d477545505 2016-01-13        kinaba: #include <iostream>
d477545505 2016-01-13        kinaba: #include <sstream>
d477545505 2016-01-13        kinaba: #include <iomanip>
d477545505 2016-01-13        kinaba: #include <vector>
d477545505 2016-01-13        kinaba: #include <string>
d477545505 2016-01-13        kinaba: #include <map>
d477545505 2016-01-13        kinaba: #include <set>
d477545505 2016-01-13        kinaba: #include <algorithm>
d477545505 2016-01-13        kinaba: #include <numeric>
d477545505 2016-01-13        kinaba: #include <iterator>
d477545505 2016-01-13        kinaba: #include <functional>
d477545505 2016-01-13        kinaba: #include <complex>
d477545505 2016-01-13        kinaba: #include <queue>
d477545505 2016-01-13        kinaba: #include <stack>
d477545505 2016-01-13        kinaba: #include <cmath>
d477545505 2016-01-13        kinaba: #include <cassert>
d477545505 2016-01-13        kinaba: #include <tuple>
d477545505 2016-01-13        kinaba: using namespace std;
d477545505 2016-01-13        kinaba: typedef long long LL;
d477545505 2016-01-13        kinaba: typedef complex<double> CMP;
d477545505 2016-01-13        kinaba: 
d477545505 2016-01-13        kinaba: class ReturnOfTheJedi { public:
d477545505 2016-01-13        kinaba: 	vector <double> minimalExpectation(vector <int> x, vector <int> p)
d477545505 2016-01-13        kinaba: 	{
d477545505 2016-01-13        kinaba: 		vector<pair<double,double>> item;
d477545505 2016-01-13        kinaba: 		for(int i=0; i<x.size(); ++i)
d477545505 2016-01-13        kinaba: 			item.emplace_back(p[i]/100000.0, x[i]);
d477545505 2016-01-13        kinaba: 
d477545505 2016-01-13        kinaba: 		vector<double> ans(x.size());
d477545505 2016-01-13        kinaba: 
d477545505 2016-01-13        kinaba: 		vector<pair<double,double>> iA = item;
d477545505 2016-01-13        kinaba: 		double pA = 1.0;
d477545505 2016-01-13        kinaba: 		double xA = 0.0;
d477545505 2016-01-13        kinaba: 		vector<pair<double,double>> iB = item;
d477545505 2016-01-13        kinaba: 		double pB = 1.0;
d477545505 2016-01-13        kinaba: 		double xB = 0.0;
d477545505 2016-01-13        kinaba: 		{
d477545505 2016-01-13        kinaba: 			vector<pair<double,double>>::iterator b1 = iB.begin();
d477545505 2016-01-13        kinaba: 			double best_score = 1e+300;
d477545505 2016-01-13        kinaba: 			for(vector<pair<double,double>>::iterator it = iB.begin(); it != iB.end(); ++it) {
d477545505 2016-01-13        kinaba: 				double score = it->first * it->second;
d477545505 2016-01-13        kinaba: 				if(best_score > score)
d477545505 2016-01-13        kinaba: 					{b1 = it, best_score = score;}
d477545505 2016-01-13        kinaba: 			}
d477545505 2016-01-13        kinaba: 			pB = b1->first;
d477545505 2016-01-13        kinaba: 			xB = b1->second;
d477545505 2016-01-13        kinaba: 			iB.erase(b1);
d477545505 2016-01-13        kinaba: 			ans[0] = (pB*xB);
d477545505 2016-01-13        kinaba: 		}
d477545505 2016-01-13        kinaba: 
d477545505 2016-01-13        kinaba: 		for(int k=1; k<ans.size(); ++k) {
d477545505 2016-01-13        kinaba: 			vector<pair<double,double>>::iterator b1 = iB.begin();
d477545505 2016-01-13        kinaba: 			double best_score = 1e+300;
d477545505 2016-01-13        kinaba: 			for(vector<pair<double,double>>::iterator it = iB.begin(); it != iB.end(); ++it) {
d477545505 2016-01-13        kinaba: 				double score = pB*it->first * (xB+it->second);
d477545505 2016-01-13        kinaba: 				if(best_score > score)
d477545505 2016-01-13        kinaba: 					{b1 = it, best_score = score;}
d477545505 2016-01-13        kinaba: 			}
d477545505 2016-01-13        kinaba: 			vector<pair<double,double>>::iterator b2 = iA.begin();
d477545505 2016-01-13        kinaba: 			vector<pair<double,double>>::iterator b3 = iA.begin();
