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柯于旺 · 更新于 2018-11-28 11:00:43

3 Sum(3 个数的和)

翻译

给定一个有 n 个整数的数组 S,是否存在三个元素 a,b,c 使得 a+b+c=0? 找出该数组中所有不重复的 3 个数,它们的和为 0。

备注:
这三个元素必须是从小到大进行排序。
结果中不能有重复的 3 个数。

例如,给定数组 S={-1 0 1 2 -1 4},一个结果集为:
(-1, 0, 1)
(-1, -1, 2)

原文

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)

经典方法,可惜我并没有想到这样写……

class Solution {
public:
    vector<vector<int>> threeSum(vector<int>& nums) {
        sort(nums.begin(), nums.end());
        vector<vector<int>> result;

        int len = nums.size();      
        for (int current = 0; current < len - 2&&nums[current]<=0;current++)
        {
            int front = current + 1, back = len - 1;
            while (front < back)
            {
                if (nums[current] + nums[front] + nums[back] < 0)
                    front++;
                else if (nums[current] + nums[front] + nums[back] > 0)
                    back--;
                else
                {
                    vector<int> v(3);
                        v.push_back(nums[current]);
                        v.push_back(nums[front]);
                        v.push_back(nums[back]);
                        result.push_back(v);
                        v.clear();
                    do {
                        front++;
                    } while (front < back&&nums[front - 1] == nums[front]);
                    do {
                        back--;
                    } while (front < back&&nums[back + 1] == nums[back]);
                }
            }                    
            while (current < len - 2 && nums[current + 1] == nums[current])
                current++;
        }                                  
        return result;
    }
};

继续努力……

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