Longest Increasing Path In Matrix
Detailed guide and Python implementation for the 'Longest Increasing Path In Matrix' problem.
Problem Statement
Given an m x n integers matrix, return the length of the longest increasing path in matrix.
From each cell, you can either move in four directions: left, right, up, or down. You may not move diagonally or move outside the boundary (i.e., wrap-around is not allowed).
Write a function longestIncreasingPath(matrix: List[List[int]]) -> int.
- •m == len(matrix)
- •n == len(matrix[0])
- •1 <= m, n <= 200
- •0 <= matrix[i][j] <= 2^31 - 1
Examples
matrix = [[9,9,4],[6,6,8],[2,1,1]]
4
The longest increasing path is [1, 2, 6, 9].
matrix = [[3,4,5],[3,2,6],[2,2,1]]
4
The longest increasing path is [3, 4, 5, 6]. Moving diagonally is not allowed.
Need a Hint?
Edge Cases to Watch
- Empty input structures
- Single element inputs
- Large numerical bounds
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