d477545505 2016-01-13        kinaba: 			bool A_mode = false;
d477545505 2016-01-13        kinaba: 			for(vector<pair<double,double>>::iterator it = iA.begin(); it != iA.end(); ++it)
d477545505 2016-01-13        kinaba: 			for(vector<pair<double,double>>::iterator kt = it; kt != iA.end(); ++kt) if(kt!=it){
d477545505 2016-01-13        kinaba: 				double score = pA*it->first*kt->first * (xA+it->second+kt->second);
d477545505 2016-01-13        kinaba: 				if(best_score > score)
d477545505 2016-01-13        kinaba: 					{b2 = it, b3 = kt, best_score = score, A_mode = true;}
d477545505 2016-01-13        kinaba: 			}
d477545505 2016-01-13        kinaba: 			if(!A_mode) {
d477545505 2016-01-13        kinaba: 				pA = pB;
d477545505 2016-01-13        kinaba: 				xA = xB;
d477545505 2016-01-13        kinaba: 				iA = iB;
d477545505 2016-01-13        kinaba: 				pB *= b1->first;
d477545505 2016-01-13        kinaba: 				xB += b1->second;
d477545505 2016-01-13        kinaba: 				iB.erase(b1);
d477545505 2016-01-13        kinaba: 			} else {
d477545505 2016-01-13        kinaba: 				pA *= b2->first * b3->first;
d477545505 2016-01-13        kinaba: 				xA += b2->second + b3->second;
d477545505 2016-01-13        kinaba: 				auto xxx = *b3;
d477545505 2016-01-13        kinaba: 				iA.erase(b2);
d477545505 2016-01-13        kinaba: 				iA.erase(std::find(iA.begin(), iA.end(), xxx));
d477545505 2016-01-13        kinaba: 				swap(pA, pB);
d477545505 2016-01-13        kinaba: 				swap(xA, xB);
d477545505 2016-01-13        kinaba: 				swap(iA, iB);
d477545505 2016-01-13        kinaba: 			}
d477545505 2016-01-13        kinaba: 			ans[k] = pB*xB;
d477545505 2016-01-13        kinaba: 		}
d477545505 2016-01-13        kinaba: 		return ans;
d477545505 2016-01-13        kinaba: 	}
d477545505 2016-01-13        kinaba: };
d477545505 2016-01-13        kinaba: 
d477545505 2016-01-13        kinaba: // BEGIN CUT HERE
d477545505 2016-01-13        kinaba: #include <ctime>
d477545505 2016-01-13        kinaba: double start_time; string timer()
d477545505 2016-01-13        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
d477545505 2016-01-13        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
d477545505 2016-01-13        kinaba:  { os << "{ ";
d477545505 2016-01-13        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
d477545505 2016-01-13        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
d477545505 2016-01-13        kinaba: void verify_case(const vector <double>& Expected, const vector <double>& Received) {
d477545505 2016-01-13        kinaba:  bool ok = true;
d477545505 2016-01-13        kinaba:  for(int i=0; i<Expected.size(); ++i)
d477545505 2016-01-13        kinaba:    if( abs(Expected[i]-Received[i]) >= 1e-9 )
d477545505 2016-01-13        kinaba:      ok = false;
d477545505 2016-01-13        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
d477545505 2016-01-13        kinaba:  cerr << "\to: " << Expected << endl << "\tx: " << Received << endl; } }
d477545505 2016-01-13        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
d477545505 2016-01-13        kinaba: #define END	 verify_case(_, ReturnOfTheJedi().minimalExpectation(x, p));}
d477545505 2016-01-13        kinaba: int main(){
d477545505 2016-01-13        kinaba: 
d477545505 2016-01-13        kinaba: CASE(0)
d477545505 2016-01-13        kinaba: 	int x_[] = {100,200,300};
d477545505 2016-01-13        kinaba: 	  vector <int> x(x_, x_+sizeof(x_)/sizeof(*x_));
d477545505 2016-01-13        kinaba: 	int p_[] = {50000, 20000, 20000};
d477545505 2016-01-13        kinaba: 	  vector <int> p(p_, p_+sizeof(p_)/sizeof(*p_));
d477545505 2016-01-13        kinaba: 	double __[] = {40.0, 20.000000000000004, 12.000000000000002 };
d477545505 2016-01-13        kinaba: 	  vector <double> _(__, __+sizeof(__)/sizeof(*__));
d477545505 2016-01-13        kinaba: END
