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May 20, 2025
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163 changes: 163 additions & 0 deletions articles/4sum.md
Original file line number Diff line number Diff line change
Expand Up @@ -96,6 +96,35 @@ class Solution {
}
```

```csharp
public class Solution {
public List<List<int>> FourSum(int[] nums, int target) {
int n = nums.Length;
Array.Sort(nums);
HashSet<(int, int, int, int)> res = new HashSet<(int, int, int, int)>();

for (int a = 0; a < n; a++) {
for (int b = a + 1; b < n; b++) {
for (int c = b + 1; c < n; c++) {
for (int d = c + 1; d < n; d++) {
long sum = (long)nums[a] + nums[b] + nums[c] + nums[d];
if (sum == target) {
res.Add((nums[a], nums[b], nums[c], nums[d]));
}
}
}
}
}

var result = new List<List<int>>();
foreach (var quad in res) {
result.Add(new List<int> { quad.Item1, quad.Item2, quad.Item3, quad.Item4 });
}
return result;
}
}
```

::tabs-end

### Time & Space Complexity
Expand Down Expand Up @@ -287,6 +316,58 @@ class Solution {
}
```

```csharp
public class Solution {
public List<List<int>> FourSum(int[] nums, int target) {
Array.Sort(nums);
Dictionary<int, int> count = new Dictionary<int, int>();

foreach (int num in nums) {
if (!count.ContainsKey(num)) {
count[num] = 0;
}
count[num]++;
}

List<List<int>> res = new List<List<int>>();

for (int i = 0; i < nums.Length; i++) {
count[nums[i]]--;
if (i > 0 && nums[i] == nums[i - 1]) continue;

for (int j = i + 1; j < nums.Length; j++) {
count[nums[j]]--;
if (j > i + 1 && nums[j] == nums[j - 1]) continue;

for (int k = j + 1; k < nums.Length; k++) {
count[nums[k]]--;
if (k > j + 1 && nums[k] == nums[k - 1]) continue;

long fourth = (long)target - (long)nums[i] - (long)nums[j] - (long)nums[k];
if (fourth > int.MaxValue || fourth < int.MinValue) {
continue;
}

if (count.ContainsKey((int)fourth) && count[(int)fourth] > 0) {
res.Add(new List<int> { nums[i], nums[j], nums[k], (int)fourth });
}
}

for (int k = j + 1; k < nums.Length; k++) {
count[nums[k]]++;
}
}

for (int j = i + 1; j < nums.Length; j++) {
count[nums[j]]++;
}
}

return res;
}
}
```

::tabs-end

### Time & Space Complexity
Expand Down Expand Up @@ -448,6 +529,42 @@ class Solution {
}
```

```csharp
public class Solution {
public List<List<int>> FourSum(int[] nums, int target) {
Array.Sort(nums);
List<List<int>> res = new List<List<int>>();
int n = nums.Length;

for (int i = 0; i < n; i++) {
if (i > 0 && nums[i] == nums[i - 1]) continue;

for (int j = i + 1; j < n; j++) {
if (j > i + 1 && nums[j] == nums[j - 1]) continue;

int left = j + 1, right = n - 1;
while (left < right) {
long sum = (long)nums[i] + nums[j] + nums[left] + nums[right];
if (sum == target) {
res.Add(new List<int> { nums[i], nums[j], nums[left], nums[right] });
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;
}
}
```

::tabs-end

### Time & Space Complexity
Expand Down Expand Up @@ -637,6 +754,52 @@ class Solution {
}
```

```csharp
public class Solution {
private List<List<int>> res;
private List<int> quad;

public List<List<int>> FourSum(int[] nums, int target) {
Array.Sort(nums);
res = new List<List<int>>();
quad = new List<int>();
KSum(nums, 4, 0, target);
return res;
}

private void KSum(int[] nums, int k, int start, long target) {
if (k == 2) {
int l = start, r = nums.Length - 1;
while (l < r) {
long sum = (long)nums[l] + nums[r];
if (sum < target) {
l++;
} else if (sum > target) {
r--;
} else {
List<int> newQuad = new List<int>(quad);
newQuad.Add(nums[l]);
newQuad.Add(nums[r]);
res.Add(newQuad);
l++;
r--;
while (l < r && nums[l] == nums[l - 1]) l++;
while (l < r && nums[r] == nums[r + 1]) r--;
}
}
return;
}

for (int i = start; i < nums.Length - k + 1; i++) {
if (i > start && nums[i] == nums[i - 1]) continue;
quad.Add(nums[i]);
KSum(nums, k - 1, i + 1, target - nums[i]);
quad.RemoveAt(quad.Count - 1);
}
}
}
```

::tabs-end

### Time & Space Complexity
Expand Down
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