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: int gcd(int a, int b) {
4fd800b3a8 2011-02-23        kinaba: 	while(a) swap(a,b%=a); return b;
4fd800b3a8 2011-02-23        kinaba: }
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: class Fractionalization {
4fd800b3a8 2011-02-23        kinaba: public:
4fd800b3a8 2011-02-23        kinaba: 	vector <string> partial(vector <string> definitions, int m, int n, string danceCall)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		// input
4fd800b3a8 2011-02-23        kinaba: 		map< string, vector<string> > D;
4fd800b3a8 2011-02-23        kinaba: 		for(int i=0; i<definitions.size(); ++i) {
4fd800b3a8 2011-02-23        kinaba: 			stringstream sin(definitions[i]);
4fd800b3a8 2011-02-23        kinaba: 			string name; sin>>name; name=name.substr(0, name.size()-1);
4fd800b3a8 2011-02-23        kinaba: 			vector<string> ds;
4fd800b3a8 2011-02-23        kinaba: 			for(string d; sin>>d;)
4fd800b3a8 2011-02-23        kinaba: 				ds.push_back(d);
4fd800b3a8 2011-02-23        kinaba: 			D[name] = ds;
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		// solve
4fd800b3a8 2011-02-23        kinaba: 		vector<string> result;
4fd800b3a8 2011-02-23        kinaba: 		while(m) {
4fd800b3a8 2011-02-23        kinaba: 			if( !D.count(danceCall) )
4fd800b3a8 2011-02-23        kinaba: 				return vector<string>(1, "ILLEGAL");
4fd800b3a8 2011-02-23        kinaba: 			vector<string>& d = D[danceCall];
4fd800b3a8 2011-02-23        kinaba: 			int q = d.size();
4fd800b3a8 2011-02-23        kinaba: 			int z = m*q/n;
4fd800b3a8 2011-02-23        kinaba: 			for(int i=0; i<z; ++i)
4fd800b3a8 2011-02-23        kinaba: 				result.push_back(d[i]);
4fd800b3a8 2011-02-23        kinaba: 			m = m*q - z*n;
4fd800b3a8 2011-02-23        kinaba: 			danceCall = d[z];
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 		return result;
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() { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: template <typename T> string print_array(const vector<T> &V) { ostringstream os; os << "{ "; for (typename vector<T>::const_iterator iter = V.begin(); iter != V.end(); ++iter) os << '\"' << *iter << "\","; os << " }"; return os.str(); }
4fd800b3a8 2011-02-23        kinaba: int verify_case(const vector <string> &Expected, const vector <string> &Received) { if (Expected == Received) cerr << "PASSED" << timer() << endl; else { cerr << "FAILED" << timer() << endl; cerr << "\tExpected: " << print_array(Expected) << endl; cerr << "\tReceived: " << print_array(Received) << endl; } return 0;}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: template<int N> struct Case_ { Case_(){start_time=clock();} };
4fd800b3a8 2011-02-23        kinaba: char Test_(...);
4fd800b3a8 2011-02-23        kinaba: int Test_(Case_<0>) {
4fd800b3a8 2011-02-23        kinaba: 	string definitions_[] = { "FiveParts: One Two Three Four Five" };
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> definitions(definitions_, definitions_+sizeof(definitions_)/sizeof(*definitions_));
4fd800b3a8 2011-02-23        kinaba: 	int m = 2;
4fd800b3a8 2011-02-23        kinaba: 	int n = 5;
4fd800b3a8 2011-02-23        kinaba: 	string danceCall = "FiveParts";
4fd800b3a8 2011-02-23        kinaba: 	string RetVal_[] = {"One", "Two" };
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> RetVal(RetVal_, RetVal_+sizeof(RetVal_)/sizeof(*RetVal_));
4fd800b3a8 2011-02-23        kinaba: 	return verify_case(RetVal, Fractionalization().partial(definitions, m, n, danceCall)); }
4fd800b3a8 2011-02-23        kinaba: int Test_(Case_<1>) {
4fd800b3a8 2011-02-23        kinaba: 	string definitions_[] = { "Trade: Hinge Hinge",
4fd800b3a8 2011-02-23        kinaba:   "TradeThreeTimes: Trade Trade Trade" };
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> definitions(definitions_, definitions_+sizeof(definitions_)/sizeof(*definitions_));
4fd800b3a8 2011-02-23        kinaba: 	int m = 5;
4fd800b3a8 2011-02-23        kinaba: 	int n = 6;
4fd800b3a8 2011-02-23        kinaba: 	string danceCall = "TradeThreeTimes";
4fd800b3a8 2011-02-23        kinaba: 	string RetVal_[] = {"Trade", "Trade", "Hinge" };
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> RetVal(RetVal_, RetVal_+sizeof(RetVal_)/sizeof(*RetVal_));
4fd800b3a8 2011-02-23        kinaba: 	return verify_case(RetVal, Fractionalization().partial(definitions, m, n, danceCall)); }
4fd800b3a8 2011-02-23        kinaba: int Test_(Case_<2>) {
4fd800b3a8 2011-02-23        kinaba: 	string definitions_[] = { "Trade: Hinge Hinge",
4fd800b3a8 2011-02-23        kinaba:   "CenterTwoTrade: CenterTwoHinge CenterTwoHinge",
4fd800b3a8 2011-02-23        kinaba:   "SpinTheTop: Trade FanTheTop",
