{ "data": { "question": { "questionId": "2051", "questionFrontendId": "1923", "categoryTitle": "Algorithms", "boundTopicId": 851802, "title": "Longest Common Subpath", "titleSlug": "longest-common-subpath", "content": "
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.
\n\n\n
Example 1:
\n\n\nInput: n = 5, paths = [[0,1,2,3,4],\n [2,3,4],\n [4,0,1,2,3]]\nOutput: 2\nExplanation: The longest common subpath is [2,3].\n\n\n
Example 2:
\n\n\nInput: n = 3, paths = [[0],[1],[2]]\nOutput: 0\nExplanation: There is no common subpath shared by the three paths.\n\n\n
Example 3:
\n\n\nInput: n = 5, paths = [[0,1,2,3,4],\n [4,3,2,1,0]]\nOutput: 1\nExplanation: The possible longest common subpaths are [0], [1], [2], [3], and [4]. All have a length of 1.\n\n
\n
Constraints:
\n\n1 <= n <= 105
m == paths.length
2 <= m <= 105
sum(paths[i].length) <= 105
0 <= paths[i][j] < n
paths[i]
.一个国家由 n
个编号为 0
到 n - 1
的城市组成。在这个国家里,每两个 城市之间都有一条道路连接。
总共有 m
个编号为 0
到 m - 1
的朋友想在这个国家旅游。他们每一个人的路径都会包含一些城市。每条路径都由一个整数数组表示,每个整数数组表示一个朋友按顺序访问过的城市序列。同一个城市在一条路径中可能 重复 出现,但同一个城市在一条路径中不会连续出现。
给你一个整数 n
和二维数组 paths
,其中 paths[i]
是一个整数数组,表示第 i
个朋友走过的路径,请你返回 每一个 朋友都走过的 最长公共子路径 的长度,如果不存在公共子路径,请你返回 0
。
一个 子路径 指的是一条路径中连续的城市序列。
\n\n\n\n
示例 1:
\n\n\n输入:n = 5, paths = [[0,1,2,3,4],\n [2,3,4],\n [4,0,1,2,3]]\n输出:2\n解释:最长公共子路径为 [2,3] 。\n\n\n
示例 2:
\n\n\n输入:n = 3, paths = [[0],[1],[2]]\n输出:0\n解释:三条路径没有公共子路径。\n\n\n
示例 3:
\n\n\n输入:n = 5, paths = [[0,1,2,3,4],\n [4,3,2,1,0]]\n输出:1\n解释:最长公共子路径为 [0],[1],[2],[3] 和 [4] 。它们长度都为 1 。\n\n
\n\n
提示:
\n\n1 <= n <= 105
m == paths.length
2 <= m <= 105
sum(paths[i].length) <= 105
0 <= paths[i][j] < n
paths[i]
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