How to Solve Longest Special Path Problem
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Longest Special Path
You are given an undirected tree rooted at node 0 with n nodes numbered from 0 to n - 1, represented by a 2D array edges of length n - 1, where edges[i] = [ui, vi, lengthi] indicates an edge between n...
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Understanding the Longest Special Path Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
You are given an undirected tree rooted at node 0 with n nodes numbered from 0 to n - 1, represented by a 2D array edges of length n - 1, where edges[i] = [ui, vi, lengthi] indicates an edge between nodes ui and vi with length lengthi. You are also given an integer array nums, where nums[i] represents the value at node i. A special path is defined as a downward path from an ancestor node to a descendant node such that all the values of the nodes in that path are unique. Note that a path may start and end at the same node. Return an array result of size 2, where result[0] is the length of the longest special path, and result[1] is the minimum number of nodes in all possible longest special paths.
Longest Special Path
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Examples
edges = [[0,1,2],[1,2,3],[1,3,5],[1,4,4],[2,5,6]], nums = [2,1,2,1,3,1][6,2]In the image below, nodes are colored by their corresponding values in nums The longest special paths are 2 -> 5 and 0 -> 1 -> 4, both having a length of 6. The minimum number of nodes across all longest special paths is 2.
edges = [[1,0,8]], nums = [2,2][0,1]The longest special paths are 0 and 1, both having a length of 0. The minimum number of nodes across all longest special paths is 1.
Constraints
2 <= n <= 5 * 104edges.length == n - 1edges[i].length == 30 <= ui, vi < n1 <= lengthi <= 103nums.length == n0 <= nums[i] <= 5 * 104The input is generated such that edges represents a valid tree.How Interview Coder Helps with Leetcode Problems
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