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)The same idea with 3sum.
public class Solution { public List<List<Integer>> fourSum(int[] num, int target) { List<List<Integer>> res = new ArrayList<List<Integer>>(); int n = num.length; if(n < 4) return res; Arrays.sort(num); int pre = num[0]; for(int i = 0; i < n-3; i++) { if(i > 0 && pre == num[i]) continue; pre = num[i]; int npre = num[i+1]; for(int j = i+1; j < n-2; j++) { if(j > i+1 && npre == num[j]) continue; npre = num[j]; int left = j + 1; int right = n - 1; while(left < right) { int sum = num[i] + num[j] + num[left] + num[right]; if(sum == target) { ArrayList<Integer> list = new ArrayList<Integer>(); list.add(num[i]); list.add(num[j]); list.add(num[left]); list.add(num[right]); res.add(list); left++; while(left < right && num[left] == num[left-1]) left++; } else if(sum > target) { right--; while(left < right && num[right] == num[right+1]) right--; } else { left++; while(left < right && num[left] == num[left-1]) left++; } } } } return res; } }
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