d477545505 2016-01-13        kinaba: CASE(1)
d477545505 2016-01-13        kinaba: 	int x_[] = {200,100,500,300,400};
d477545505 2016-01-13        kinaba: 	  vector <int> x(x_, x_+sizeof(x_)/sizeof(*x_));
d477545505 2016-01-13        kinaba: 	int p_[] = {100000, 100000, 100000, 100000, 100000};
d477545505 2016-01-13        kinaba: 	  vector <int> p(p_, p_+sizeof(p_)/sizeof(*p_));
d477545505 2016-01-13        kinaba: 	double __[] = {100.0, 300.0, 600.0, 1000.0, 1500.0 };
d477545505 2016-01-13        kinaba: 	  vector <double> _(__, __+sizeof(__)/sizeof(*__));
d477545505 2016-01-13        kinaba: END
d477545505 2016-01-13        kinaba: CASE(2)
d477545505 2016-01-13        kinaba: 	int x_[] = {2,2,100,100};
d477545505 2016-01-13        kinaba: 	  vector <int> x(x_, x_+sizeof(x_)/sizeof(*x_));
d477545505 2016-01-13        kinaba: 	int p_[] = {100000,100000,10000,10000};
d477545505 2016-01-13        kinaba: 	  vector <int> p(p_, p_+sizeof(p_)/sizeof(*p_));
d477545505 2016-01-13        kinaba: 	double __[] = {2.0, 2.0000000000000004, 2.0200000000000005, 2.0400000000000005 };
d477545505 2016-01-13        kinaba: 	  vector <double> _(__, __+sizeof(__)/sizeof(*__));
d477545505 2016-01-13        kinaba: END
d477545505 2016-01-13        kinaba: CASE(3)
d477545505 2016-01-13        kinaba: 	int x_[] = {1,1,200,200};
d477545505 2016-01-13        kinaba: 	  vector <int> x(x_, x_+sizeof(x_)/sizeof(*x_));
d477545505 2016-01-13        kinaba: 	int p_[] = {100000,100000,10000,10000};
d477545505 2016-01-13        kinaba: 	  vector <int> p(p_, p_+sizeof(p_)/sizeof(*p_));
d477545505 2016-01-13        kinaba: 	double __[] = {1.0, 2.0, 4.010000000000001, 4.0200000000000005 };
d477545505 2016-01-13        kinaba: 	  vector <double> _(__, __+sizeof(__)/sizeof(*__));
d477545505 2016-01-13        kinaba: END
d477545505 2016-01-13        kinaba: CASE(4)
d477545505 2016-01-13        kinaba: 	int x_[] = {1000000000,1000000000,1000000000,1000000000,1000000000,1000000000,1000000000,1000000000,1000000000,1000000000};
d477545505 2016-01-13        kinaba: 	  vector <int> x(x_, x_+sizeof(x_)/sizeof(*x_));
d477545505 2016-01-13        kinaba: 	int p_[] = {90000,90000,90000,90000,90000,90000,90000,90000,90000,90000};
d477545505 2016-01-13        kinaba: 	  vector <int> p(p_, p_+sizeof(p_)/sizeof(*p_));
d477545505 2016-01-13        kinaba: 	double __[] = {9.0E8, 1.62E9, 2.1870000000000005E9, 2.6244000000000005E9, 2.952450000000001E9, 3.188646000000001E9, 3.348078300000001E9, 3.4437376800000014E9, 3.4867844010000014E9, 3.4867844010000014E9 };
d477545505 2016-01-13        kinaba: 	  vector <double> _(__, __+sizeof(__)/sizeof(*__));
d477545505 2016-01-13        kinaba: END
d477545505 2016-01-13        kinaba: /*
d477545505 2016-01-13        kinaba: CASE(5)
d477545505 2016-01-13        kinaba: 	int x_[] = ;
d477545505 2016-01-13        kinaba: 	  vector <int> x(x_, x_+sizeof(x_)/sizeof(*x_));
d477545505 2016-01-13        kinaba: 	int p_[] = ;
d477545505 2016-01-13        kinaba: 	  vector <int> p(p_, p_+sizeof(p_)/sizeof(*p_));
d477545505 2016-01-13        kinaba: 	double __[] = ;
d477545505 2016-01-13        kinaba: 	  vector <double> _(__, __+sizeof(__)/sizeof(*__));
d477545505 2016-01-13        kinaba: END
d477545505 2016-01-13        kinaba: CASE(6)
d477545505 2016-01-13        kinaba: 	int x_[] = ;
d477545505 2016-01-13        kinaba: 	  vector <int> x(x_, x_+sizeof(x_)/sizeof(*x_));
d477545505 2016-01-13        kinaba: 	int p_[] = ;
d477545505 2016-01-13        kinaba: 	  vector <int> p(p_, p_+sizeof(p_)/sizeof(*p_));
d477545505 2016-01-13        kinaba: 	double __[] = ;
d477545505 2016-01-13        kinaba: 	  vector <double> _(__, __+sizeof(__)/sizeof(*__));
d477545505 2016-01-13        kinaba: END
d477545505 2016-01-13        kinaba: */
d477545505 2016-01-13        kinaba: }
d477545505 2016-01-13        kinaba: // END CUT HERE