![\"\"](\"https://assets.leetcode.com/uploads/2022/03/23/ex1new2.jpg\")
You are given a 2D integer array grid of size m x n, where each cell contains a positive integer.
A cornered path is defined as a set of adjacent cells with at most one turn. More specifically, the path should exclusively move either horizontally or vertically up to the turn (if there is one), without returning to a previously visited cell. After the turn, the path will then move exclusively in the alternate direction: move vertically if it moved horizontally, and vice versa, also without returning to a previously visited cell.
\n\nThe product of a path is defined as the product of all the values in the path.
\n\nReturn the maximum number of trailing zeros in the product of a cornered path found in grid.
Note:
\n\n\n
Example 1:
\n\n\nInput: grid = [[23,17,15,3,20],[8,1,20,27,11],[9,4,6,2,21],[40,9,1,10,6],[22,7,4,5,3]]\nOutput: 3\nExplanation: The grid on the left shows a valid cornered path.\nIt has a product of 15 * 20 * 6 * 1 * 10 = 18000 which has 3 trailing zeros.\nIt can be shown that this is the maximum trailing zeros in the product of a cornered path.\n\nThe grid in the middle is not a cornered path as it has more than one turn.\nThe grid on the right is not a cornered path as it requires a return to a previously visited cell.\n\n\n
Example 2:
\n![\"\"](\"https://assets.leetcode.com/uploads/2022/03/25/ex2.jpg\")
\n\nInput: grid = [[4,3,2],[7,6,1],[8,8,8]]\nOutput: 0\nExplanation: The grid is shown in the figure above.\nThere are no cornered paths in the grid that result in a product with a trailing zero.\n\n\n
\n
Constraints:
\n\nm == grid.lengthn == grid[i].length1 <= m, n <= 1051 <= m * n <= 1051 <= grid[i][j] <= 1000给你一个二维整数数组 grid ，大小为 m x n，其中每个单元格都含一个正整数。
转角路径 定义为：包含至多一个弯的一组相邻单元。具体而言，路径应该完全 向水平方向 或者 向竖直方向 移动过弯（如果存在弯），而不能访问之前访问过的单元格。在过弯之后，路径应当完全朝 另一个 方向行进：如果之前是向水平方向，那么就应该变为向竖直方向；反之亦然。当然，同样不能访问之前已经访问过的单元格。
\n\n一条路径的 乘积 定义为：路径上所有值的乘积。
\n\n请你从 grid 中找出一条乘积中尾随零数目最多的转角路径，并返回该路径中尾随零的数目。
注意：
\n\n\n\n
示例 1：
\n\n
\n输入：grid = [[23,17,15,3,20],[8,1,20,27,11],[9,4,6,2,21],[40,9,1,10,6],[22,7,4,5,3]]\n输出：3\n解释：左侧的图展示了一条有效的转角路径。\n其乘积为 15 * 20 * 6 * 1 * 10 = 18000 ，共计 3 个尾随零。\n可以证明在这条转角路径的乘积中尾随零数目最多。\n\n中间的图不是一条有效的转角路径，因为它有不止一个弯。\n右侧的图也不是一条有效的转角路径，因为它需要重复访问已经访问过的单元格。\n\n\n
示例 2：
\n\n
\n输入：grid = [[4,3,2],[7,6,1],[8,8,8]]\n输出：0\n解释：网格如上图所示。\n不存在乘积含尾随零的转角路径。\n\n\n
\n\n
提示：
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