How to Solve Longest Common Subpath Problem
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Longest Common Subpath
There is a country of n cities numbered from 0 to n - 1. In this country, there is a road connecting every pair of cities. There are m friends numbered from 0 to m - 1 who are traveling through the co...
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Understanding the Longest Common Subpath Problem
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Problem Statement
There is a country of n cities numbered from 0 to n - 1. In this country, there is a road connecting every pair of cities. There are m friends numbered from 0 to m - 1 who are traveling through the country. Each one of them will take a path consisting of some cities. Each path is represented by an integer array that contains the visited cities in order. The path may contain a city more than once, but the same city will not be listed consecutively. Given an integer n and a 2D integer array paths where paths[i] is an integer array representing the path of the ith friend, return the length of the longest common subpath that is shared by every friend's path, or 0 if there is no common subpath at all. A subpath of a path is a contiguous sequence of cities within that path.
Longest Common Subpath
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Examples
n = 5, paths = [[0,1,2,3,4],
2
The longest common subpath is [2,3].
n = 3, paths = [[0],[1],[2]]
0
There is no common subpath shared by the three paths.
n = 5, paths = [[0,1,2,3,4],
1
The possible longest common subpaths are [0], [1], [2], [3], and [4]. All have a length of 1.
Constraints
1 <= n <= 105
m == paths.length
2 <= m <= 105
sum(paths[i].length) <= 105
0 <= paths[i][j] < n
The same city is not listed multiple times consecutively in paths[i].
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