How to Solve Checking Existence of Edge Length Limited Paths Problem
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Checking Existence of Edge Length Limited Paths
An undirected graph of n nodes is defined by edgeList, where edgeList[i] = [ui, vi, disi] denotes an edge between nodes ui and vi with distance disi. Note that there may be multiple edges between two ...
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Understanding the Checking Existence of Edge Length Limited Paths Problem
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Problem Statement
An undirected graph of n nodes is defined by edgeList, where edgeList[i] = [ui, vi, disi] denotes an edge between nodes ui and vi with distance disi. Note that there may be multiple edges between two nodes. Given an array queries, where queries[j] = [pj, qj, limitj], your task is to determine for each queries[j] whether there is a path between pj and qj such that each edge on the path has a distance strictly less than limitj . Return a boolean array answer, where answer.length == queries.length and the jth value of answer is true if there is a path for queries[j] is true, and false otherwise.
Checking Existence of Edge Length Limited Paths
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Examples
n = 3, edgeList = [[0,1,2],[1,2,4],[2,0,8],[1,0,16]], queries = [[0,1,2],[0,2,5]][false,true]The above figure shows the given graph. Note that there are two overlapping edges between 0 and 1 with distances 2 and 16. For the first query, between 0 and 1 there is no path where each distance is less than 2, thus we return false for this query. For the second query, there is a path (0 -> 1 -> 2) of two edges with distances less than 5, thus we return true for this query.
n = 5, edgeList = [[0,1,10],[1,2,5],[2,3,9],[3,4,13]], queries = [[0,4,14],[1,4,13]][true,false]The above figure shows the given graph.
Constraints
2 <= n <= 1051 <= edgeList.length, queries.length <= 105edgeList[i].length == 3queries[j].length == 30 <= ui, vi, pj, qj <= n - 1ui != vipj != qj1 <= disi, limitj <= 109There may be multiple edges between two nodes.How Interview Coder Helps with Leetcode Problems
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