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 CarrotBoxes { public:
4fd800b3a8 2011-02-23        kinaba: 	double theProbability(vector <string> info)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		info = warshall_floyd(info);
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		double answer=0.0, p=1.0;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		set<int> boxes;
4fd800b3a8 2011-02-23        kinaba: 		for(int v=0; v<info.size(); ++v)
4fd800b3a8 2011-02-23        kinaba: 			boxes.insert(v);
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		while( !boxes.empty() )
4fd800b3a8 2011-02-23        kinaba: 		{
4fd800b3a8 2011-02-23        kinaba: 			for(set<int>::iterator it=boxes.begin(); it!=boxes.end(); ++it)
4fd800b3a8 2011-02-23        kinaba: 				if( isRoot(*it, info, boxes) && !isSingleton(*it, info, boxes) )
4fd800b3a8 2011-02-23        kinaba: 				{
4fd800b3a8 2011-02-23        kinaba: 					int N = boxes.size();
4fd800b3a8 2011-02-23        kinaba: 					int nr = 0;
4fd800b3a8 2011-02-23        kinaba: 					for(int u=0; u<info.size(); ++u)
4fd800b3a8 2011-02-23        kinaba: 						if( info[*it][u]=='Y' && boxes.count(u) )
4fd800b3a8 2011-02-23        kinaba: 							{++nr; boxes.erase(u);}
4fd800b3a8 2011-02-23        kinaba: 					answer += p * (nr-1) / N;
4fd800b3a8 2011-02-23        kinaba: 					p *= double(N-nr) / N;
4fd800b3a8 2011-02-23        kinaba: 					goto nextIter;
4fd800b3a8 2011-02-23        kinaba: 				}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 			// ‘S•”‚ª stand alone
4fd800b3a8 2011-02-23        kinaba: 			answer += p / boxes.size();
4fd800b3a8 2011-02-23        kinaba: 			break;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		nextIter:;
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 		return answer;
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	bool isRoot(int v, const vector<string>& info, const set<int>& boxes)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		for(set<int>::const_iterator jt=boxes.begin(); jt!=boxes.end(); ++jt)
4fd800b3a8 2011-02-23        kinaba: 			if( info[v][*jt]=='N' && info[*jt][v]=='Y' )
4fd800b3a8 2011-02-23        kinaba: 				return false;
4fd800b3a8 2011-02-23        kinaba: 		return true;
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	bool isSingleton(int v, const vector<string>& info, const set<int>& boxes)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		for(set<int>::const_iterator jt=boxes.begin(); jt!=boxes.end(); ++jt)
4fd800b3a8 2011-02-23        kinaba: 			if( v!=*jt && info[v][*jt]=='Y' )
4fd800b3a8 2011-02-23        kinaba: 				return false;
4fd800b3a8 2011-02-23        kinaba: 		return true;
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	vector<string> warshall_floyd(const vector<string>& gg)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		vector<string> g = gg;
4fd800b3a8 2011-02-23        kinaba: 		for(int k=0; k<g.size(); ++k)
4fd800b3a8 2011-02-23        kinaba: 			for(int i=0; i<g.size(); ++i)
4fd800b3a8 2011-02-23        kinaba: 				for(int j=0; j<g.size(); ++j)
4fd800b3a8 2011-02-23        kinaba: 					if( g[i][k]=='Y' && g[k][j]=='Y' )
4fd800b3a8 2011-02-23        kinaba: 						g[i][j] = 'Y';
4fd800b3a8 2011-02-23        kinaba: 		return g;
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:  bool ok = (abs(Expected - Received) < 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(_, CarrotBoxes().theProbability(information));}
4fd800b3a8 2011-02-23        kinaba: int main(){
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: CASE(0)
4fd800b3a8 2011-02-23        kinaba: 	string information_[] = {"YYYYY",
4fd800b3a8 2011-02-23        kinaba:  "NYNNN",
4fd800b3a8 2011-02-23        kinaba:  "NNYNN",
4fd800b3a8 2011-02-23        kinaba:  "NNNYN",
4fd800b3a8 2011-02-23        kinaba:  "NNNNY"}
4fd800b3a8 2011-02-23        kinaba: ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> information(information_, information_+sizeof(information_)/sizeof(*information_));
4fd800b3a8 2011-02-23        kinaba: 	double _ = 0.8;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(1)
4fd800b3a8 2011-02-23        kinaba: 	string information_[] = {"YNNNN",
4fd800b3a8 2011-02-23        kinaba:  "NYNNN",
