内容简介:本题的思路和3Sum一致,无非是多加一层循环。当然,时间复杂度就为O(n^3)了。时间复杂度:O(n^3)空间复杂度:O(n)
原题
Given an array nums
of n
integers and an integer target
, are there elements a
, b
, c
, and d
in nums
such that a
+ b
+ c
+ d
= target
? Find all unique quadruplets in the array which gives the sum of target
.
Note:
The solution set must not contain duplicate quadruplets.
Example:
Given array nums = [1, 0, -1, 0, -2, 2], and target = 0. A solution set is: [ [-1, 0, 0, 1], [-2, -1, 1, 2], [-2, 0, 0, 2] ]
题解
本题的思路和3Sum一致,无非是多加一层循环。当然,时间复杂度就为O(n^3)了。
class Solution { public: vector<vector<int>> fourSum(vector<int>& nums, int target) { vector< vector<int> > rs; sort(nums.begin(), nums.end()); int l = nums.size(), f = 0, b = 0; for (int i = 0; i < l - 3; ++i) { if (i > 0 && nums[i] == nums[i - 1]) continue; for (int j = i + 1; j < l - 2; j++) { f = j + 1; b = l - 1; if (j - i > 1 && nums[j] == nums[j - 1]) continue; while (f < b) { if (nums[i] + nums[j] + nums[f] + nums[b] < target) { while (nums[f] == nums[++f]) {} } else if(nums[i] + nums[j] + nums[f] + nums[b] > target) { while (nums[b] == nums[--b]) {} } else { vector<int> tmp = {nums[i], nums[j], nums[f], nums[b]}; rs.push_back(tmp); while (nums[f] == nums[++f]) {} while (nums[b] == nums[--b]) {} } } } } return rs; } };
时间复杂度:O(n^3)
空间复杂度:O(n)
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