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:
def compose(W, w):
  A = [0]*W
  S = [0]*(W+1)
  S[W%w] = 1000
  for j in range(W-w+1):
    S[j+w] = S[j] - 1
  for j in range(W):
    A[j] = S[j+1] - S[j]
    
  return A

H, W, h, w = map(int, input().split())

if H%h == 0 and W%w == 0:
  print("No")
else:
  print("Yes")
  if W%w:
    S = compose(W, w)
    for _ in range(H):
      print(*S)
  else:
    S = compose(H, h)
    for i in range(H):
      print(*[S[i] for _ in range(W)])