744af0f22d 2014-07-26        kinaba: #include <iostream>
744af0f22d 2014-07-26        kinaba: #include <sstream>
744af0f22d 2014-07-26        kinaba: #include <iomanip>
744af0f22d 2014-07-26        kinaba: #include <vector>
744af0f22d 2014-07-26        kinaba: #include <string>
744af0f22d 2014-07-26        kinaba: #include <map>
744af0f22d 2014-07-26        kinaba: #include <set>
744af0f22d 2014-07-26        kinaba: #include <algorithm>
744af0f22d 2014-07-26        kinaba: #include <numeric>
744af0f22d 2014-07-26        kinaba: #include <iterator>
744af0f22d 2014-07-26        kinaba: #include <functional>
744af0f22d 2014-07-26        kinaba: #include <complex>
744af0f22d 2014-07-26        kinaba: #include <queue>
744af0f22d 2014-07-26        kinaba: #include <stack>
744af0f22d 2014-07-26        kinaba: #include <cmath>
744af0f22d 2014-07-26        kinaba: #include <cassert>
744af0f22d 2014-07-26        kinaba: #include <tuple>
744af0f22d 2014-07-26        kinaba: using namespace std;
744af0f22d 2014-07-26        kinaba: typedef long long LL;
744af0f22d 2014-07-26        kinaba: typedef complex<double> CMP;
744af0f22d 2014-07-26        kinaba: 
744af0f22d 2014-07-26        kinaba: class DoraemonPuzzleGame { public:
744af0f22d 2014-07-26        kinaba: 	double solve(vector <int> X, vector <int> Y, int m)
744af0f22d 2014-07-26        kinaba: 	{
744af0f22d 2014-07-26        kinaba: 		int N = X.size(), M = m;
744af0f22d 2014-07-26        kinaba: 		vector<tuple<double,double,double>> P;
744af0f22d 2014-07-26        kinaba: 		for(int i=0; i<N; ++i)
744af0f22d 2014-07-26        kinaba: 			P.emplace_back(
744af0f22d 2014-07-26        kinaba: 				(1000-X[i]-Y[i])*0.001,
744af0f22d 2014-07-26        kinaba: 				X[i]*0.001,
744af0f22d 2014-07-26        kinaba: 				Y[i]*0.001
744af0f22d 2014-07-26        kinaba: 			);
744af0f22d 2014-07-26        kinaba: 		sort(P.begin(), P.end(), [&](const tuple<double,double,double>& lhs, const tuple<double,double,double>& rhs){
744af0f22d 2014-07-26        kinaba: 			if(get<2>(lhs) != get<2>(rhs)) return get<2>(lhs) > get<2>(rhs);
744af0f22d 2014-07-26        kinaba: 			if(get<1>(lhs) != get<1>(rhs)) return get<1>(lhs) > get<1>(rhs);
744af0f22d 2014-07-26        kinaba: 			return get<0>(lhs) > get<0>(rhs);
744af0f22d 2014-07-26        kinaba: 		});
744af0f22d 2014-07-26        kinaba: 		return solve(M-N, P);
744af0f22d 2014-07-26        kinaba: 	}
744af0f22d 2014-07-26        kinaba: 
744af0f22d 2014-07-26        kinaba: 	double solve(int Extra, const vector<tuple<double,double,double>>& P)
744af0f22d 2014-07-26        kinaba: 	{
744af0f22d 2014-07-26        kinaba: 		double eee = 0.0;
744af0f22d 2014-07-26        kinaba: 		for(int eff=0; eff<=P.size(); ++eff)
744af0f22d 2014-07-26        kinaba: 		{
744af0f22d 2014-07-26        kinaba: 			double e_clear = 0.0;
744af0f22d 2014-07-26        kinaba: 			vector<double> adv(1, 1.0);  // adv[0] = 1.0;
744af0f22d 2014-07-26        kinaba: 			for(int i=0; i<P.size(); ++i) {
744af0f22d 2014-07-26        kinaba: 				double p1 = get<1>(P[i]);
744af0f22d 2014-07-26        kinaba: 				double p2 = get<2>(P[i]);
744af0f22d 2014-07-26        kinaba: 				if(i<eff) {
744af0f22d 2014-07-26        kinaba: 					e_clear += 1/p2;
744af0f22d 2014-07-26        kinaba: 				} else {
744af0f22d 2014-07-26        kinaba: 					double p = p1 + p2;
