CODE 114. 4Sum

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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)
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public ArrayList<ArrayList<Integer>> fourSum(int[] num, int target) {
// IMPORTANT: Please reset any member data you declared, as
// the same Solution instance will be reused for each test case.
if (num.length <= 3) {
ArrayList<ArrayList<Integer>> results = new ArrayList<ArrayList<Integer>>();
return results;
}
ArrayList<ArrayList<Integer>> results = new ArrayList<ArrayList<Integer>>();
Arrays.sort(num);
for (int i = 0; i < num.length - 3; i++) {
for (int j = i + 3; j < num.length; j++) {
int sum = num[i] + num[j];
int start = i + 1;
int end = j - 1;
while (start < end) {
if (num[start] + num[end] > target - sum) {
while (start < end && num[end - 1] == num[end]) {
end--;
}
end--;
} else if (num[start] + num[end] < target - sum) {
while (start < end && num[start + 1] == num[start]) {
start++;
}
start++;
} else {
ArrayList<Integer> result = new ArrayList<Integer>();
result.add(num[i]);
result.add(num[start]);
result.add(num[end]);
result.add(num[j]);
if (!results.contains(result)) {
results.add(result);
}
start++;
end--;
}
}
}
while (i < num.length - 3 && num[i + 1] == num[i]) {
i++;
}
}
return results;
}
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