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 <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 <cstring>
4fd800b3a8 2011-02-23        kinaba: #include <cassert>
4fd800b3a8 2011-02-23        kinaba: using namespace std;
4fd800b3a8 2011-02-23        kinaba: typedef long long LL;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: char memo[81*81*81*81];
4fd800b3a8 2011-02-23        kinaba: int  n, X[16];
4fd800b3a8 2011-02-23        kinaba: static const char NIL = 99;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: bool win[243];
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: class TheStringGame
4fd800b3a8 2011-02-23        kinaba: {
4fd800b3a8 2011-02-23        kinaba: public:
4fd800b3a8 2011-02-23        kinaba: 	string winner(string s)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		// construct the winning condition table
4fd800b3a8 2011-02-23        kinaba: 		for(int mm=0; mm<243; ++mm)
4fd800b3a8 2011-02-23        kinaba: 			win[mm] = (mm/ 9%3==0 &&
4fd800b3a8 2011-02-23        kinaba: 					(  mm/81%3==2 && mm/27%3==1     // LOX
4fd800b3a8 2011-02-23        kinaba: 					|| mm/27%3==2 && mm/ 3%3==2     //  LXL
4fd800b3a8 2011-02-23        kinaba: 					|| mm/ 3%3==1 && mm/ 1%3==2 )); //   XOL
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		// read the input
4fd800b3a8 2011-02-23        kinaba: 		int m=0, numX=0;
4fd800b3a8 2011-02-23        kinaba: 		{
4fd800b3a8 2011-02-23        kinaba: 			memset(memo, NIL, sizeof(memo));
4fd800b3a8 2011-02-23        kinaba: 			n = s.size();
4fd800b3a8 2011-02-23        kinaba: 			for(int i=0; i<n; ++i) {
4fd800b3a8 2011-02-23        kinaba: 				m *= 3;
4fd800b3a8 2011-02-23        kinaba: 				for(int j=0; j<numX; ++j)
4fd800b3a8 2011-02-23        kinaba: 					X[j] *= 3;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 				if( s[i]=='X' )
4fd800b3a8 2011-02-23        kinaba: 					X[numX++] = 1;
4fd800b3a8 2011-02-23        kinaba: 				else
4fd800b3a8 2011-02-23        kinaba: 					m += (s[i]=='O' ? 1 : 2);
4fd800b3a8 2011-02-23        kinaba: 			}
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		// solve
4fd800b3a8 2011-02-23        kinaba: 		if( int r = negaMax(m, numX) )
4fd800b3a8 2011-02-23        kinaba: 		{
4fd800b3a8 2011-02-23        kinaba: 			stringstream sout;
4fd800b3a8 2011-02-23        kinaba: 			sout << (r>0 ? "John" : "Brus") << " " << numX-abs(r)+1;
4fd800b3a8 2011-02-23        kinaba: 			return sout.str();
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 		return "Draw";
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	static int rev(int m)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		int z = 0;
4fd800b3a8 2011-02-23        kinaba: 		for(int i=0; i<n; ++i)
4fd800b3a8 2011-02-23        kinaba: 			z = z*3 + m%3, m/=3;
4fd800b3a8 2011-02-23        kinaba: 		return z;
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	static char negaMax(int m, int numX)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		if( numX == 0 )
4fd800b3a8 2011-02-23        kinaba: 			return 0;
4fd800b3a8 2011-02-23        kinaba: 		if( memo[m] != NIL )
4fd800b3a8 2011-02-23        kinaba: 			return memo[m];
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		for(int j=0; j<numX; ++j)
4fd800b3a8 2011-02-23        kinaba: 			if( win[m*9/X[j]%243] )
4fd800b3a8 2011-02-23        kinaba: 				return memo[m] = numX;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		int sc = -numX;
4fd800b3a8 2011-02-23        kinaba: 		for(int j=0; j<numX; ++j) {
4fd800b3a8 2011-02-23        kinaba: 			int M = X[j];
4fd800b3a8 2011-02-23        kinaba: 			swap(X[j], X[numX-1]);
4fd800b3a8 2011-02-23        kinaba: 			sc = max(sc, -negaMax(m+M*1, numX-1));
4fd800b3a8 2011-02-23        kinaba: 			sc = max(sc, -negaMax(m+M*2, numX-1));
4fd800b3a8 2011-02-23        kinaba: 			swap(X[j], X[numX-1]);
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 		return memo[m] = memo[rev(m)] = sc;
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 string &Expected, const string &Received) { if (Expected == Received) cerr << "PASSED" << timer() << endl; else { cerr << "FAILED" << timer() << endl; cerr << "\tExpected: \"" << Expected << '\"' << endl; cerr << "\tReceived: \"" << 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 s = "XXOXXXLXLX";
4fd800b3a8 2011-02-23        kinaba: 	string RetVal = "John 1";
4fd800b3a8 2011-02-23        kinaba: 	return verify_case(RetVal, TheStringGame().winner(s)); }
4fd800b3a8 2011-02-23        kinaba: int Test_(Case_<1>) {
4fd800b3a8 2011-02-23        kinaba: 	string s = "LXXLXXL";
4fd800b3a8 2011-02-23        kinaba: 	string RetVal = "Brus 2";
4fd800b3a8 2011-02-23        kinaba: 	return verify_case(RetVal, TheStringGame().winner(s)); }
4fd800b3a8 2011-02-23        kinaba: int Test_(Case_<2>) {
4fd800b3a8 2011-02-23        kinaba: 	string s = "LLOOLLOOLLOOLLOO";
4fd800b3a8 2011-02-23        kinaba: 	string RetVal = "Draw";
4fd800b3a8 2011-02-23        kinaba: 	return verify_case(RetVal, TheStringGame().winner(s)); }
4fd800b3a8 2011-02-23        kinaba: int Test_(Case_<3>) {
4fd800b3a8 2011-02-23        kinaba: 	string s = "XXXXXXXXXXXXXXXX";
4fd800b3a8 2011-02-23        kinaba: 	string RetVal = "Brus 16";
4fd800b3a8 2011-02-23        kinaba: 	return verify_case(RetVal, TheStringGame().winner(s)); }
4fd800b3a8 2011-02-23        kinaba: int Test_(Case_<4>) {
4fd800b3a8 2011-02-23        kinaba: 	string s = "XXXXXXXXXXXXXXXO";
4fd800b3a8 2011-02-23        kinaba: 	string RetVal = "John 15";
4fd800b3a8 2011-02-23        kinaba: 	return verify_case(RetVal, TheStringGame().winner(s)); }
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