How to Solve Length of the Longest Increasing Path Problem
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Length of the Longest Increasing Path
You are given a 2D array of integers coordinates of length n and an integer k, where 0 <= k < n. coordinates[i] = [xi, yi] indicates the point (xi, yi) in a 2D plane. An increasing path of length m is...
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Understanding the Length of the Longest Increasing Path Problem
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Problem Statement
You are given a 2D array of integers coordinates of length n and an integer k, where 0 <= k < n. coordinates[i] = [xi, yi] indicates the point (xi, yi) in a 2D plane. An increasing path of length m is defined as a list of points (x1, y1), (x2, y2), (x3, y3), ..., (xm, ym) such that: xi < xi + 1 and yi < yi + 1 for all i where 1 <= i < m. (xi, yi) is in the given coordinates for all i where 1 <= i <= m. Return the maximum length of an increasing path that contains coordinates[k].
Length of the Longest Increasing Path
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Examples
coordinates = [[3,1],[2,2],[4,1],[0,0],[5,3]], k = 13(0, 0), (2, 2), (5, 3) is the longest increasing path that contains (2, 2).
coordinates = [[2,1],[7,0],[5,6]], k = 22(2, 1), (5, 6) is the longest increasing path that contains (5, 6).
Constraints
1 <= n == coordinates.length <= 105coordinates[i].length == 20 <= coordinates[i][0], coordinates[i][1] <= 109All elements in coordinates are distinct.0 <= k <= n - 1How Interview Coder Helps with Leetcode Problems
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