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Leetcode Problem 2267. Check if There Is a Valid Parentheses String Path
2267. Check if There Is a Valid Parentheses String Path
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Leetcode Solutions
-D Dynamic Programming (DP)
Solution Idea
Algorithm Steps
Code Implementation
Complexity Analysis
Check for base cases: if the grid starts with ')' or ends with '(', return false.
Initialize a 3D DP array with dimensions corresponding to the grid size and the maximum balance.
Define a recursive function that takes the current position and the balance as arguments.
If the current cell is out of bounds or the balance is invalid, return false.
If the end of the grid is reached with a balance of 1, return true.
If the current state has been computed before, return the stored result.
Update the balance based on the current cell's parenthesis.
Recursively call the function for the right and down cells.
Store the result in the DP array and return it.
Call the recursive function starting from the top-left cell with an initial balance of 0.
Simple DFS with Memoization
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