744af0f22d 2014-07-26        kinaba: 					e_clear += 1/p;
744af0f22d 2014-07-26        kinaba: 
744af0f22d 2014-07-26        kinaba: 					vector<double> a2(adv.size()+1);
744af0f22d 2014-07-26        kinaba: 					for(int i=0; i<adv.size(); ++i) {
744af0f22d 2014-07-26        kinaba: 						a2[i] += adv[i] * p1/p;
744af0f22d 2014-07-26        kinaba: 						a2[i+1] += adv[i] * p2/p;
744af0f22d 2014-07-26        kinaba: 					}
744af0f22d 2014-07-26        kinaba: 					adv = a2;
744af0f22d 2014-07-26        kinaba: 				}
744af0f22d 2014-07-26        kinaba: 			}
744af0f22d 2014-07-26        kinaba: 
744af0f22d 2014-07-26        kinaba: 			if(Extra <= eff) {
744af0f22d 2014-07-26        kinaba: 				best = min(best, e_clear);
744af0f22d 2014-07-26        kinaba: 			} else {
744af0f22d 2014-07-26        kinaba: 				best = min(best,
744af0f22d 2014-07-26        kinaba: 			}
744af0f22d 2014-07-26        kinaba: 		}
744af0f22d 2014-07-26        kinaba: 		return eee;
744af0f22d 2014-07-26        kinaba: 	}
744af0f22d 2014-07-26        kinaba: };
744af0f22d 2014-07-26        kinaba: 
744af0f22d 2014-07-26        kinaba: // BEGIN CUT HERE
744af0f22d 2014-07-26        kinaba: #include <ctime>
744af0f22d 2014-07-26        kinaba: double start_time; string timer()
744af0f22d 2014-07-26        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
744af0f22d 2014-07-26        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
744af0f22d 2014-07-26        kinaba:  { os << "{ ";
744af0f22d 2014-07-26        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
744af0f22d 2014-07-26        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
744af0f22d 2014-07-26        kinaba: void verify_case(const double& Expected, const double& Received) {
744af0f22d 2014-07-26        kinaba:  bool ok = (abs(Expected - Received) < 1e-9);
744af0f22d 2014-07-26        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
744af0f22d 2014-07-26        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
744af0f22d 2014-07-26        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
744af0f22d 2014-07-26        kinaba: #define END	 verify_case(_, DoraemonPuzzleGame().solve(X, Y, m));}
744af0f22d 2014-07-26        kinaba: int main(){
744af0f22d 2014-07-26        kinaba: 
744af0f22d 2014-07-26        kinaba: CASE(0)
744af0f22d 2014-07-26        kinaba: 	int X_[] = {800};
744af0f22d 2014-07-26        kinaba: 	  vector <int> X(X_, X_+sizeof(X_)/sizeof(*X_));
744af0f22d 2014-07-26        kinaba: 	int Y_[] = {200};
744af0f22d 2014-07-26        kinaba: 	  vector <int> Y(Y_, Y_+sizeof(Y_)/sizeof(*Y_));
744af0f22d 2014-07-26        kinaba: 	int m = 2;
744af0f22d 2014-07-26        kinaba: 	double _ = 5.0;
744af0f22d 2014-07-26        kinaba: END
744af0f22d 2014-07-26        kinaba: CASE(1)
744af0f22d 2014-07-26        kinaba: 	int X_[] = {1,999,999};
744af0f22d 2014-07-26        kinaba: 	  vector <int> X(X_, X_+sizeof(X_)/sizeof(*X_));
744af0f22d 2014-07-26        kinaba: 	int Y_[] = {999,1,1};
744af0f22d 2014-07-26        kinaba: 	  vector <int> Y(Y_, Y_+sizeof(Y_)/sizeof(*Y_));
744af0f22d 2014-07-26        kinaba: 	int m = 3;
744af0f22d 2014-07-26        kinaba: 	double _ = 3.0;
744af0f22d 2014-07-26        kinaba: END
744af0f22d 2014-07-26        kinaba: CASE(2)
744af0f22d 2014-07-26        kinaba: 	int X_[] = {500,500};
744af0f22d 2014-07-26        kinaba: 	  vector <int> X(X_, X_+sizeof(X_)/sizeof(*X_));