4fd800b3a8 2011-02-23        kinaba:  "NNYNN",
4fd800b3a8 2011-02-23        kinaba:  "NNNYN",
4fd800b3a8 2011-02-23        kinaba:  "NNNNY"};
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> information(information_, information_+sizeof(information_)/sizeof(*information_));
4fd800b3a8 2011-02-23        kinaba: 	double _ = 0.2;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(2)
4fd800b3a8 2011-02-23        kinaba: 	string information_[] = {"Y"};
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> information(information_, information_+sizeof(information_)/sizeof(*information_));
4fd800b3a8 2011-02-23        kinaba: 	double _ = 1.0;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(3)
4fd800b3a8 2011-02-23        kinaba: 	string information_[] = {"YNNNN",
4fd800b3a8 2011-02-23        kinaba:  "YYNNN",
4fd800b3a8 2011-02-23        kinaba:  "YNYNN",
4fd800b3a8 2011-02-23        kinaba:  "NNNYY",
4fd800b3a8 2011-02-23        kinaba:  "NNNYY"}
4fd800b3a8 2011-02-23        kinaba: ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> information(information_, information_+sizeof(information_)/sizeof(*information_));
4fd800b3a8 2011-02-23        kinaba: 	double _ = 0.6;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(4)
4fd800b3a8 2011-02-23        kinaba: 	string information_[] = {"YYYNNNYN",
4fd800b3a8 2011-02-23        kinaba:  "NYNNNNYN",
4fd800b3a8 2011-02-23        kinaba:  "NNYNNNNN",
4fd800b3a8 2011-02-23        kinaba:  "NYNYNNNN",
4fd800b3a8 2011-02-23        kinaba:  "YNNNYNNY",
4fd800b3a8 2011-02-23        kinaba:  "NNYNNYNN",
4fd800b3a8 2011-02-23        kinaba:  "NNNNYNYN",
4fd800b3a8 2011-02-23        kinaba:  "NNYNNNNY"}
4fd800b3a8 2011-02-23        kinaba: ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> information(information_, information_+sizeof(information_)/sizeof(*information_));
4fd800b3a8 2011-02-23        kinaba: 	double _ = 0.875;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(5)
4fd800b3a8 2011-02-23        kinaba: 	string information_[] = {"YNNNNNNNNYNNNNNNNNNN",
4fd800b3a8 2011-02-23        kinaba:  "NYNNNNNNNNNNNNNNNNNN",
4fd800b3a8 2011-02-23        kinaba:  "NNYNNNNNNNYNNNNNYNNN",
4fd800b3a8 2011-02-23        kinaba:  "NNNYNYNNNNNNNNYNNNNN",
4fd800b3a8 2011-02-23        kinaba:  "NNNNYNNNNNNNNNYNNNNY",
4fd800b3a8 2011-02-23        kinaba:  "NNNNNYNNNNNNNNNNNNNY",
4fd800b3a8 2011-02-23        kinaba:  "NNNNYNYNYNNNNNNNNNNN",
4fd800b3a8 2011-02-23        kinaba:  "NNNNNNNYNNNYYNNNNNNN",
4fd800b3a8 2011-02-23        kinaba:  "NNNNNNNNYNNNNNNNNNNN",
4fd800b3a8 2011-02-23        kinaba:  "YNNNNNNNNYNNNNNYNNNN",
4fd800b3a8 2011-02-23        kinaba:  "NNNNNNNNNNYNNNNNNNNN",
4fd800b3a8 2011-02-23        kinaba:  "NYNNNNNNNNNYNNNNNNNN",
4fd800b3a8 2011-02-23        kinaba:  "NNNNNNNYNNNNYNNNNNNN",
4fd800b3a8 2011-02-23        kinaba:  "NNNNNNNNNNNNNYNNNYNN",
4fd800b3a8 2011-02-23        kinaba:  "NNNNNNNNNNNYNNYNNNYN",
4fd800b3a8 2011-02-23        kinaba:  "NYNNNNNNNNNNNNNYNNNN",
4fd800b3a8 2011-02-23        kinaba:  "NNYNNNNNNNNNNNNNYNNN",
4fd800b3a8 2011-02-23        kinaba:  "NNNNNNNNNNNNNYNYNYNN",
4fd800b3a8 2011-02-23        kinaba:  "NNNNNNNNYNYNNNNNNNYY",
4fd800b3a8 2011-02-23        kinaba:  "NNNYNNNNNNNNNNNNNNNY"};
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> information(information_, information_+sizeof(information_)/sizeof(*information_));
4fd800b3a8 2011-02-23        kinaba: 	double _ = 0.75;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: /*
4fd800b3a8 2011-02-23        kinaba: CASE(6)
4fd800b3a8 2011-02-23        kinaba: 	string information_[] = ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> information(information_, information_+sizeof(information_)/sizeof(*information_));
4fd800b3a8 2011-02-23        kinaba: 	double _ = ;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(7)
4fd800b3a8 2011-02-23        kinaba: 	string information_[] = ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> information(information_, information_+sizeof(information_)/sizeof(*information_));
4fd800b3a8 2011-02-23        kinaba: 	double _ = ;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: */
4fd800b3a8 2011-02-23        kinaba: }
4fd800b3a8 2011-02-23        kinaba: // END CUT HERE