1] > 0)
g = [l[i+1] - l[i] for i in range(a)]
if f:
  for x in g:
    print(*([x]*W))
else:
  for _ in range(H):
    print(*g)