4fd800b3a8 2011-02-23        kinaba: #include <iostream>
4fd800b3a8 2011-02-23        kinaba: #include <sstream>
4fd800b3a8 2011-02-23        kinaba: #include <iomanip>
4fd800b3a8 2011-02-23        kinaba: #include <vector>
4fd800b3a8 2011-02-23        kinaba: #include <string>
4fd800b3a8 2011-02-23        kinaba: #include <map>
4fd800b3a8 2011-02-23        kinaba: #include <set>
4fd800b3a8 2011-02-23        kinaba: #include <algorithm>
4fd800b3a8 2011-02-23        kinaba: #include <numeric>
4fd800b3a8 2011-02-23        kinaba: #include <iterator>
4fd800b3a8 2011-02-23        kinaba: #include <functional>
4fd800b3a8 2011-02-23        kinaba: #include <complex>
4fd800b3a8 2011-02-23        kinaba: #include <queue>
4fd800b3a8 2011-02-23        kinaba: #include <stack>
4fd800b3a8 2011-02-23        kinaba: #include <cmath>
4fd800b3a8 2011-02-23        kinaba: #include <cassert>
4fd800b3a8 2011-02-23        kinaba: #include <cstring>
4fd800b3a8 2011-02-23        kinaba: using namespace std;
4fd800b3a8 2011-02-23        kinaba: typedef long long LL;
4fd800b3a8 2011-02-23        kinaba: typedef complex<double> CMP;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: class AgeEncoding { public:
4fd800b3a8 2011-02-23        kinaba: 	double getRadix(int age, string c)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		int i = c.find('1');
4fd800b3a8 2011-02-23        kinaba: 		if( i==string::npos ) i = c.size();
4fd800b3a8 2011-02-23        kinaba: 		c = c.substr(i);
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		int N = c.size();
4fd800b3a8 2011-02-23        kinaba: 		if( N == 0 )
4fd800b3a8 2011-02-23        kinaba: 			return -1;
4fd800b3a8 2011-02-23        kinaba: 		if( N == 1 )
4fd800b3a8 2011-02-23        kinaba: 			return (age==1 ? -2 : -1);
4fd800b3a8 2011-02-23        kinaba: 		if( age == 1 && c[N-1]=='1' )
4fd800b3a8 2011-02-23        kinaba: 			return -1;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		double L=0, R=1;
4fd800b3a8 2011-02-23        kinaba: 		for(;;R*=2){
4fd800b3a8 2011-02-23        kinaba: 			double fR = 0.0;
4fd800b3a8 2011-02-23        kinaba: 			for(int i=0; i<N; ++i)
4fd800b3a8 2011-02-23        kinaba: 				fR +=pow(R,i)*(c[N-1-i]=='1');
4fd800b3a8 2011-02-23        kinaba: 			if(fR>age)
4fd800b3a8 2011-02-23        kinaba: 				break;
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		for(int i=0; i<1000; ++i)
4fd800b3a8 2011-02-23        kinaba: 		{
4fd800b3a8 2011-02-23        kinaba: 			double C = (L+R)/2;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 			double fL = 0.0;
4fd800b3a8 2011-02-23        kinaba: 			for(int i=0; i<N; ++i)
4fd800b3a8 2011-02-23        kinaba: 				fL +=pow(L,i)*(c[N-1-i]=='1');
4fd800b3a8 2011-02-23        kinaba: 			double fR = 0.0;
4fd800b3a8 2011-02-23        kinaba: 			for(int i=0; i<N; ++i)
4fd800b3a8 2011-02-23        kinaba: 				fR +=pow(R,i)*(c[N-1-i]=='1');
4fd800b3a8 2011-02-23        kinaba: 			double fC = 0.0;
4fd800b3a8 2011-02-23        kinaba: 			for(int i=0; i<N; ++i)
4fd800b3a8 2011-02-23        kinaba: 				fC +=pow(C,i)*(c[N-1-i]=='1');
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 			(age < fC ? R : L) = C;
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 		return R;
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: };
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: // BEGIN CUT HERE
4fd800b3a8 2011-02-23        kinaba: #include <ctime>
4fd800b3a8 2011-02-23        kinaba: double start_time; string timer()
4fd800b3a8 2011-02-23        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
