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 not (H%h or W%w):
  print("No")
  exit()
if H%h:
  flg = "tate"
  n = H
  r = h
else:
  flg = "yoko"
  n = W
  r = w
ans = []
if r%2 == 0:
  s = r//2
  for i in range(n):
    if (i//s)%2 == 0:
      ans.append(2000)
    else:
      ans.append(-2001)
else:
  for i in range(n):
    if (i%r) < r//2+1:
      ans.append(2000)
    else:
      ans.append(-(int(2000/(r//2)*(r//2+1)))-1)
print("Yes")
if flg == "tate":
  for i in range(H):
    print(*([ans[i]]*W))
else:
  for i in range(H):
    print(*ans)