Sunday 21 August 2016

3Sum II

Given an array A of n integers, find all unique triplets in the array which gives the sum of zero.
The problem is a modification of the problem 3 Sum 
Note: 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]
]


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class Solution {
public:
    vector<vector<int>> threeSum(vector<int>& nums) {
        sort(nums.begin(), nums.end());
        vector<vector<int>> result;
        if(nums.size() < 3)
            return result;
        for(int i = 0; i < nums.size() - 2; i++){
            if(i == 0 || nums[i] != nums[i - 1]){
                int j = i + 1, k  = nums.size() - 1;
                while(j < k){
                    //use the approach as for 2 Sum
                    if(nums[i] + nums[j] + nums[k] == 0){
                        vector<int> three;
                        three.push_back(nums[i]);
                        three.push_back(nums[j]);
                        three.push_back(nums[k]);
                        result.push_back(three);
                        j++;
                        k--;
                        // skip duplicates
                        while(j < k && nums[j - 1] == nums[j]){
                            j++;
                        }
                        // skip duplicates
                        while(j < k && nums[k + 1] == nums[k]){
                            k--;
                        }
                    }
                    else if(nums[i] + nums[j] + nums[k] < 0){
                        j++;
                    }else{
                        k--;
                    }
                }
            }
        }
        return result;
    }
};
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