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)
解题思路:
(1)将数组递增排序
(2)依次枚举第一个加数
(3)设置两个指针分别指向第二个和第三个加数,第二个加数从前往后,第三个加数从后往前
(4)元素去重的方法
class Solution {
public:
vector<vector<int>> threeSum(vector<int>& nums){ sort(nums.begin(), nums.end());//对数组元素进行递增排序 vector<vector<int>> res; int numsSize = nums.size(); for (int i = 0; i < numsSize; i++) { //对元素nums[i]去重 if (i > 0 && nums[i] == nums[i-1]) continue; int j = i+1; int k = numsSize-1; while (j < k) { int sum = nums[i]+nums[j]+nums[k]; if (sum < 0) { j++; //对元素nums[j]去重 while (nums[j] == nums[j-1] && j < k) { j++; } } else if (sum > 0) { k--; //对元素nums[k]去重 while (nums[k] == nums[k+1] && j < k) { k--; } } else { vector<int> temp(3); temp[0] = nums[i]; temp[1] = nums[j++]; temp[2] = nums[k--]; res.push_back(temp); //对元素nums[j]去重 while (nums[j] == nums[j-1] && j < k) { j++; } //对元素nums[k]去重 while (nums[k] == nums[k+1] && j < k) { k--; } } } } return res; }
};
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