Longest Consecutive Sequence 시간 복잡도 계산

[hi-rachel]

안녕하세요, 이번에 리트 코드 스터디 4기 참여하게된 hi-rachel입니다.
1주차 문제를 풀다가 궁금한 점이 생겨 글 남깁니다.

문제: #240

내 풀이

# O(n log n) time, O(1) space

class Solution:
    def longestConsecutive(self, nums: List[int]) -> int:
        if not nums: 
            return 0
        
        nums.sort()
        longest = 0
        cnt = 1

        for i in range(len(nums)-1):
            if nums[i]+1 == nums[i+1]:
                cnt += 1

            elif nums[i] == nums[i+1]:
                continue
            else:
                longest = max(cnt, longest)
                cnt = 1
        longest = max(cnt, longest)
        
        return longest

알고달레 풀이 3번

# O(n) time, O(n) space
class Solution:
    def longestConsecutive(self, nums: List[int]) -> int:
        num_set = set(nums)
        longest = 0

        for num in nums:
            if num - 1 in num_set:
                continue
            length = 1
            while num + length in num_set:
                length += 1
            longest = max(length, longest)

        return longest

일단 해당 문제를 제 힘으로 풀어봤지만 계산해본 결과 정렬을 사용했기 때문에 시간 복잡도가 O(n log n)여서 리트 코드에서는 통과했지만
문제에서 요구하는 O(n) 풀이를 만들기 위해 알고달레님의 해설을 참고했습니다.
풀이 3번이 O(n)으로 시간 복잡도가 더 빠른 것으로 계산이 되는데 왜 리트 코드에서는 제 풀이는 통과하고 3번 풀이는 통과하지 않을까요?

제 생각: 정렬이 내부적으로 최적화돼서 생각보다 빠르다?

아래 문제가 되는 테스트 케이스 첨부합니다.
단순히 궁금해서 올려봅니다. 감사합니다.

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