Problem:
Score : 700 points

Problem Statement

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.

Sample Input 1

3 3 2 2

Sample Output 1

Yes
1 1 1
1 -4 1
1 1 1

The sum of all the elements of this matrix is 4, which is positive.
Also, in this matrix, there are four subrectangles with 2 rows and 2 columns as shown below. For each of them, the sum of all the elements inside is -1, which is negative.

Sample Input 2

2 4 1 2

Sample Output 2

No

Sample Input 3

3 4 2 3

Sample Output 3

Yes
2 -5 8 7
3 -5 -4 -5
2 1 -1 7

Solution in Fortran (gfortran v4.8.4) (judge verdict: Wrong Answer)

program plus_minus_rectangle
  implicit none
  integer :: h, w, x, y, a(500,500), s(0:500,0:500), i, j
  a = 0
  s = 0
  read(*,*) h, w, x, y
  if (mod(h,x).eq.0.and.mod(w,y).eq.0) then
    write(*,'(a)') "No"
  end if
  write(*,'(a)') "Yes"
  do i = 1, h, x
    do j = 1, w, y
      a(i,j) = 1
      if (i+x-1.le.h.and.j+y-1.le.w) a(i+x-1,j+y-1) = -2
    end do
  end do
  do i = 1, h
    call output(a(i,1:w))
  end do
  stop
contains
  subroutine output(a)
    implicit none
    integer, intent(in) :: a(:)
    integer :: n, i
    n = size(a)
    do i = 1, n
      write(*,'(i0,x)',advance='no') a(i)
    end do
    write(*,*)
    return
  end subroutine output
end program plus_minus_rectangle