You are given an m x n matrix grid and a positive integer k. An island is a group of positive integers (representing land) that are 4-directionally connected (horizontally or vertically).
The total value of an island is the sum of the values of all cells in the island.
\n\nReturn the number of islands with a total value divisible by k.
\n
Example 1:
\n![\"\"](\"https://assets.leetcode.com/uploads/2025/03/06/example1griddrawio-1.png\")
\nInput: grid = [[0,2,1,0,0],[0,5,0,0,5],[0,0,1,0,0],[0,1,4,7,0],[0,2,0,0,8]], k = 5
\n\nOutput: 2
\n\nExplanation:
\n\nThe grid contains four islands. The islands highlighted in blue have a total value that is divisible by 5, while the islands highlighted in red do not.
\nExample 2:
\n![\"\"](\"https://assets.leetcode.com/uploads/2025/03/06/example2griddrawio.png\")
\nInput: grid = [[3,0,3,0], [0,3,0,3], [3,0,3,0]], k = 3
\n\nOutput: 6
\n\nExplanation:
\n\nThe grid contains six islands, each with a total value that is divisible by 3.
\n\n
Constraints:
\n\nm == grid.lengthn == grid[i].length1 <= m, n <= 10001 <= m * n <= 1050 <= grid[i][j] <= 1061 <= k <= 106给你一个 m x n 的矩阵 grid 和一个正整数 k。一个 岛屿 是由 正 整数（表示陆地）组成的，并且陆地间 四周 连通（水平或垂直）。
一个岛屿的总价值是该岛屿中所有单元格的值之和。
\n\n返回总价值可以被 k 整除 的岛屿数量。
\n\n
示例 1:
\n\n输入: grid = [[0,2,1,0,0],[0,5,0,0,5],[0,0,1,0,0],[0,1,4,7,0],[0,2,0,0,8]], k = 5
\n\n输出: 2
\n\n解释:
\n\n网格中包含四个岛屿。蓝色高亮显示的岛屿的总价值可以被 5 整除，而红色高亮显示的岛屿则不能。
\n示例 2:
\n\n输入: grid = [[3,0,3,0], [0,3,0,3], [3,0,3,0]], k = 3
\n\n输出: 6
\n\n解释:
\n\n网格中包含六个岛屿，每个岛屿的总价值都可以被 3 整除。
\n\n\n
提示:
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