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 TwoRegisters { public:
4fd800b3a8 2011-02-23        kinaba: 	string minProg(int r)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		int minn = 0x7fffffff;
4fd800b3a8 2011-02-23        kinaba: 		vector<int> miny;
4fd800b3a8 2011-02-23        kinaba: 		for(int y=1; y<r; ++y)
4fd800b3a8 2011-02-23        kinaba: 		{
4fd800b3a8 2011-02-23        kinaba: 			int n = cnt(r,y);
4fd800b3a8 2011-02-23        kinaba: 			if( n != -1 )
4fd800b3a8 2011-02-23        kinaba: 				if( n <= minn ) {
4fd800b3a8 2011-02-23        kinaba: 					if( n < minn )
4fd800b3a8 2011-02-23        kinaba: 						miny.clear();
4fd800b3a8 2011-02-23        kinaba: 					minn = n;
4fd800b3a8 2011-02-23        kinaba: 					miny.push_back(y);
4fd800b3a8 2011-02-23        kinaba: 				}
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		string answer;
4fd800b3a8 2011-02-23        kinaba: 		for(int i=0; i<miny.size(); ++i)
4fd800b3a8 2011-02-23        kinaba: 		{
4fd800b3a8 2011-02-23        kinaba: 			int y = miny[i];
4fd800b3a8 2011-02-23        kinaba: 			string s;
4fd800b3a8 2011-02-23        kinaba: 			compute(r, y, false, s);
4fd800b3a8 2011-02-23        kinaba: 			if( i==0 || s < answer )
4fd800b3a8 2011-02-23        kinaba: 				answer = s;
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: 	int cnt(int r, int y)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		if( y==0 )
4fd800b3a8 2011-02-23        kinaba: 			return -1;
4fd800b3a8 2011-02-23        kinaba: 		if( y==1 )
4fd800b3a8 2011-02-23        kinaba: 			return r-1;
4fd800b3a8 2011-02-23        kinaba: 		int k = r/y;
4fd800b3a8 2011-02-23        kinaba: 		int kk = cnt(y, r%y);
4fd800b3a8 2011-02-23        kinaba: 		if( kk == -1 )
4fd800b3a8 2011-02-23        kinaba: 			return -1;
4fd800b3a8 2011-02-23        kinaba: 		return k+kk;
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	void compute(int r, int y, bool isY, string& s)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		if( y==1 ) {
4fd800b3a8 2011-02-23        kinaba: 			for(int i=0; i<r-1; ++i)
4fd800b3a8 2011-02-23        kinaba: 				s += (isY ? 'Y' : 'X');
4fd800b3a8 2011-02-23        kinaba: 			return;
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 		int k = r/y;
4fd800b3a8 2011-02-23        kinaba: 		compute(y, r%y, !isY, s);
4fd800b3a8 2011-02-23        kinaba: 		while( k --> 0 )
4fd800b3a8 2011-02-23        kinaba: 			s += (isY ? 'Y' : 'X');
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 string& Expected, const string& Received) {
4fd800b3a8 2011-02-23        kinaba:  bool ok = (Expected == Received);
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(_, TwoRegisters().minProg(r));}
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 r = 10;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "XXYYX";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(1)
4fd800b3a8 2011-02-23        kinaba: 	int r = 3;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "XX";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(2)
4fd800b3a8 2011-02-23        kinaba: 	int r = 20;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "XYYYYXX";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(3)
4fd800b3a8 2011-02-23        kinaba: 	int r = 34;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "XYXYXYX";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(4)
4fd800b3a8 2011-02-23        kinaba: 	int r = 1;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(5)
4fd800b3a8 2011-02-23        kinaba: 	int r = 1000000;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "??";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(6)
4fd800b3a8 2011-02-23        kinaba: 	int r = 2;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "X";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(6)
4fd800b3a8 2011-02-23        kinaba: 	int r = 999999;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "??";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(6)
4fd800b3a8 2011-02-23        kinaba: 	int r = 999998;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "??";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(6)
4fd800b3a8 2011-02-23        kinaba: 	int r = 999997;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "??";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(6)
4fd800b3a8 2011-02-23        kinaba: 	int r = 999996;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "??";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(6)
4fd800b3a8 2011-02-23        kinaba: 	int r = 999995;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "??";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(6)
4fd800b3a8 2011-02-23        kinaba: 	int r = 5;
4fd800b3a8 2011-02-23        kinaba: 	string _ = "??";
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: }
4fd800b3a8 2011-02-23        kinaba: // END CUT HERE