[LeetCode]4Sum
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class Solution {//fix i, j, then let p q walk to find out the fourSum target O(n^3)//there exists O(n^2logn) solutionpublic:vector<vector<int> > fourSum(vector<int> &num, int target) {// Start typing your C/C++ solution below// DO NOT write int main() functionif(num.size() < 4) return vector<vector<int> >();sort(num.begin(), num.end());vector<vector<int>> ans;for (int i = 0; i < num.size()-3; ++i){for (int j = i+1; j < num.size()-2; ++j){int p = j+1; int q = num.size()-1;fourSum_aux(num, target, i, j, p, q, ans);}}return ans;}void fourSum_aux( const vector<int> & num, int target, int i, int j, int p, int q, vector<vector<int>>& ans ) {//throw std::exception("The method or operation is not implemented.");target = target-num[i]-num[j];while (p < q){int sum = num[p]+num[q];if(sum > target)q--;else if (sum < target)p++;else {vector<int> path(4);path[0] = num[i]; path[1] = num[j]; path[2] = num[p]; path[3] = num[q];p++;if ( find(ans.begin(), ans.end(), path) == ans.end() )//...ans.push_back(path);}}}};
second timeclass Solution {public: void fourSumUtil(vector<int>& num, int target, int firstIdx, int secondIdx, vector<vector<int> >& allPath) { target = target-num[firstIdx]-num[secondIdx]; int left = secondIdx+1; int right = num.size()-1; while(left < right) { int sum = num[left]+num[right]; if(sum < target) left++; else if(sum > target) right--; else { vector<int> path(4); path[0] = num[firstIdx]; path[1] = num[secondIdx]; path[2] = num[left]; path[3] = num[right]; allPath.push_back(path); left++; } } } vector<vector<int> > fourSum(vector<int> &num, int target) { // Start typing your C/C++ solution below // DO NOT write int main() function sort(num.begin(), num.end()); vector<vector<int> > allPaths; for(int i = 0; i < (int)num.size()-3; ++i) { for(int j = i+1; j < (int)num.size()-2; ++j) { fourSumUtil(num, target, i, j, allPaths); } } //abort duplicates vector<vector<int> > ans; for(int i = 0; i < allPaths.size(); ++i) if(find(ans.begin(), ans.end(), allPaths[i]) == ans.end()) ans.push_back(allPaths[i]); return ans; }};
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