Longest Consecutive Sequence

Similar Problems:

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

For example,

Given [100, 4, 200, 1, 3, 2],

The longest consecutive elements sequence is [1, 2, 3, 4]. Return its length: 4.

Your algorithm should run in O(n) complexity.

Github: code.dennyzhang.com

Credits To: leetcode.com

Leave me comments, if you have better ways to solve.

## https://code.dennyzhang.com/longest-consecutive-sequence class Solution: # Compared to longestConsecutive_v1, no need to search in both directions. def longestConsecutive(self, nums): """ :type nums: List[int] :rtype: int """ if len(nums) == 0: return 0 s = set(nums) max_count = 0 for num in set(nums): # only search from the biggest value of current group if num + 1 not in nums: y = num - 1 while y in nums: y = y -1 max_count = max(max_count, num-y) return max_count ## Basic Ideas: one consecutive sequence will be one group ## Build a hashmap ## Then loop, combine group, and delete the absorted elements ## ## Clarifications: Does the list contains duplicate elements? ## If yes, how you would like to treat the duplicate? ## ## Complexity: Time O(n), Space O(n) def longestConsecutive_v1(self, nums): """ :type nums: List[int] :rtype: int """ if len(nums) == 0: return 0 s = set(nums) max_count = 0 while len(s) != 0: num = s.pop() count = 1 # search bigger values v = num while v+1 in s: count += 1 v += 1 s.remove(v) # search smaller values v = num while v-1 in s: count += 1 v -= 1 s.remove(v) max_count = max(max_count, count) return max_count