How to Solve Minimum Score of a Path Between Two Cities Problem
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Minimum Score of a Path Between Two Cities
You are given a positive integer n representing n cities numbered from 1 to n. You are also given a 2D array roads where roads[i] = [ai, bi, distancei] indicates that there is a bidirectional road bet...
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Understanding the Minimum Score of a Path Between Two Cities Problem
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Problem Statement
You are given a positive integer n representing n cities numbered from 1 to n. You are also given a 2D array roads where roads[i] = [ai, bi, distancei] indicates that there is a bidirectional road between cities ai and bi with a distance equal to distancei. The cities graph is not necessarily connected. The score of a path between two cities is defined as the minimum distance of a road in this path. Return the minimum possible score of a path between cities 1 and n. Note: A path is a sequence of roads between two cities. It is allowed for a path to contain the same road multiple times, and you can visit cities 1 and n multiple times along the path. The test cases are generated such that there is at least one path between 1 and n.
Minimum Score of a Path Between Two Cities
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Examples
n = 4, roads = [[1,2,9],[2,3,6],[2,4,5],[1,4,7]]5The path from city 1 to 4 with the minimum score is: 1 -> 2 -> 4. The score of this path is min(9,5) = 5. It can be shown that no other path has less score.
n = 4, roads = [[1,2,2],[1,3,4],[3,4,7]]2The path from city 1 to 4 with the minimum score is: 1 -> 2 -> 1 -> 3 -> 4. The score of this path is min(2,2,4,7) = 2.
Constraints
2 <= n <= 1051 <= roads.length <= 105roads[i].length == 31 <= ai, bi <= nai != bi1 <= distancei <= 104There are no repeated edges.There is at least one path between 1 and n.How Interview Coder Helps with Leetcode Problems
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