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4Sum.cpp
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// 解决这类问题有一个通用的模板,并且复杂度比常规的回溯低了一个数量级
// Runtime: 4 ms, faster than 99.85% of C++ online submissions for 4Sum.
// Memory Usage: 9.2 MB, less than 89.47% of C++ online submissions for 4Sum.
class Solution
{
public:
vector<vector<int>> fourSum(vector<int>& nums, int target)
{
vector<vector<int>> res;
vector<int> candidate;
sort(nums.begin(), nums.end());
getCandidate(4, res, candidate, nums, target, 0);
return res;
}
private:
void getCandidate(int N, vector<vector<int>>& res, vector<int>& candidate, const vector<int>& nums, int target, int start)
{
if (start + N > nums.size())
return ;
else if (N == 2)
{
int leftPtr = start;
int rightPtr = nums.size() - 1;
while (leftPtr < rightPtr)
{
int tempSum = nums[leftPtr] + nums[rightPtr];
if (tempSum == target)
{
candidate.push_back(nums[leftPtr]);
candidate.push_back(nums[rightPtr]);
res.push_back(candidate);
candidate.pop_back();
candidate.pop_back();
++leftPtr;
--rightPtr;
while (leftPtr < rightPtr && nums[leftPtr] == nums[leftPtr - 1])
++leftPtr;
while (leftPtr < rightPtr && nums[rightPtr] == nums[rightPtr + 1])
--rightPtr;
}
else if (tempSum > target)
{
--rightPtr;
}
else
{
++leftPtr;
}
}
}
else
{
for (int i = start; i <= nums.size() - N; ++i)
{
if (i != start && nums[i] == nums[i - 1])
continue;
if (nums[i] * N > target || nums.back() * N < target)
continue;
candidate.push_back(nums[i]);
getCandidate(N - 1, res, candidate, nums, target - nums[i], i + 1);
candidate.pop_back();
}
}
}
};