4fd800b3a8 2011-02-23        kinaba:   "HotFootSpin: FanTheTop CenterTwoTrade SpinTheTop" };
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> definitions(definitions_, definitions_+sizeof(definitions_)/sizeof(*definitions_));
4fd800b3a8 2011-02-23        kinaba: 	int m = 1;
4fd800b3a8 2011-02-23        kinaba: 	int n = 2;
4fd800b3a8 2011-02-23        kinaba: 	string danceCall = "HotFootSpin";
4fd800b3a8 2011-02-23        kinaba: 	string RetVal_[] = {"FanTheTop", "CenterTwoHinge" };
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> RetVal(RetVal_, RetVal_+sizeof(RetVal_)/sizeof(*RetVal_));
4fd800b3a8 2011-02-23        kinaba: 	return verify_case(RetVal, Fractionalization().partial(definitions, m, n, danceCall)); }
4fd800b3a8 2011-02-23        kinaba: int Test_(Case_<3>) {
4fd800b3a8 2011-02-23        kinaba: 	string definitions_[] = { "Trade: Hinge Hinge",
4fd800b3a8 2011-02-23        kinaba:   "CenterTwoTrade: CenterTwoHinge CenterTwoHinge",
4fd800b3a8 2011-02-23        kinaba:   "SpinTheTop: Trade FanTheTop",
4fd800b3a8 2011-02-23        kinaba:   "HotFootSpin: FanTheTop CenterTwoTrade SpinTheTop" };
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> definitions(definitions_, definitions_+sizeof(definitions_)/sizeof(*definitions_));
4fd800b3a8 2011-02-23        kinaba: 	int m = 3;
4fd800b3a8 2011-02-23        kinaba: 	int n = 4;
4fd800b3a8 2011-02-23        kinaba: 	string danceCall = "HotFootSpin";
4fd800b3a8 2011-02-23        kinaba: 	string RetVal_[] = {"FanTheTop", "CenterTwoTrade", "Hinge" };
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> RetVal(RetVal_, RetVal_+sizeof(RetVal_)/sizeof(*RetVal_));
4fd800b3a8 2011-02-23        kinaba: 	return verify_case(RetVal, Fractionalization().partial(definitions, m, n, danceCall)); }
4fd800b3a8 2011-02-23        kinaba: int Test_(Case_<4>) {
4fd800b3a8 2011-02-23        kinaba: 	string definitions_[] = { "A: One Two",
4fd800b3a8 2011-02-23        kinaba:   "B: One Two Three",
4fd800b3a8 2011-02-23        kinaba:   "C: One Two Three Four" };
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> definitions(definitions_, definitions_+sizeof(definitions_)/sizeof(*definitions_));
4fd800b3a8 2011-02-23        kinaba: 	int m = 3;
4fd800b3a8 2011-02-23        kinaba: 	int n = 4;
4fd800b3a8 2011-02-23        kinaba: 	string danceCall = "C";
4fd800b3a8 2011-02-23        kinaba: 	string RetVal_[] = {"One", "Two", "Three" };
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> RetVal(RetVal_, RetVal_+sizeof(RetVal_)/sizeof(*RetVal_));
4fd800b3a8 2011-02-23        kinaba: 	return verify_case(RetVal, Fractionalization().partial(definitions, m, n, danceCall)); }
4fd800b3a8 2011-02-23        kinaba: int Test_(Case_<5>) {
4fd800b3a8 2011-02-23        kinaba: 	string definitions_[] = { "A: X Y Z",
4fd800b3a8 2011-02-23        kinaba:   "B: A A A" };
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> definitions(definitions_, definitions_+sizeof(definitions_)/sizeof(*definitions_));
4fd800b3a8 2011-02-23        kinaba: 	int m = 7;
4fd800b3a8 2011-02-23        kinaba: 	int n = 23;
4fd800b3a8 2011-02-23        kinaba: 	string danceCall = "B";
4fd800b3a8 2011-02-23        kinaba: 	string RetVal_[] = {"ILLEGAL" };
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> RetVal(RetVal_, RetVal_+sizeof(RetVal_)/sizeof(*RetVal_));
4fd800b3a8 2011-02-23        kinaba: 	return verify_case(RetVal, Fractionalization().partial(definitions, m, n, danceCall)); }
4fd800b3a8 2011-02-23        kinaba: int Test_(Case_<6>) {
4fd800b3a8 2011-02-23        kinaba: 	string definitions_[] = { "A: B C",
4fd800b3a8 2011-02-23        kinaba:   "D: E F" };
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> definitions(definitions_, definitions_+sizeof(definitions_)/sizeof(*definitions_));
4fd800b3a8 2011-02-23        kinaba: 	int m = 1;
4fd800b3a8 2011-02-23        kinaba: 	int n = 2;
4fd800b3a8 2011-02-23        kinaba: 	string danceCall = "G";
4fd800b3a8 2011-02-23        kinaba: 	string RetVal_[] = {"ILLEGAL" };
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> RetVal(RetVal_, RetVal_+sizeof(RetVal_)/sizeof(*RetVal_));
4fd800b3a8 2011-02-23        kinaba: 	return verify_case(RetVal, Fractionalization().partial(definitions, m, n, danceCall)); }
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: template<int N> void Run_() { cerr << "Test Case #" << N << "..." << flush; Test_(Case_<N>()); Run_<sizeof(Test_(Case_<N+1>()))==1 ? -1 : N+1>(); }
4fd800b3a8 2011-02-23        kinaba: template<>      void Run_<-1>() {}
4fd800b3a8 2011-02-23        kinaba: int main() { Run_<0>(); }
4fd800b3a8 2011-02-23        kinaba: // END CUT HERE
4fd800b3a8 2011-02-23        kinaba: