g1601_1700.s1697_checking_existence_of_edge_length_limited_paths

Class Solution

java.lang.Object

g1601_1700.s1697_checking_existence_of_edge_length_limited_paths.Solution

public class Solution
extends Object

1697 - Checking Existence of Edge Length Limited Paths.

Hard

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.

Example 1:

Input: n = 3, edgeList = [[0,1,2],[1,2,4],[2,0,8],[1,0,16]], queries = [[0,1,2],[0,2,5]]

Output: [false,true]

Explanation: 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.

Example 2:

Input: n = 5, edgeList = [[0,1,10],[1,2,5],[2,3,9],[3,4,13]], queries = [[0,4,14],[1,4,13]]

Output: [true,false] Exaplanation: The above figure shows the given graph.

Constraints:

• 2 <= n <= 105
• 1 <= edgeList.length, queries.length <= 105
• edgeList[i].length == 3
• queries[j].length == 3
• 0 <= ui, vi, pj, qj <= n - 1
• ui != vi
• pj != qj
• 1 <= disi, limitj <= 109
• There may be multiple edges between two nodes.

Constructor Summary

Constructors

Constructor and Description
Solution()

Method Summary

Modifier and Type	Method and Description
boolean[]	distanceLimitedPathsExist(int n, int[][] edgeList, int[][] queries)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

Solution

public Solution()

Method Detail

distanceLimitedPathsExist

public boolean[] distanceLimitedPathsExist(int n,
                                           int[][] edgeList,
                                           int[][] queries)