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] ]
Solution: Same idea as 3Sum or 2Sum
Code 1: 72ms
public List<List<Integer>> fourSum(int[] nums, int target) {
List<List<Integer>> res = new ArrayList<>();
if (nums == null || nums.length < 4){
return res;
}
Arrays.sort(nums);
for (int i = 0; i < nums.length - 3; i++){
if (i > 0 && nums[i] == nums[i - 1]) continue;
for (int j = i + 1; j < nums.length - 2; j++){
if (j > i + 1 && nums[j] == nums[j - 1]) continue;
int l = j + 1, r = nums.length - 1;
while (l < r){
if (nums[i] + nums[j] + nums[l] + nums[r] < target){
l++;
} else if (nums[i] + nums[j] + nums[l] + nums[r] > target){
r--;
} else {
res.add(Arrays.asList(nums[i], nums[j], nums[l], nums[r]));
while (l < r && nums[l] == nums[l + 1]) l++;
while (l < r && nums[r] == nums[r - 1]) r--;
l++;
r--;
}
}
}
}
return res;
}
Code 2: With enhancement, 26ms
public List<List<Integer>> fourSum(int[] nums, int target) {
List<List<Integer>> res = new ArrayList<>();
if (nums == null || nums.length < 4){
return res;
}
Arrays.sort(nums);
for (int i = 0; i < nums.length - 3; i++){
if (i > 0 && nums[i] == nums[i - 1]) continue;
if (nums[i] + nums[i + 1] + nums[i + 2] + nums[i + 3] > target) break;
if (nums[i] + nums[nums.length - 1] + nums[nums.length - 2] + nums[nums.length - 3] < target) continue;
for (int j = i + 1; j < nums.length - 2; j++){
if (j > i + 1 && nums[j] == nums[j - 1]) continue;
if (nums[i] + nums[j] + nums[j + 1] + nums[j + 2] > target) break;
if (nums[i] + nums[j] + nums[nums.length - 1] + nums[nums.length - 2] < target) continue;
int l = j + 1, r = nums.length - 1;
while (l < r){
if (nums[i] + nums[j] + nums[l] + nums[r] < target){
l++;
} else if (nums[i] + nums[j] + nums[l] + nums[r] > target){
r--;
} else {
res.add(Arrays.asList(nums[i], nums[j], nums[l], nums[r]));
while (l < r && nums[l] == nums[l + 1]) l++;
while (l < r && nums[r] == nums[r - 1]) r--;
l++;
r--;
}
}
}
}
return res;
}