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)
思路:首先从小到大排序,第一层循环确定第一个数,相同的只取一次(第一次出现那个位置的),然后,寻找第2个和第3个数,保证第2个数比第3个数小,使用两个指针从两侧进行扫描,发现和为0即记录,直到指针相遇,改变第一个数,继续扫描。
import java.util.ArrayList; import java.util.Arrays; import java.util.List; public class Solution { public List<List<Integer>> threeSum(int[] nums) { List<List<Integer>> list = new ArrayList<List<Integer>>(); if (nums.length < 3) { return list; } Arrays.sort(nums); for (int i = 0; i < nums.length; i++) { if (i >= 1 && nums[i] == nums[i - 1]) { continue; } int j = i + 1; int k = nums.length - 1; while (j < k) { int sum = nums[i] + nums[j] + nums[k]; if (sum > 0) { while (k > j && k <= nums.length - 2 && nums[k] == nums[k - 1]) { k--; } k--; } else if (sum < 0) { while (j < k && j >= 1 && nums[j] == nums[j + 1]) { j++; } j++; } else { List<Integer> interList = new ArrayList<>(); interList.add(nums[i]); interList.add(nums[j]); interList.add(nums[k]); list.add(interList); while (j < k && j >= 1 && nums[j] == nums[j + 1]) { j++; } j++; } } } return list; } }