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96fdfab500 2011-03-20        kinaba: #include <iostream>
96fdfab500 2011-03-20        kinaba: #include <sstream>
96fdfab500 2011-03-20        kinaba: #include <iomanip>
96fdfab500 2011-03-20        kinaba: #include <vector>
96fdfab500 2011-03-20        kinaba: #include <string>
96fdfab500 2011-03-20        kinaba: #include <map>
96fdfab500 2011-03-20        kinaba: #include <set>
96fdfab500 2011-03-20        kinaba: #include <algorithm>
96fdfab500 2011-03-20        kinaba: #include <numeric>
96fdfab500 2011-03-20        kinaba: #include <iterator>
96fdfab500 2011-03-20        kinaba: #include <functional>
96fdfab500 2011-03-20        kinaba: #include <complex>
96fdfab500 2011-03-20        kinaba: #include <queue>
96fdfab500 2011-03-20        kinaba: #include <stack>
96fdfab500 2011-03-20        kinaba: #include <cmath>
96fdfab500 2011-03-20        kinaba: #include <cassert>
96fdfab500 2011-03-20        kinaba: #include <cstring>
96fdfab500 2011-03-20        kinaba: using namespace std;
96fdfab500 2011-03-20        kinaba: typedef long long LL;
96fdfab500 2011-03-20        kinaba: typedef complex<double> CMP;
96fdfab500 2011-03-20        kinaba: 
96fdfab500 2011-03-20        kinaba: class MafiaGame { public:
96fdfab500 2011-03-20        kinaba: 	double probabilityToLose(int N, vector <int> decisions)
96fdfab500 2011-03-20        kinaba: 	{
96fdfab500 2011-03-20        kinaba: 		vector<int> vc;
96fdfab500 2011-03-20        kinaba: 		{
96fdfab500 2011-03-20        kinaba: 			map<int,int> voteCnt;
96fdfab500 2011-03-20        kinaba: 			for(int i=0; i<decisions.size(); ++i)
96fdfab500 2011-03-20        kinaba: 				voteCnt[decisions[i]] ++;
96fdfab500 2011-03-20        kinaba: 			for(map<int,int>::iterator it=voteCnt.begin(); it!=voteCnt.end(); ++it)
96fdfab500 2011-03-20        kinaba: 				vc.push_back( it->second );
96fdfab500 2011-03-20        kinaba: 		}
96fdfab500 2011-03-20        kinaba: 		const int MAX = *max_element(vc.begin(), vc.end());
96fdfab500 2011-03-20        kinaba: 		if( MAX == 1 )
96fdfab500 2011-03-20        kinaba: 			return 0.0;
96fdfab500 2011-03-20        kinaba: 
96fdfab500 2011-03-20        kinaba: 		const int GotMAX = count(vc.begin(), vc.end(), MAX);
96fdfab500 2011-03-20        kinaba: 		for(int k=GotMAX; k; k=(N-k*MAX)%k)
96fdfab500 2011-03-20        kinaba: 			if( k == 1 )
96fdfab500 2011-03-20        kinaba: 				return 1.0/GotMAX;
96fdfab500 2011-03-20        kinaba: 		return 0.0;
96fdfab500 2011-03-20        kinaba: 	}
96fdfab500 2011-03-20        kinaba: };
96fdfab500 2011-03-20        kinaba: 
96fdfab500 2011-03-20        kinaba: // BEGIN CUT HERE
96fdfab500 2011-03-20        kinaba: #include <ctime>
96fdfab500 2011-03-20        kinaba: double start_time; string timer()
96fdfab500 2011-03-20        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
96fdfab500 2011-03-20        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
96fdfab500 2011-03-20        kinaba:  { os << "{ ";
96fdfab500 2011-03-20        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
96fdfab500 2011-03-20        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
