--- title: '128. Longest Consecutive Sequence' description: Given an unsorted array of integers nums, return the length of the longest consecutive elements sequence icon: dot topics: - { name: "Array", slug: "array" } - { name: "Hash Table", slug: "hash-table" } - { name: "Union-Find", slug: "union-find" } issue: "https://github.com/prdlk/leetcode/issues/34" companies: - { name: "tcs", period: "Thirty Days", frequency: 74.3 } - { name: "Bloomberg", period: "Thirty Days", frequency: 69.8 } - { name: "Amazon", period: "Thirty Days", frequency: 65.8 } - { name: "Microsoft", period: "Thirty Days", frequency: 57.2 } - { name: "Google", period: "Thirty Days", frequency: 53.2 } - { name: "Apple", period: "Three Months", frequency: 69 } - { name: "Meta", period: "Three Months", frequency: 34.5 } - { name: "Paytm", period: "Six Months", frequency: 100 } - { name: "Nvidia", period: "Six Months", frequency: 91.1 } - { name: "TikTok", period: "Six Months", frequency: 55.2 } - { name: "Salesforce", period: "Six Months", frequency: 50.2 } sidebar: label: 'Longest Consecutive Sequence' badge: 'Medium' --- ::::warning You must write an algorithm that runs in O(n) time. :::: ### Example 1: - Input: `nums = [100,4,200,1,3,2]` - Output: `4` - Explanation: The longest consecutive elements sequence is [1, `2`, `3`, 4]. Therefore its length is `4`. ### Example 2: - Input: `nums = [0,3,7,2,5,8,4,6,0,1]` - Output: `9` ### Example 3: - Input: `nums = [1,0,1,2]` - Output: `3` ### Constraints: - `0 <= nums.length <= 10^5` - `-10^9 <= nums[i] <= 10^9` ## Solution ```py class Solution: def longestConsecutive(self, nums: list[int]) -> int: seen = set(nums) best = 0 for n in seen: if n - 1 in seen: continue length = 1 while length + n in seen: length += 1 best = max(length, best) return best ```