How to Solve Longest Cycle in a Graph Problem
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Longest Cycle in a Graph
You are given a directed graph of n nodes numbered from 0 to n - 1, where each node has at most one outgoing edge. The graph is represented with a given 0-indexed array edges of size n, indicating tha...
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Understanding the Longest Cycle in a Graph Problem
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Problem Statement
You are given a directed graph of n nodes numbered from 0 to n - 1, where each node has at most one outgoing edge. The graph is represented with a given 0-indexed array edges of size n, indicating that there is a directed edge from node i to node edges[i]. If there is no outgoing edge from node i, then edges[i] == -1. Return the length of the longest cycle in the graph. If no cycle exists, return -1. A cycle is a path that starts and ends at the same node.
Longest Cycle in a Graph
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Examples
edges = [3,3,4,2,3]
3
The longest cycle in the graph is the cycle: 2 -> 4 -> 3 -> 2. The length of this cycle is 3, so 3 is returned.
edges = [2,-1,3,1]
-1
There are no cycles in this graph.
Constraints
n == edges.length
2 <= n <= 105
1 <= edges[i] < n
edges[i] != i
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