3Sum
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Given an array S of n integers, are there elements a, b, c in S such that a + b + c = 0? Find all unique triplets in the array which gives the sum of zero.
Note
Elements in a triplet (a,b,c) must be in non-descending order. (ie, a ≤ b ≤ c)
The solution set must not contain duplicate triplets.
For example, given array S = {-1 0 1 2 -1 -4}, A solution set is: (-1, 0, 1) (-1, -1, 2)
题目的意思是给定一个数组,找出三个数a,b,c,使得a+b+c=0,保证找到的一组三个数中按照从小到大的顺序排列,并且最后的结果中不包括重复的三个数的组合。
思路:知道了找出两个数相加的算法,然后求三个数相加,可以把问题转换为求两个数相加,那么可以固定a,只要找出b+c=-a即可,由于题目规定了不允许包括重复的组合,难点就是要考虑去重, 去除重复的数字时一定要考虑到left和right的范围,不然很容易出错
i+1<=left<=length-2
i+2<=right<=length-1
public class Solution { public List<List<Integer>> threeSum(int[] num) { List<List<Integer>> resultList = new ArrayList<List<Integer>>(); // 先将num排序 Arrays.sort(num); int length = num.length; for (int i = 0; i < length; i++) { int left = i + 1; int right = length - 1; int target = 0 - num[i]; while (left < right) { int sum = num[left] + num[right]; if (sum == target) { List<Integer> tmp = new ArrayList<Integer>(); tmp.add(num[i]); tmp.add(num[left]); tmp.add(num[right]); resultList.add(tmp); left++; right--; } else if (sum < target) left++; else right--; while (left < length && left>i+1&& num[left - 1] == num[left]) { left++; } while (right >= i + 1&& right<length-1 && num[right +1] == num[right]) { right--; } } while (i < length - 1 && num[i] == num[i + 1]) { i++; } } return resultList; }}
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