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Solution.java
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import java.util.*;
class Solution {
/**
* Time complexity: O(n^3), where n is length of the array
* Space complexity: O(n), note that every value is unique in the array
*/
public List<List<Integer>> fourSum(int[] nums, int target) {
List<List<Integer>> result = new ArrayList<>();
if (nums == null || nums.length < 4) return result;
Arrays.sort(nums);
int len = nums.length;
for (int a = 0; a < len - 3; a++) {
// duplicate
if (a > 0 && nums[a - 1] == nums[a]) continue;
// too small
if (nums[a] + nums[len - 3] + nums[len - 2] + nums[len - 1] < target) continue;
for (int b = a + 1; b < len - 2; b++) {
// duplicate
if (b > a + 1 && nums[b - 1] == nums[b]) continue;
// too big
if (nums[a] + nums[b] + nums[b + 1] + nums[b + 2] > target) break;
// too small
if (nums[a] + nums[b] + nums[len - 2] + nums[len - 1] < target) continue;
// li = left index, ri = right index
int li = b + 1;
int ri = len - 1;
while (li < ri) {
int diff = nums[a] + nums[b] + nums[li] + nums[ri] - target;
if (diff == 0) {
result.add(Arrays.asList(nums[a], nums[b], nums[li], nums[ri]));
while (li < ri && nums[li] == nums[li + 1]) li++;
while (li < ri && nums[ri - 1] == nums[ri]) ri--;
li++; ri--;
} else if (diff < 0) {
while(li < ri && nums[li] == nums[li + 1]) li++;
li++;
} else {
while (li < ri && nums[ri - 1] == nums[ri]) ri--;
ri--;
}
}
}
}
return result;
}
}