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.
\n\nReturn the minimum possible score of a path between cities 1 and n.
Note:
\n\n1 and n multiple times along the path.1 and n.\n
Example 1:
\n![\"\"](\"https://assets.leetcode.com/uploads/2022/10/12/graph11.png\")
\n\nInput: n = 4, roads = [[1,2,9],[2,3,6],[2,4,5],[1,4,7]]\nOutput: 5\nExplanation: The path from city 1 to 4 with the minimum score is: 1 -> 2 -> 4. The score of this path is min(9,5) = 5.\nIt can be shown that no other path has less score.\n\n\n
Example 2:
\n![\"\"](\"https://assets.leetcode.com/uploads/2022/10/12/graph22.png\")
\n\nInput: n = 4, roads = [[1,2,2],[1,3,4],[3,4,7]]\nOutput: 2\nExplanation: The 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.\n\n\n
\n
Constraints:
\n\n2 <= n <= 1051 <= roads.length <= 105roads[i].length == 31 <= ai, bi <= nai != bi1 <= distancei <= 1041 and n.Compiled with clang 11 using the latest C++ 17 standard.
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