【LeetCode】Longest Consecutive Sequence
2013-11-04 11:03
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Given an unsorted array of integers, find the length of the longest consecutive elements sequence.
For example,
Given
The longest consecutive elements sequence is
length:
Your algorithm should run in O(n) complexity.
Discuss
题目要求O(N)的时间复杂度,显然不能排序,考虑哈希,从某个数开始递增递减查询,更新最长长度,这里需要考虑一些退化的情况:
当输入是形如 【1,2,3,4,5.......n】的已经排好序的连续输入时候,算法可能退化成O(n^2),故考虑在哈希查询到的时候一并删除该元素,并在后面加判断长度是否已经
大于等于数组长度,java code :
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.
Discuss
题目要求O(N)的时间复杂度,显然不能排序,考虑哈希,从某个数开始递增递减查询,更新最长长度,这里需要考虑一些退化的情况:
当输入是形如 【1,2,3,4,5.......n】的已经排好序的连续输入时候,算法可能退化成O(n^2),故考虑在哈希查询到的时候一并删除该元素,并在后面加判断长度是否已经
大于等于数组长度,java code :
public class Solution { public int longestConsecutive(int[] num) { // IMPORTANT: Please reset any member data you declared, as // the same Solution instance will be reused for each test case. if(num.length == 0) return 0; if(num.length == 1) return 1; HashSet<Integer> hash = new HashSet<Integer>(); for(int i = 0; i < num.length; i++) { hash.add(num[i]); } int res = 0; for(int i = 0; i < num.length; i++) { int tmplen = 1, tmpnum; tmpnum = num[i] + 1; while(hash.contains(tmpnum)) { hash.remove(tmpnum); tmplen++; tmpnum++; } tmpnum = num[i] - 1; while(hash.contains(tmpnum)) { hash.remove(tmpnum); tmplen++; tmpnum--; } if(tmplen > res) res = tmplen; if(res >= num.length) break; } return res; } }
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