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Algorithm

15. 3Sum

Description

Given an array nums of n integers, are there elements a, b, c in nums such that a + b + c = 0? Find all unique triplets in the array which gives the sum of zero.

Notice that the solution set must not contain duplicate triplets.

Example 1:

Input: nums = [-1,0,1,2,-1,-4]
Output: [[-1,-1,2],[-1,0,1]]

Example 2:

Input: nums = []
Output: []

Example 3:

Input: nums = [0]
Output: []

Constraints:

  • 0 <= nums.length <= 3000
  • -105 <= nums[i] <= 105

Solution

class Solution {
    public List<List<Integer>> threeSum(int[] nums) {
        Arrays.sort(nums);
        List<List<Integer>> list = new ArrayList<>();
        for(int i=0;i<nums.length;i++){
            if(i>0&&nums[i]==nums[i-1])continue;
            for(int j=i+1,k=nums.length-1;j<k;){
                if(nums[i]+nums[j]+nums[k]==0){
                    list.add(Arrays.asList(nums[i],nums[j],nums[k]));
                    j++;
                    k--;
                    while(j<k&&nums[j-1]==nums[j]){
                        j++;
                    }
                    while(j<k&&nums[k]==nums[k+1]){
                        k--;
                    }
                }else if(nums[i]+nums[j]+nums[k]<0){
                    j++;
                }else{
                    k--;
                }
            }
        }
        return list;
    }
}

Discuss

  1. 核心是去重
  2. 两边同时查找的思想

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