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fa5fb91aff 2011-12-28        kinaba: #include <iostream>
fa5fb91aff 2011-12-28        kinaba: #include <sstream>
fa5fb91aff 2011-12-28        kinaba: #include <iomanip>
fa5fb91aff 2011-12-28        kinaba: #include <vector>
fa5fb91aff 2011-12-28        kinaba: #include <string>
fa5fb91aff 2011-12-28        kinaba: #include <map>
fa5fb91aff 2011-12-28        kinaba: #include <set>
fa5fb91aff 2011-12-28        kinaba: #include <algorithm>
fa5fb91aff 2011-12-28        kinaba: #include <numeric>
fa5fb91aff 2011-12-28        kinaba: #include <iterator>
fa5fb91aff 2011-12-28        kinaba: #include <functional>
fa5fb91aff 2011-12-28        kinaba: #include <complex>
fa5fb91aff 2011-12-28        kinaba: #include <queue>
fa5fb91aff 2011-12-28        kinaba: #include <stack>
fa5fb91aff 2011-12-28        kinaba: #include <cmath>
fa5fb91aff 2011-12-28        kinaba: #include <cassert>
fa5fb91aff 2011-12-28        kinaba: #include <cstring>
fa5fb91aff 2011-12-28        kinaba: #ifdef __GNUC__
fa5fb91aff 2011-12-28        kinaba: #include <ext/hash_map>
fa5fb91aff 2011-12-28        kinaba: #define unordered_map __gnu_cxx::hash_map
fa5fb91aff 2011-12-28        kinaba: #else
fa5fb91aff 2011-12-28        kinaba: #include <unordered_map>
fa5fb91aff 2011-12-28        kinaba: #endif
fa5fb91aff 2011-12-28        kinaba: using namespace std;
fa5fb91aff 2011-12-28        kinaba: typedef long long LL;
fa5fb91aff 2011-12-28        kinaba: typedef complex<double> CMP;
fa5fb91aff 2011-12-28        kinaba: 
fa5fb91aff 2011-12-28        kinaba: class MagicBlizzard { public:
fa5fb91aff 2011-12-28        kinaba: 	double expectation(vector <int> range, vector <int> amount)
fa5fb91aff 2011-12-28        kinaba: 	{
fa5fb91aff 2011-12-28        kinaba: 		vector< pair<int,int> > ar;
fa5fb91aff 2011-12-28        kinaba: 		for(int i=0; i<range.size(); ++i)
fa5fb91aff 2011-12-28        kinaba: 			ar.push_back(make_pair(range[i], amount[i]));
fa5fb91aff 2011-12-28        kinaba: 
fa5fb91aff 2011-12-28        kinaba: 		sort(ar.begin(), ar.end());
fa5fb91aff 2011-12-28        kinaba: 		double total = 0.0;
fa5fb91aff 2011-12-28        kinaba: 		int cnt = 0;
fa5fb91aff 2011-12-28        kinaba: 		for(int i=0; i<ar.size(); ++i)
fa5fb91aff 2011-12-28        kinaba: 			for(int _=0; _<ar[i].second; ++_)
fa5fb91aff 2011-12-28        kinaba: 				total += 2.0 * (cnt++) / (ar[i].first*2+1) / (ar[i].first*2+1) + 1;
fa5fb91aff 2011-12-28        kinaba: 		return total;
fa5fb91aff 2011-12-28        kinaba: 	}
fa5fb91aff 2011-12-28        kinaba: };
fa5fb91aff 2011-12-28        kinaba: 
fa5fb91aff 2011-12-28        kinaba: // BEGIN CUT HERE
fa5fb91aff 2011-12-28        kinaba: #include <ctime>
fa5fb91aff 2011-12-28        kinaba: double start_time; string timer()
fa5fb91aff 2011-12-28        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
fa5fb91aff 2011-12-28        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
fa5fb91aff 2011-12-28        kinaba:  { os << "{ ";
fa5fb91aff 2011-12-28        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
fa5fb91aff 2011-12-28        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
fa5fb91aff 2011-12-28        kinaba: void verify_case(const double& Expected, const double& Received) {
fa5fb91aff 2011-12-28        kinaba:  bool ok = (abs(Expected - Received) < 1e-9);
fa5fb91aff 2011-12-28        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
fa5fb91aff 2011-12-28        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
fa5fb91aff 2011-12-28        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
fa5fb91aff 2011-12-28        kinaba: #define END	 verify_case(_, MagicBlizzard().expectation(range, amount));}
