{ "data": { "question": { "questionId": "1986", "questionFrontendId": "1857", "categoryTitle": "Algorithms", "boundTopicId": 759755, "title": "Largest Color Value in a Directed Graph", "titleSlug": "largest-color-value-in-a-directed-graph", "content": "

There is a directed graph of n colored nodes and m edges. The nodes are numbered from 0 to n - 1.

\r\n\r\n

You are given a string colors where colors[i] is a lowercase English letter representing the color of the ith node in this graph (0-indexed). You are also given a 2D array edges where edges[j] = [aj, bj] indicates that there is a directed edge from node aj to node bj.

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A valid path in the graph is a sequence of nodes x1 -> x2 -> x3 -> ... -> xk such that there is a directed edge from xi to xi+1 for every 1 <= i < k. The color value of the path is the number of nodes that are colored the most frequently occurring color along that path.

\r\n\r\n

Return the largest color value of any valid path in the given graph, or -1 if the graph contains a cycle.

\r\n\r\n

 

\r\n

Example 1:

\r\n\r\n

\"\"

\r\n\r\n
\r\nInput: colors = "abaca", edges = [[0,1],[0,2],[2,3],[3,4]]\r\nOutput: 3\r\nExplanation: The path 0 -> 2 -> 3 -> 4 contains 3 nodes that are colored "a" (red in the above image).\r\n
\r\n\r\n

Example 2:

\r\n\r\n

\"\"

\r\n\r\n
\r\nInput: colors = "a", edges = [[0,0]]\r\nOutput: -1\r\nExplanation: There is a cycle from 0 to 0.\r\n
\r\n\r\n

 

\r\n

Constraints:

\r\n\r\n", "translatedTitle": "有向图中最大颜色值", "translatedContent": "

给你一个 有向图 ,它含有 n 个节点和 m 条边。节点编号从 0 到 n - 1 。

\n\n

给你一个字符串 colors ,其中 colors[i] 是小写英文字母,表示图中第 i 个节点的 颜色 (下标从 0 开始)。同时给你一个二维数组 edges ,其中 edges[j] = [aj, bj] 表示从节点 aj 到节点 bj 有一条 有向边 。

\n\n

图中一条有效 路径 是一个点序列 x1 -> x2 -> x3 -> ... -> xk ,对于所有 1 <= i < k ,从 xi 到 xi+1 在图中有一条有向边。路径的 颜色值 是路径中 出现次数最多 颜色的节点数目。

\n\n

请你返回给定图中有效路径里面的 最大颜色值 。如果图中含有环,请返回 -1 。

\n\n

 

\n\n

示例 1:

\n\n

\"\"

\n\n
输入:colors = \"abaca\", edges = [[0,1],[0,2],[2,3],[3,4]]\n输出:3\n解释:路径 0 -> 2 -> 3 -> 4 含有 3 个颜色为 \"a\" 的节点(上图中的红色节点)。\n
\n\n

示例 2:

\n\n

\"\"

\n\n
输入:colors = \"a\", edges = [[0,0]]\n输出:-1\n解释:从 0 到 0 有一个环。\n
\n\n

 

\n\n

提示:

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(listof (listof exact-integer?)) exact-integer?)\n\n )", "__typename": "CodeSnippetNode" }, { "lang": "Erlang", "langSlug": "erlang", "code": "-spec largest_path_value(Colors :: unicode:unicode_binary(), Edges :: [[integer()]]) -> integer().\nlargest_path_value(Colors, Edges) ->\n .", "__typename": "CodeSnippetNode" }, { "lang": "Elixir", "langSlug": "elixir", "code": "defmodule Solution do\n @spec largest_path_value(colors :: String.t, edges :: [[integer]]) :: integer\n def largest_path_value(colors, edges) do\n\n end\nend", "__typename": "CodeSnippetNode" } ], "stats": "{\"totalAccepted\": \"4.8K\", \"totalSubmission\": \"9.8K\", \"totalAcceptedRaw\": 4834, \"totalSubmissionRaw\": 9805, \"acRate\": \"49.3%\"}", "hints": [ "Use topological sort.", "let dp[u][c] := the maximum count of vertices with color c of any path starting from vertex u. 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