744af0f22d 2014-07-26        kinaba: 	int Y_[] = {500,500};
744af0f22d 2014-07-26        kinaba: 	  vector <int> Y(Y_, Y_+sizeof(Y_)/sizeof(*Y_));
744af0f22d 2014-07-26        kinaba: 	int m = 3;
744af0f22d 2014-07-26        kinaba: 	double _ = 2.5;
744af0f22d 2014-07-26        kinaba: END
744af0f22d 2014-07-26        kinaba: CASE(3)
744af0f22d 2014-07-26        kinaba: 	int X_[] = {250,250,250,250};
744af0f22d 2014-07-26        kinaba: 	  vector <int> X(X_, X_+sizeof(X_)/sizeof(*X_));
744af0f22d 2014-07-26        kinaba: 	int Y_[] = {250,250,250,250};
744af0f22d 2014-07-26        kinaba: 	  vector <int> Y(Y_, Y_+sizeof(Y_)/sizeof(*Y_));
744af0f22d 2014-07-26        kinaba: 	int m = 5;
744af0f22d 2014-07-26        kinaba: 	double _ = 8.25;
744af0f22d 2014-07-26        kinaba: END
744af0f22d 2014-07-26        kinaba: CASE(4)
744af0f22d 2014-07-26        kinaba: 	int X_[] = {250,500,250};
744af0f22d 2014-07-26        kinaba: 	  vector <int> X(X_, X_+sizeof(X_)/sizeof(*X_));
744af0f22d 2014-07-26        kinaba: 	int Y_[] = {500,250,500};
744af0f22d 2014-07-26        kinaba: 	  vector <int> Y(Y_, Y_+sizeof(Y_)/sizeof(*Y_));
744af0f22d 2014-07-26        kinaba: 	int m = 5;
744af0f22d 2014-07-26        kinaba: 	double _ = 4.962962962962963;
744af0f22d 2014-07-26        kinaba: END
744af0f22d 2014-07-26        kinaba: CASE(5)
744af0f22d 2014-07-26        kinaba: 	int X_[] = {600,900,800,500,900,200,400,100,800,300,900,300,800,700,800,600,800,900,400,100,100,700,600,100,500,
744af0f22d 2014-07-26        kinaba: 800,700,600,900,600,300,100,300,100,700,500,900,200,800,400,300,700,300,400,700,300,400,800,300,200};
744af0f22d 2014-07-26        kinaba: 	  vector <int> X(X_, X_+sizeof(X_)/sizeof(*X_));
744af0f22d 2014-07-26        kinaba: 	int Y_[] = {400,100,200,500,100,800,600,900,200,700,100,700,200,300,200,400,200,100,600,900,900,300,400,900,500,
744af0f22d 2014-07-26        kinaba: 200,300,400,100,400,700,900,700,900,300,500,100,800,200,600,700,300,700,600,300,700,600,200,700,800};
744af0f22d 2014-07-26        kinaba: 	  vector <int> Y(Y_, Y_+sizeof(Y_)/sizeof(*Y_));
744af0f22d 2014-07-26        kinaba: 	int m = 95;
744af0f22d 2014-07-26        kinaba: 	double _ = 119.33578280666175;
744af0f22d 2014-07-26        kinaba: END
744af0f22d 2014-07-26        kinaba: /*
744af0f22d 2014-07-26        kinaba: CASE(6)
744af0f22d 2014-07-26        kinaba: 	int X_[] = ;
744af0f22d 2014-07-26        kinaba: 	  vector <int> X(X_, X_+sizeof(X_)/sizeof(*X_));
744af0f22d 2014-07-26        kinaba: 	int Y_[] = ;
744af0f22d 2014-07-26        kinaba: 	  vector <int> Y(Y_, Y_+sizeof(Y_)/sizeof(*Y_));
744af0f22d 2014-07-26        kinaba: 	int m = ;
744af0f22d 2014-07-26        kinaba: 	double _ = ;
744af0f22d 2014-07-26        kinaba: END
744af0f22d 2014-07-26        kinaba: CASE(7)
744af0f22d 2014-07-26        kinaba: 	int X_[] = ;
744af0f22d 2014-07-26        kinaba: 	  vector <int> X(X_, X_+sizeof(X_)/sizeof(*X_));
744af0f22d 2014-07-26        kinaba: 	int Y_[] = ;
744af0f22d 2014-07-26        kinaba: 	  vector <int> Y(Y_, Y_+sizeof(Y_)/sizeof(*Y_));
744af0f22d 2014-07-26        kinaba: 	int m = ;
744af0f22d 2014-07-26        kinaba: 	double _ = ;
744af0f22d 2014-07-26        kinaba: END
744af0f22d 2014-07-26        kinaba: */
744af0f22d 2014-07-26        kinaba: }
744af0f22d 2014-07-26        kinaba: // END CUT HERE