Given an array S of n integers, are there elements a, b, c, and d in S such that a + b + c + d = target? Find all unique quadruplets in the array which gives the sum of target.
Note:
- Elements in a quadruplet (a,b,c,d) must be in non-descending order. (ie, a ≤ b ≤ c ≤ d)
- The solution set must not contain duplicate quadruplets.
For example, given array S = {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)与3sum相同 但是多了一层循环 时间复杂O(n^3)
public class Solution { public List<List<Integer>> fourSum(int[] nums, int target) { List<List<Integer>> res = new ArrayList<List<Integer>>(); if (nums == null || nums.length == 0) { return res; } Arrays.sort(nums); for (int i = 0; i < nums.length - 3; i++) { if (i > 0 && nums[i] == nums[i-1]) {//如果i重复取 结果相同 continue; } for (int j = i + 1; j < nums.length - 2; j++) { if (j > i + 1 && nums[j] == nums[j - 1]) { continue; } int left = j + 1; int right = nums.length - 1; while (left < right) { int sum = nums[i] + nums[j] + nums[left] + nums[right]; if (sum == target) { List<Integer> tem = new ArrayList<Integer>(); tem.add(nums[i]); tem.add(nums[j]); tem.add(nums[left]); tem.add(nums[right]); res.add(tem); left++; right--; while (left < right && nums[left] == nums[left - 1]) { left++; } while (left < right && nums[right] == nums[right + 1]) { right --; } } else if (sum < target) { left++; } else { right--; } } } } return res; } }
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