Code RoomCycle length in functional graph
MediumPrep Room Coding #4509

Cycle length in functional graph

CodingAlgorithms & data structuresMid–Senior~30 min

You are given a functional graph as an array next where next[i] is the single outgoing edge from node i (every node has exactly one successor), or -1 if node i has no successor (a terminal). Starting from node 0 and repeatedly following next, return the length of the cycle you eventually enter, or 0 if the walk terminates (reaches a -1) without ever entering a cycle. Indices in next are valid node indices or -1.

Implement
cycle_length_from_zero(next_arr: list[int]) → int
Examples
in[[1,2,3,1]]out3
What a strong answer looks like

State your approach and its time/space complexity out loud before you optimize. Handle the edge cases (empty input, duplicates, overflow), and say why you chose this over the brute force. Green tests are the floor, not the grade.

0:00 of about 30 min
InputExpectedGot
[[1,2,3,1]]3not run yetsample