[LeetCode] Longest Consecutive Sequence

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.

      First of all,if there is no time complexity,we could sort the array,and then scan the array.Unfortunately,the time complexity is O(n*log n).It's been many times,when I am asked to solve a problem in O(n) which can be solved in O(n*log n) by using classical quicksort I would use a alternative method--hash table to do it.Here is the code.

 1 class Solution {
 2 public:
 3     int longestConsecutive(vector<int> &num) {
 4         unordered_map<int,bool> hashmap;
 5         int maxlength = 0;
 6         int curlength = 0;
 7         
 8         for(vector<int>::iterator iter = num.begin();
 9             iter!=num.end();++iter){
10             hashmap.insert(pair<int,bool>(*iter,true));
11         }
12         
13         for(vector<int>::iterator iter = num.begin();
14             iter!=num.end();++iter){
15             int num = *iter;
16             curlength = 0;
17             while(hashmap.find(num) != hashmap.end()){
18                 ++curlength;
19                 hashmap.erase(num);
20                 ++num;
21             }
22             
23             num = *iter-1;
24             while(hashmap.find(num) != hashmap.end()){
25                 ++curlength;
26                 hashmap.erase(num);
27                 --num;
28             }
29             
30             maxlength = maxlength<curlength?curlength:maxlength;
31         }
32         return maxlength;
33     }
34 };            

 

posted @ 2014-10-06 22:52  zhouyoulie  阅读(150)  评论(0编辑  收藏  举报