Artifact 3ac34d38668840d0c3b7c66280f7a3e3b0a48964
#include <iostream>
#include <sstream>
#include <iomanip>
#include <vector>
#include <string>
#include <map>
#include <set>
#include <algorithm>
#include <numeric>
#include <iterator>
#include <functional>
#include <complex>
#include <queue>
#include <stack>
#include <cmath>
#include <cassert>
#include <cstring>
using namespace std;
typedef long long LL;
typedef complex<double> CMP;
class AgeEncoding { public:
double getRadix(int age, string c)
{
int i = c.find('1');
if( i==string::npos ) i = c.size();
c = c.substr(i);
int N = c.size();
if( N == 0 )
return -1;
if( N == 1 )
return (age==1 ? -2 : -1);
if( age == 1 && c[N-1]=='1' )
return -1;
double L=0, R=1;
for(;;R*=2){
double fR = 0.0;
for(int i=0; i<N; ++i)
fR +=pow(R,i)*(c[N-1-i]=='1');
if(fR>age)
break;
}
for(int i=0; i<1000; ++i)
{
double C = (L+R)/2;
double fL = 0.0;
for(int i=0; i<N; ++i)
fL +=pow(L,i)*(c[N-1-i]=='1');
double fR = 0.0;
for(int i=0; i<N; ++i)
fR +=pow(R,i)*(c[N-1-i]=='1');
double fC = 0.0;
for(int i=0; i<N; ++i)
fC +=pow(C,i)*(c[N-1-i]=='1');
(age < fC ? R : L) = C;
}
return R;
}
};
// BEGIN CUT HERE
#include <ctime>
double start_time; string timer()
{ ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
{ os << "{ ";
for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
void verify_case(const double& Expected, const double& Received) {
double diff = Expected - Received; if (diff < 0) diff = -diff; bool ok = (diff < 1e-9);
if(ok) cerr << "PASSED" << timer() << endl; else { cerr << "FAILED" << timer() << endl;
cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
#define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
#define END verify_case(_, AgeEncoding().getRadix(age, candlesLine));}
int main(){
CASE(0)
int age = 10;
string candlesLine = "00010";
double _ = 10.0;
END
CASE(1)
int age = 21;
string candlesLine = "10101";
double _ = 2.0;
END
CASE(2)
int age = 6;
string candlesLine = "10100";
double _ = 1.414213562373095;
END
CASE(3)
int age = 21;
string candlesLine = "10111111110111101111111100111111110111111111111100";
double _ = 0.9685012944510603;
END
CASE(4)
int age = 16;
string candlesLine = "1";
double _ = -1.0;
END
CASE(5)
int age = 1;
string candlesLine = "1";
double _ = -2.0;
END
CASE(6)
int age = 1;
string candlesLine = "001000";
double _ = 1.0;
END
CASE(7)
int age = 1;
string candlesLine = "110";
double _ = (sqrt(5)-1)/2;
END
CASE(8)
int age = 1;
string candlesLine = "0000";
double _ = -1;
END
CASE(9)
int age = 1;
string candlesLine = "11";
double _ = -1;
END
CASE(10)
int age = 1;
string candlesLine = "11";
double _ = -1;
END
}
// END CUT HERE