fa5fb91aff 2011-12-28        kinaba: int main(){
fa5fb91aff 2011-12-28        kinaba: 
fa5fb91aff 2011-12-28        kinaba: CASE(0)
fa5fb91aff 2011-12-28        kinaba: 	int range_[] = {1,0};
fa5fb91aff 2011-12-28        kinaba: 	  vector <int> range(range_, range_+sizeof(range_)/sizeof(*range_));
fa5fb91aff 2011-12-28        kinaba: 	int amount_[] = {1,1};
fa5fb91aff 2011-12-28        kinaba: 	  vector <int> amount(amount_, amount_+sizeof(amount_)/sizeof(*amount_));
fa5fb91aff 2011-12-28        kinaba: 	double _ = 2.2222222222222223;
fa5fb91aff 2011-12-28        kinaba: END
fa5fb91aff 2011-12-28        kinaba: CASE(1)
fa5fb91aff 2011-12-28        kinaba: 	int range_[] = {1,0};
fa5fb91aff 2011-12-28        kinaba: 	  vector <int> range(range_, range_+sizeof(range_)/sizeof(*range_));
fa5fb91aff 2011-12-28        kinaba: 	int amount_[] = {2,1};
fa5fb91aff 2011-12-28        kinaba: 	  vector <int> amount(amount_, amount_+sizeof(amount_)/sizeof(*amount_));
fa5fb91aff 2011-12-28        kinaba: 	double _ = 3.666666666666667;
fa5fb91aff 2011-12-28        kinaba: END
fa5fb91aff 2011-12-28        kinaba: CASE(2)
fa5fb91aff 2011-12-28        kinaba: 	int range_[] = {5,2,6,5};
fa5fb91aff 2011-12-28        kinaba: 	  vector <int> range(range_, range_+sizeof(range_)/sizeof(*range_));
fa5fb91aff 2011-12-28        kinaba: 	int amount_[] = {1,2,2,3};
fa5fb91aff 2011-12-28        kinaba: 	  vector <int> amount(amount_, amount_+sizeof(amount_)/sizeof(*amount_));
fa5fb91aff 2011-12-28        kinaba: 	double _ = 8.46525111252384;
fa5fb91aff 2011-12-28        kinaba: END
fa5fb91aff 2011-12-28        kinaba: CASE(3)
fa5fb91aff 2011-12-28        kinaba: 	int range_[] = {7,11,2,13,3,19,5,17};
fa5fb91aff 2011-12-28        kinaba: 	  vector <int> range(range_, range_+sizeof(range_)/sizeof(*range_));
fa5fb91aff 2011-12-28        kinaba: 	int amount_[] = {16,8,4,15,12,9,10,6};
fa5fb91aff 2011-12-28        kinaba: 	  vector <int> amount(amount_, amount_+sizeof(amount_)/sizeof(*amount_));
fa5fb91aff 2011-12-28        kinaba: 	double _ = 98.55659436211914;
fa5fb91aff 2011-12-28        kinaba: END
fa5fb91aff 2011-12-28        kinaba: CASE(4)
fa5fb91aff 2011-12-28        kinaba: 	int range_[] = {0,0,0,0,0,0,0,0,0,0};
fa5fb91aff 2011-12-28        kinaba: 	  vector <int> range(range_, range_+sizeof(range_)/sizeof(*range_));
fa5fb91aff 2011-12-28        kinaba: 	int amount_[] = {10000,10000,10000,10000,10000,10000,10000,10000,10000,10000};
fa5fb91aff 2011-12-28        kinaba: 	  vector <int> amount(amount_, amount_+sizeof(amount_)/sizeof(*amount_));
fa5fb91aff 2011-12-28        kinaba: 	double _ = 1.0E10;
fa5fb91aff 2011-12-28        kinaba: END
fa5fb91aff 2011-12-28        kinaba: /*
fa5fb91aff 2011-12-28        kinaba: CASE(5)
fa5fb91aff 2011-12-28        kinaba: 	int range_[] = ;
fa5fb91aff 2011-12-28        kinaba: 	  vector <int> range(range_, range_+sizeof(range_)/sizeof(*range_));
fa5fb91aff 2011-12-28        kinaba: 	int amount_[] = ;
fa5fb91aff 2011-12-28        kinaba: 	  vector <int> amount(amount_, amount_+sizeof(amount_)/sizeof(*amount_));
fa5fb91aff 2011-12-28        kinaba: 	double _ = ;
fa5fb91aff 2011-12-28        kinaba: END
fa5fb91aff 2011-12-28        kinaba: CASE(6)
fa5fb91aff 2011-12-28        kinaba: 	int range_[] = ;
fa5fb91aff 2011-12-28        kinaba: 	  vector <int> range(range_, range_+sizeof(range_)/sizeof(*range_));
fa5fb91aff 2011-12-28        kinaba: 	int amount_[] = ;
fa5fb91aff 2011-12-28        kinaba: 	  vector <int> amount(amount_, amount_+sizeof(amount_)/sizeof(*amount_));
fa5fb91aff 2011-12-28        kinaba: 	double _ = ;
fa5fb91aff 2011-12-28        kinaba: END
fa5fb91aff 2011-12-28        kinaba: */
fa5fb91aff 2011-12-28        kinaba: }
fa5fb91aff 2011-12-28        kinaba: // END CUT HERE