90dd89d9af 2012-03-17        kinaba: #include <iostream>
90dd89d9af 2012-03-17        kinaba: #include <sstream>
90dd89d9af 2012-03-17        kinaba: #include <iomanip>
90dd89d9af 2012-03-17        kinaba: #include <vector>
90dd89d9af 2012-03-17        kinaba: #include <string>
90dd89d9af 2012-03-17        kinaba: #include <map>
90dd89d9af 2012-03-17        kinaba: #include <set>
90dd89d9af 2012-03-17        kinaba: #include <algorithm>
90dd89d9af 2012-03-17        kinaba: #include <numeric>
90dd89d9af 2012-03-17        kinaba: #include <iterator>
90dd89d9af 2012-03-17        kinaba: #include <functional>
90dd89d9af 2012-03-17        kinaba: #include <complex>
90dd89d9af 2012-03-17        kinaba: #include <queue>
90dd89d9af 2012-03-17        kinaba: #include <stack>
90dd89d9af 2012-03-17        kinaba: #include <cmath>
90dd89d9af 2012-03-17        kinaba: #include <cassert>
90dd89d9af 2012-03-17        kinaba: #include <cstring>
90dd89d9af 2012-03-17        kinaba: #ifdef __GNUC__
90dd89d9af 2012-03-17        kinaba: #include <ext/hash_map>
90dd89d9af 2012-03-17        kinaba: #define unordered_map __gnu_cxx::hash_map
90dd89d9af 2012-03-17        kinaba: #else
90dd89d9af 2012-03-17        kinaba: #include <unordered_map>
90dd89d9af 2012-03-17        kinaba: #endif
90dd89d9af 2012-03-17        kinaba: using namespace std;
90dd89d9af 2012-03-17        kinaba: typedef long long LL;
90dd89d9af 2012-03-17        kinaba: typedef complex<double> CMP;
90dd89d9af 2012-03-17        kinaba: 
90dd89d9af 2012-03-17        kinaba: class MergersDivOne { public:
90dd89d9af 2012-03-17        kinaba: 	double findMaximum(vector <int> revenues)
90dd89d9af 2012-03-17        kinaba: 	{
90dd89d9af 2012-03-17        kinaba: 		vector<double> r(revenues.begin(), revenues.end());
90dd89d9af 2012-03-17        kinaba: 		sort(r.begin(), r.end());
90dd89d9af 2012-03-17        kinaba: 		return best(r, r.size());
90dd89d9af 2012-03-17        kinaba: 	}
90dd89d9af 2012-03-17        kinaba: 
90dd89d9af 2012-03-17        kinaba: 
90dd89d9af 2012-03-17        kinaba: 	map<int, double> memo;
90dd89d9af 2012-03-17        kinaba: 	double best(const vector<double>& r, int N)
90dd89d9af 2012-03-17        kinaba: 	{
90dd89d9af 2012-03-17        kinaba: 		if( N == 1 )
90dd89d9af 2012-03-17        kinaba: 			return r[0];
90dd89d9af 2012-03-17        kinaba: 		if( memo.count(N) )
90dd89d9af 2012-03-17        kinaba: 			return memo[N];
90dd89d9af 2012-03-17        kinaba: 
90dd89d9af 2012-03-17        kinaba: 		double score = -1e+100;
90dd89d9af 2012-03-17        kinaba: 		for(int k=1; k<N; ++k) {
90dd89d9af 2012-03-17        kinaba: 			double a = accumulate(r.begin()+k, r.begin()+N, best(r, k)) / (N-k+1);
90dd89d9af 2012-03-17        kinaba: 			score = max(score, a);
90dd89d9af 2012-03-17        kinaba: 		}
90dd89d9af 2012-03-17        kinaba: 		return memo[N] = score;
90dd89d9af 2012-03-17        kinaba: 	}
90dd89d9af 2012-03-17        kinaba: };
90dd89d9af 2012-03-17        kinaba: 
90dd89d9af 2012-03-17        kinaba: // BEGIN CUT HERE
90dd89d9af 2012-03-17        kinaba: #include <ctime>
90dd89d9af 2012-03-17        kinaba: double start_time; string timer()
90dd89d9af 2012-03-17        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
90dd89d9af 2012-03-17        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
