### possibleToStamp 
from typing import *
def f_gold(grid: List[List[int]], stampHeight: int, stampWidth: int
) -> bool:
    m, n = len(grid), len(grid[0])
    s = [[0] * (n + 1) for _ in range(m + 1)]
    for i, row in enumerate(grid):
        for j, v in enumerate(row):
            s[i + 1][j + 1] = s[i + 1][j] + s[i][j + 1] - s[i][j] + v
    d = [[0] * (n + 1) for _ in range(m + 1)]
    for i, row in enumerate(grid):
        for j, v in enumerate(row):
            if v == 0:
                x, y = i + stampHeight, j + stampWidth
                if x <= m and y <= n and s[x][y] - s[x][j] - s[i][y] + s[i][j] == 0:
                    d[i][j] += 1
                    d[i][y] -= 1
                    d[x][j] -= 1
                    d[x][y] += 1
    cnt = [[0] * (n + 1) for _ in range(m + 1)]
    for i, row in enumerate(grid):
        for j, v in enumerate(row):
            cnt[i + 1][j + 1] = cnt[i + 1][j] + cnt[i][j + 1] - cnt[i][j] + d[i][j]
            if v == 0 and cnt[i + 1][j + 1] == 0:
                return False
    return True