mirror of
https://github.com/ShusenTang/LeetCode.git
synced 2024-09-02 14:20:01 +00:00
Create 15. 3Sum.md
This commit is contained in:
parent
49ddc38f4a
commit
5bb9d7aeb6
42
15. 3Sum.md
Normal file
42
15. 3Sum.md
Normal file
@ -0,0 +1,42 @@
|
||||
# [15. 3Sum](https://leetcode.com/problems/3sum/)
|
||||
# 思路
|
||||
找出数组中的所有和为0的三个数组合。
|
||||
先想一下如何求所有和为0的两个数的组合。可以这样考虑,先将数组从小到大排序,再设置两个指针low和high分别初始为数组两端,计算两个指针的和sum,
|
||||
根据sum与0的大小关系适当调整指针:
|
||||
* 若sum > 0,说明和有点大了,应该小一点,则应该将high左移;
|
||||
* 若sum < 0,说明和有点小了,应该大一点,则应该将low右移;
|
||||
* 若sum = 0,说明刚刚好,记录即可,然后同时将low和high向中间移。
|
||||
|
||||
三个数的话其实思路是一致的只是外面多一层循环而已。先将数组排序,外层循环就是将当前位置的数定为第一个数,然后就进入内层循环进行类似两个数的和的操作。
|
||||
注意跳过重复元素。
|
||||
时间复杂度O(n^2),空间复杂度O(1)
|
||||
|
||||
|
||||
# C++
|
||||
``` C++
|
||||
class Solution {
|
||||
public:
|
||||
vector<vector<int>> threeSum(vector<int>& nums) {
|
||||
vector<vector<int>>res;
|
||||
int len = nums.size();
|
||||
sort(nums.begin(), nums.end());
|
||||
for(int i = 0; i < len - 2; i++){ // nums[i] 为三个数的第一个数
|
||||
if(i > 0 && nums[i] == nums[i - 1]) continue;
|
||||
int low = i + 1, high = nums.size() - 1;
|
||||
while(low < high){
|
||||
int sum = nums[i] + nums[low] + nums[high];
|
||||
if(sum < 0)
|
||||
while(++low < high && nums[low] == nums[low - 1]) ; // 不断右移low指针
|
||||
else if(sum > 0)
|
||||
while(low < --high && nums[high] == nums[high + 1]) ; // 不断左移high指针
|
||||
else{
|
||||
res.push_back(vector<int>{nums[i], nums[low], nums[high]});
|
||||
while(nums[++low] == nums[low - 1]) ;
|
||||
while(nums[--high] == nums[high + 1]) ;
|
||||
}
|
||||
}
|
||||
}
|
||||
return res;
|
||||
}
|
||||
};
|
||||
```
|
Loading…
Reference in New Issue
Block a user