96fdfab500 2011-03-20        kinaba: void verify_case(const double& Expected, const double& Received) {
96fdfab500 2011-03-20        kinaba:  bool ok = (abs(Expected - Received) < 1e-9);
96fdfab500 2011-03-20        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
96fdfab500 2011-03-20        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
96fdfab500 2011-03-20        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
96fdfab500 2011-03-20        kinaba: #define END	 verify_case(_, MafiaGame().probabilityToLose(N, decisions));}
96fdfab500 2011-03-20        kinaba: int main(){
96fdfab500 2011-03-20        kinaba: 
96fdfab500 2011-03-20        kinaba: CASE(0)
96fdfab500 2011-03-20        kinaba: 	int N = 3;
96fdfab500 2011-03-20        kinaba: 	int decisions_[] = {1, 1, 1};
96fdfab500 2011-03-20        kinaba: 	  vector <int> decisions(decisions_, decisions_+sizeof(decisions_)/sizeof(*decisions_));
96fdfab500 2011-03-20        kinaba: 	double _ = 1.0;
96fdfab500 2011-03-20        kinaba: END
96fdfab500 2011-03-20        kinaba: CASE(1)
96fdfab500 2011-03-20        kinaba: 	int N = 5;
96fdfab500 2011-03-20        kinaba: 	int decisions_[] = {1, 2, 3};
96fdfab500 2011-03-20        kinaba: 	  vector <int> decisions(decisions_, decisions_+sizeof(decisions_)/sizeof(*decisions_));
96fdfab500 2011-03-20        kinaba: 	double _ = 0.0;
96fdfab500 2011-03-20        kinaba: END
96fdfab500 2011-03-20        kinaba: CASE(2)
96fdfab500 2011-03-20        kinaba: 	int N = 20;
96fdfab500 2011-03-20        kinaba: 	int decisions_[] = {1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 18, 19, 0};
96fdfab500 2011-03-20        kinaba: 	  vector <int> decisions(decisions_, decisions_+sizeof(decisions_)/sizeof(*decisions_));
96fdfab500 2011-03-20        kinaba: 	double _ = 0.0;
96fdfab500 2011-03-20        kinaba: END
96fdfab500 2011-03-20        kinaba: CASE(3)
96fdfab500 2011-03-20        kinaba: 	int N = 23;
96fdfab500 2011-03-20        kinaba: 	int decisions_[] = {17, 10, 3, 14, 22, 5, 11, 10, 22, 3, 14, 5, 11, 17};
96fdfab500 2011-03-20        kinaba: 	  vector <int> decisions(decisions_, decisions_+sizeof(decisions_)/sizeof(*decisions_));
96fdfab500 2011-03-20        kinaba: 	double _ = 0.14285714285714285;
96fdfab500 2011-03-20        kinaba: END
96fdfab500 2011-03-20        kinaba: /*
96fdfab500 2011-03-20        kinaba: CASE(4)
96fdfab500 2011-03-20        kinaba: 	int N = ;
96fdfab500 2011-03-20        kinaba: 	int decisions_[] = ;
96fdfab500 2011-03-20        kinaba: 	  vector <int> decisions(decisions_, decisions_+sizeof(decisions_)/sizeof(*decisions_));
96fdfab500 2011-03-20        kinaba: 	double _ = ;
96fdfab500 2011-03-20        kinaba: END
96fdfab500 2011-03-20        kinaba: CASE(5)
96fdfab500 2011-03-20        kinaba: 	int N = ;
96fdfab500 2011-03-20        kinaba: 	int decisions_[] = ;
96fdfab500 2011-03-20        kinaba: 	  vector <int> decisions(decisions_, decisions_+sizeof(decisions_)/sizeof(*decisions_));
96fdfab500 2011-03-20        kinaba: 	double _ = ;
96fdfab500 2011-03-20        kinaba: END
96fdfab500 2011-03-20        kinaba: */
96fdfab500 2011-03-20        kinaba: }
96fdfab500 2011-03-20        kinaba: // END CUT HERE