class Solution:
   def solve(self, A, words):
      N = len(A)
      M = len(A[0])
      trie = dict()
      for word in words:
         current = trie
         for c in word:
            if c in current:
               current = current[c]
            else:
               current[c] = dict()
               current = current[c]
         current["*"] = True
      ans = 0
      def dfs(x, y, d):
         nonlocal ans
         if "*" in d:
            del d["*"]
            ans += 1
         temp = A[x][y]
         A[x][y] = "#"
         for i in [x - 1, x, x + 1]:
            for j in [y - 1, y, y + 1]:
               if 0 <= i < N and 0 <= j < M and A[i][j] in d: dfs(i, j, d[A[i][j]])
         A[x][y] = temp
      for i in range(N):
         for j in range(M):
            if A[i][j] in trie:
               dfs(i, j, trie[A[i][j]])
      return ans
ob = Solution()
matrix = [
   ["m", "b", "f", "d"],
   ["x", "a", "y", "a"],
   ["t", "z", "t", "r"],
   ["s", "q", "q", "q"]
]
words = ["bat", "far", "mat"]
print(ob.solve(matrix, words))

[
["m", "b", "f", "d"],
["x", "a", "y", "a"],
["t", "z", "t", "r"],
["s", "q", "q", "q"] ],
["bat", "far", "mat"]

3