DSA Problems/πŸ“ŠArrays & Hashing

Longest Consecutive Sequence

ArrayHash TableUnion Find

Problem Statement

Given an unsorted array of integers nums, return the length of the longest consecutive elements sequence.

You must write an algorithm that runs in O(n) time.

Approach

Use a hash set. For each number, check if it is the start of a sequence (num-1 not in set), then count consecutive numbers.

Complexity Analysis

MetricValue
TimeO(n)
SpaceO(n)

Examples

Example 1

Input: nums = [100,4,200,1,3,2] Output: 4 Explanation: Longest consecutive sequence is [1,2,3,4]

Example 2

Input: nums = [0,3,7,2,5,8,4,6,0,1] Output: 9

Constraints

  • β–Έ0 <= nums.length <= 10^5
  • β–Έ-10^9 <= nums[i] <= 10^9
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