90dd89d9af 2012-03-17        kinaba:  { os << "{ ";
90dd89d9af 2012-03-17        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
90dd89d9af 2012-03-17        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
90dd89d9af 2012-03-17        kinaba: void verify_case(const double& Expected, const double& Received) {
90dd89d9af 2012-03-17        kinaba:  bool ok = (abs(Expected - Received) < 1e-9);
90dd89d9af 2012-03-17        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
90dd89d9af 2012-03-17        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
90dd89d9af 2012-03-17        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
90dd89d9af 2012-03-17        kinaba: #define END	 verify_case(_, MergersDivOne().findMaximum(revenues));}
90dd89d9af 2012-03-17        kinaba: int main(){
90dd89d9af 2012-03-17        kinaba: 
90dd89d9af 2012-03-17        kinaba: CASE(0)
90dd89d9af 2012-03-17        kinaba: 	int revenues_[] = {5, -7, 3};
90dd89d9af 2012-03-17        kinaba: 	  vector <int> revenues(revenues_, revenues_+sizeof(revenues_)/sizeof(*revenues_));
90dd89d9af 2012-03-17        kinaba: 	double _ = 1.5;
90dd89d9af 2012-03-17        kinaba: END
90dd89d9af 2012-03-17        kinaba: CASE(1)
90dd89d9af 2012-03-17        kinaba: 	int revenues_[] = {10, -17};
90dd89d9af 2012-03-17        kinaba: 	  vector <int> revenues(revenues_, revenues_+sizeof(revenues_)/sizeof(*revenues_));
90dd89d9af 2012-03-17        kinaba: 	double _ = -3.5;
90dd89d9af 2012-03-17        kinaba: END
90dd89d9af 2012-03-17        kinaba: CASE(2)
90dd89d9af 2012-03-17        kinaba: 	int revenues_[] = {12, 12, 12, 12, 12};
90dd89d9af 2012-03-17        kinaba: 	  vector <int> revenues(revenues_, revenues_+sizeof(revenues_)/sizeof(*revenues_));
90dd89d9af 2012-03-17        kinaba: 	double _ = 12.0;
90dd89d9af 2012-03-17        kinaba: END
90dd89d9af 2012-03-17        kinaba: CASE(3)
90dd89d9af 2012-03-17        kinaba: 	int revenues_[] = {0, 0, 0, 0, 0, 100};
90dd89d9af 2012-03-17        kinaba: 	  vector <int> revenues(revenues_, revenues_+sizeof(revenues_)/sizeof(*revenues_));
90dd89d9af 2012-03-17        kinaba: 	double _ = 50.0;
90dd89d9af 2012-03-17        kinaba: END
90dd89d9af 2012-03-17        kinaba: CASE(4)
90dd89d9af 2012-03-17        kinaba: 	int revenues_[] = {10, -10, 100, -100, 1000, -1000};
90dd89d9af 2012-03-17        kinaba: 	  vector <int> revenues(revenues_, revenues_+sizeof(revenues_)/sizeof(*revenues_));
90dd89d9af 2012-03-17        kinaba: 	double _ = 491.25;
90dd89d9af 2012-03-17        kinaba: END
90dd89d9af 2012-03-17        kinaba: CASE(5)
90dd89d9af 2012-03-17        kinaba: int revenues_[] = {0,0,100,100};
90dd89d9af 2012-03-17        kinaba: 	  vector <int> revenues(revenues_, revenues_+sizeof(revenues_)/sizeof(*revenues_));
90dd89d9af 2012-03-17        kinaba: 	double _ = -1;
90dd89d9af 2012-03-17        kinaba: END
90dd89d9af 2012-03-17        kinaba: /*
90dd89d9af 2012-03-17        kinaba: CASE(6)
90dd89d9af 2012-03-17        kinaba: 	int revenues_[] = ;
90dd89d9af 2012-03-17        kinaba: 	  vector <int> revenues(revenues_, revenues_+sizeof(revenues_)/sizeof(*revenues_));
90dd89d9af 2012-03-17        kinaba: 	double _ = ;
90dd89d9af 2012-03-17        kinaba: END
90dd89d9af 2012-03-17        kinaba: */
90dd89d9af 2012-03-17        kinaba: }
90dd89d9af 2012-03-17        kinaba: // END CUT HERE