LeetCode 565, Medium. Topics: Array, Depth-First Search. View on LeetCode.
Generate this problem as a practice environment: tested reference solution, 18 parametrized pytest cases, and a playground notebook:
Problem
You are given an integer array nums of length n where nums is a permutation of the numbers in the range [0, n - 1].
You should build a set s[k] = {nums[k], nums[nums[k]], nums[nums[nums[k]]], ... } subjected to the following rule:
- The first element in
s[k] starts with the selection of the element nums[k] of index = k.
- The next element in
s[k] should be nums[nums[k]], and then nums[nums[nums[k]]], and so on.
- We stop adding right before a duplicate element occurs in
s[k].
Return the longest length of a set s[k].
Examples
Constraints
- 1 <= nums.length <= 10^5
- 0 <= nums[i] < nums.length
- All the values of
nums are unique.
Follow-up: Could you solve it using constant extra space complexity?
Solution
Reference implementation from solution.py on GitHub, full suite in test_solution.py:
Complexity
Last modified on September 7, 2026