4fd800b3a8 2011-02-23        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
4fd800b3a8 2011-02-23        kinaba:  { os << "{ ";
4fd800b3a8 2011-02-23        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
4fd800b3a8 2011-02-23        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
4fd800b3a8 2011-02-23        kinaba: void verify_case(const double& Expected, const double& Received) {
4fd800b3a8 2011-02-23        kinaba:  double diff = Expected - Received; if (diff < 0) diff = -diff; bool ok = (diff < 1e-9);
4fd800b3a8 2011-02-23        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
4fd800b3a8 2011-02-23        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
4fd800b3a8 2011-02-23        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
4fd800b3a8 2011-02-23        kinaba: #define END	 verify_case(_, AgeEncoding().getRadix(age, candlesLine));}
4fd800b3a8 2011-02-23        kinaba: int main(){
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: CASE(0)
4fd800b3a8 2011-02-23        kinaba: 	int age = 10;
4fd800b3a8 2011-02-23        kinaba: 	string candlesLine = "00010";
4fd800b3a8 2011-02-23        kinaba: 	double _ = 10.0;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(1)
4fd800b3a8 2011-02-23        kinaba: 	int age = 21;
4fd800b3a8 2011-02-23        kinaba: 	string candlesLine = "10101";
4fd800b3a8 2011-02-23        kinaba: 	double _ = 2.0;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(2)
4fd800b3a8 2011-02-23        kinaba: 	int age = 6;
4fd800b3a8 2011-02-23        kinaba: 	string candlesLine = "10100";
4fd800b3a8 2011-02-23        kinaba: 	double _ = 1.414213562373095;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(3)
4fd800b3a8 2011-02-23        kinaba: 	int age = 21;
4fd800b3a8 2011-02-23        kinaba: 	string candlesLine = "10111111110111101111111100111111110111111111111100";
4fd800b3a8 2011-02-23        kinaba: 	double _ = 0.9685012944510603;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(4)
4fd800b3a8 2011-02-23        kinaba: 	int age = 16;
4fd800b3a8 2011-02-23        kinaba: 	string candlesLine = "1";
4fd800b3a8 2011-02-23        kinaba: 	double _ = -1.0;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(5)
4fd800b3a8 2011-02-23        kinaba: 	int age = 1;
4fd800b3a8 2011-02-23        kinaba: 	string candlesLine = "1";
4fd800b3a8 2011-02-23        kinaba: 	double _ = -2.0;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(6)
4fd800b3a8 2011-02-23        kinaba: 	int age = 1;
4fd800b3a8 2011-02-23        kinaba: 	string candlesLine = "001000";
4fd800b3a8 2011-02-23        kinaba: 	double _ = 1.0;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(7)
4fd800b3a8 2011-02-23        kinaba: 	int age = 1;
4fd800b3a8 2011-02-23        kinaba: 	string candlesLine = "110";
4fd800b3a8 2011-02-23        kinaba: 	double _ = (sqrt(5)-1)/2;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(8)
4fd800b3a8 2011-02-23        kinaba: 	int age = 1;
4fd800b3a8 2011-02-23        kinaba: 	string candlesLine = "0000";
4fd800b3a8 2011-02-23        kinaba: 	double _ = -1;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(9)
4fd800b3a8 2011-02-23        kinaba: 	int age = 1;
4fd800b3a8 2011-02-23        kinaba: 	string candlesLine = "11";
4fd800b3a8 2011-02-23        kinaba: 	double _ = -1;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(10)
4fd800b3a8 2011-02-23        kinaba: 	int age = 1;
4fd800b3a8 2011-02-23        kinaba: 	string candlesLine = "11";
4fd800b3a8 2011-02-23        kinaba: 	double _ = -1;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: }
4fd800b3a8 2011-02-23        kinaba: // END CUT HERE