题目:
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.
解题思路:
用unordered_map来记录数字是否在数组中。 然后枚举每个数,看其相邻的数在不在unorded_map中,相邻的数在数组里的话,每个数之多访问一次;相邻的数不在数组里的话,枚举会中断。所以设哈希复杂度为O(1)的话,这个方法是严格的O(n)。
代码:
class Solution {public: int longestConsecutive(vector &num) { unordered_mapdict; //init for (int i = 0; i < num.size(); i++) { dict[num[i]] = false; } int ans = 0; for (int i = 0; i < num.size(); i++) { if (dict[num[i]] == false) { int cnt = 0; //枚举相邻的数,看是否在字典中 for (int j = num[i]; dict.count(j); j++, cnt++) { dict[j] = true; } for (int j = num[i] - 1; dict.count(j); j--, cnt++) { dict[j] = true; } ans = max(ans, cnt); } } return ans; }};