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 PyPy3 (7.3.0) (judge verdict: Wrong Answer)

import sys
input = lambda : sys.stdin.readline().rstrip()
sys.setrecursionlimit(max(1000, 10**9))
write = lambda x: sys.stdout.write(x+"\n")


H, W, h, w = map(int, input().split())
v = [[1]*W for _ in range(H)]
for i in range(H//h):
    for j in range(W//w):
        v[(i+1)*h-1][(j+1)*w-1] = -(h*w)
def cumsum(a):
    """l[i] = sum(a[:i]) なるlを返す
    sum(a[i:j]) == l[j+1] - l[i]
    """
    c = 0
    l = [None] * (len(a)+1)
    for i,num in enumerate(a):
        l[i] = c
        c += num
    l[-1] = c
    return l
def cumsum2(v):
    # v: h*wの2次元リスト
    h,w = len(v), len(v[0])
    ans = [[0]*(w+1) for _ in range(h+1)]
    val = [cumsum(vv) for vv in v]
    for y in range(w+1):
        tmp = cumsum([val[i][y] for i in range(h)])
        for x in range(h+1):
            ans[x][y] = tmp[x]
    return ans
ss = sum(sum(vv) for vv in v)
if ss>0:
    print("Yes")
    write("\n".join(" ".join(map(str, vv)) for vv in v))
else:
    print("No")