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: 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:双指针法。先将数组排序,然后两层循环,外层循环是第1个数字,目标值是其相反数,内层循环头尾分别是第2、3两个数字,内层循环双指针往中间靠拢,如果第2、3两个数字之和小于目标值,则头指针加1,反之尾指针减1。注意跳过重复的相邻数字。
class Solution {
public:
vector<vector<int>> threeSum(vector<int>& nums) {
vector<vector<int>>result;
sort(nums.begin(),nums.end());
for(int i=0;i<nums.size();i++)
{
if(i>0&&nums[i]==nums[i-1])
continue;
int start=i+1,end=nums.size()-1;
int target=-nums[i];
while(start<end)
{
if(start>i+1&&nums[start-1]==nums[start])
{
start++;
continue;
}
if(nums[start]+nums[end]<target)
start++;
else if(nums[start]+nums[end]>target)
end--;
else
{
vector<int>triple;
triple.push_back(nums[i]);
triple.push_back(nums[start]);
triple.push_back(nums[end]);
result.push_back(triple);
start++;
}
}
}
return result;
}
};