How to Solve Largest Color Value in a Directed Graph Leetcode Problem - Interview Coder Guide
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How to Solve Largest Color Value in a Directed Graph Problem

Master the Largest Color Value in a Directed Graph LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.

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Hard#1986
LeetCode Problem

Largest Color Value in a Directed Graph

There is a directed graph of n colored nodes and m edges. The nodes are numbered from 0 to n - 1. You are given a string colors where colors[i] is a lowercase English letter representing the color of ...

Hash TableDynamic ProgrammingGraph+3 more

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Problem Breakdown

Understanding the Largest Color Value in a Directed Graph Problem

Let's break down this LeetCode problem and understand what makes it challenging in interview settings.

Problem Statement

There is a directed graph of n colored nodes and m edges. The nodes are numbered from 0 to n - 1. 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. 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. Return the largest color value of any valid path in the given graph, or -1 if the graph contains a cycle.

HardProblem #1986
LeetCode

Largest Color Value in a Directed Graph

Related Topics
Hash TableDynamic ProgrammingGraphTopological SortMemoizationCounting
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Examples

Example 1
INPUT
colors = "abaca", edges = [[0,1],[0,2],[2,3],[3,4]]
OUTPUT
3
EXPLANATION

The path 0 -> 2 -> 3 -> 4 contains 3 nodes that are colored "a" (red in the above image).

Example 2
INPUT
colors = "a", edges = [[0,0]]
OUTPUT
-1
EXPLANATION

There is a cycle from 0 to 0.

Constraints

n == colors.length
m == edges.length
1 <= n <= 105
0 <= m <= 105
colors consists of lowercase English letters.
0 <= aj, bj < n

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