A parentheses string is a non-empty string consisting only of '(' and ')'. It is valid if any of the following conditions is true:
().AB (A concatenated with B), where A and B are valid parentheses strings.(A), where A is a valid parentheses string.You are given an m x n matrix of parentheses grid. A valid parentheses string path in the grid is a path satisfying all of the following conditions:
(0, 0).(m - 1, n - 1).Return true if there exists a valid parentheses string path in the grid. Otherwise, return false.
\n
Example 1:
\n![\"\"](\"https://assets.leetcode.com/uploads/2022/03/15/example1drawio.png\")
\n\nInput: grid = [["(","(","("],[")","(",")"],["(","(",")"],["(","(",")"]]\nOutput: true\nExplanation: The above diagram shows two possible paths that form valid parentheses strings.\nThe first path shown results in the valid parentheses string "()(())".\nThe second path shown results in the valid parentheses string "((()))".\nNote that there may be other valid parentheses string paths.\n\n\nExample 2:
\n![\"\"](\"https://assets.leetcode.com/uploads/2022/03/15/example2drawio.png\")
\n\nInput: grid = [[")",")"],["(","("]]\nOutput: false\nExplanation: The two possible paths form the parentheses strings "))(" and ")((". Since neither of them are valid parentheses strings, we return false.\n\n\n\n
Constraints:
\n\nm == grid.lengthn == grid[i].length1 <= m, n <= 100grid[i][j] is either '(' or ')'.Compiled with clang 11 using the latest C++ 20 standard.
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