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.
Solution1 O(n)import java.util.Hashtable; public class Solution { public int longestConsecutive(int[] num) { // Start typing your Java solution below // DO NOT write main() function if(num.length < 1) return 0; Hashtable<Integer, Integer> hashtable = new Hashtable<Integer, Integer>(); for(int i = 0; i < num.length; i++){ if(hashtable.containsKey(num[i])) hashtable.put(num[i], hashtable.get(num[i]) + 1); else hashtable.put(num[i], 1); } int max = 1; for(int i = 0; i < num.length; i++){ if(hashtable.containsKey(num[i])){ int temp = 1, cur = num[i]; hashtable.remove(cur); temp += getDis(hashtable, cur + 1, true); temp += getDis(hashtable, cur - 1, false); max = temp > max ? temp : max; } } return max; } public int getDis(Hashtable<Integer, Integer> hashtable, int cur, boolean inc){ int dis = 0; while(hashtable.containsKey(cur)){ hashtable.remove(cur); dis++; if(inc) cur++; else cur--; } return dis; } }Solution2 O(nlgn)
public class Solution { public int longestConsecutive2(int[] num) { // Start typing your Java solution below // DO NOT write main() function Arrays.sort(num); int longest = 1; int cur = 1; for(int i = 1; i < num.length; i++){ if(num[i] == num[i - 1] + 1){ cur++; longest = longest > cur ? longest : cur; } else if(num[i] == num[i - 1]) continue; else cur = 1; } return longest; } }