2025-11-26 18:06:00 +0300 MSK

class Solution:
    def numberOfPaths(self, grid: List[List[int]], k: int) -> int:
        MOD = 10**9 + 7
        m, n = len(grid), len(grid[0])

        dp = [[[0] * k for _ in range(n + 1)] for _ in range(m + 1)]

        for i in range(1, m + 1):
            for j in range(1, n + 1):
                if i == 1 and j == 1:
                    dp[i][j][grid[0][0] % k] = 1
                    continue

                value = grid[i - 1][j - 1] % k
                for r in range(k):
                    prev_mod = (r - value + k) % k
                    dp[i][j][r] = (
                        dp[i - 1][j][prev_mod] + dp[i][j - 1][prev_mod]
                    ) % MOD

        return dp[m][n][0]