98499b8c6b 2011-11-12        kinaba: #include <iostream>
98499b8c6b 2011-11-12        kinaba: #include <sstream>
98499b8c6b 2011-11-12        kinaba: #include <iomanip>
98499b8c6b 2011-11-12        kinaba: #include <vector>
98499b8c6b 2011-11-12        kinaba: #include <string>
98499b8c6b 2011-11-12        kinaba: #include <map>
98499b8c6b 2011-11-12        kinaba: #include <set>
98499b8c6b 2011-11-12        kinaba: #include <algorithm>
98499b8c6b 2011-11-12        kinaba: #include <numeric>
98499b8c6b 2011-11-12        kinaba: #include <iterator>
98499b8c6b 2011-11-12        kinaba: #include <functional>
98499b8c6b 2011-11-12        kinaba: #include <complex>
98499b8c6b 2011-11-12        kinaba: #include <queue>
98499b8c6b 2011-11-12        kinaba: #include <stack>
98499b8c6b 2011-11-12        kinaba: #include <cmath>
98499b8c6b 2011-11-12        kinaba: #include <cassert>
98499b8c6b 2011-11-12        kinaba: #include <cstring>
98499b8c6b 2011-11-12        kinaba: using namespace std;
98499b8c6b 2011-11-12        kinaba: typedef long long LL;
98499b8c6b 2011-11-12        kinaba: typedef complex<double> CMP;
98499b8c6b 2011-11-12        kinaba: 
98499b8c6b 2011-11-12        kinaba: class RowAndCoins { public:
98499b8c6b 2011-11-12        kinaba: 	string getWinner(string cells)
98499b8c6b 2011-11-12        kinaba: 	{
98499b8c6b 2011-11-12        kinaba: 		int n = cells.size();
98499b8c6b 2011-11-12        kinaba: 		int v = 0;
98499b8c6b 2011-11-12        kinaba: 		for(int i=0; i<n; ++i)
98499b8c6b 2011-11-12        kinaba: 			v = (v<<1) | (cells[i]=='B');
98499b8c6b 2011-11-12        kinaba: 		memo.clear();
98499b8c6b 2011-11-12        kinaba: 		return rec(0, v, n, 0) ? "Bob" : "Alice";
98499b8c6b 2011-11-12        kinaba: 	}
98499b8c6b 2011-11-12        kinaba: 
98499b8c6b 2011-11-12        kinaba: 	vector<int> memo;
98499b8c6b 2011-11-12        kinaba: 	int rec(int p, const int v, const int n, int mask)
98499b8c6b 2011-11-12        kinaba: 	{
98499b8c6b 2011-11-12        kinaba: 		int key = mask*2+p;
98499b8c6b 2011-11-12        kinaba: 		if( key >= memo.size() )
98499b8c6b 2011-11-12        kinaba: 			memo.resize(key+1, -1);
98499b8c6b 2011-11-12        kinaba: 		if( memo[key] >= 0 )
98499b8c6b 2011-11-12        kinaba: 			return memo[key];
98499b8c6b 2011-11-12        kinaba: 
98499b8c6b 2011-11-12        kinaba: 		for(int i=0; i<n; ++i)
98499b8c6b 2011-11-12        kinaba: 			if( mask == (1<<n)-1 - (1<<i) )
98499b8c6b 2011-11-12        kinaba: 				return memo[key] = (v&(1<<i) ? 1 : 0);
98499b8c6b 2011-11-12        kinaba: 
98499b8c6b 2011-11-12        kinaba: 		bool p_win = false;
98499b8c6b 2011-11-12        kinaba: 		for(int s=0; s<n; ++s)
98499b8c6b 2011-11-12        kinaba: 			for(int e=s+1; e<=n; ++e) if( e-s != n ) {
98499b8c6b 2011-11-12        kinaba: 				int mm = mask;
98499b8c6b 2011-11-12        kinaba: 				for(int i=s; i<e; ++i) {
98499b8c6b 2011-11-12        kinaba: 					if( mask&(1<<i) )
98499b8c6b 2011-11-12        kinaba: 						goto next;
98499b8c6b 2011-11-12        kinaba: 					mm |= (1<<i);
98499b8c6b 2011-11-12        kinaba: 				}
98499b8c6b 2011-11-12        kinaba: 				if( mm == (1<<n)-1 )
98499b8c6b 2011-11-12        kinaba: 					goto next;
98499b8c6b 2011-11-12        kinaba: 				if( p == rec(p^1, v, n, mm) )
98499b8c6b 2011-11-12        kinaba: 					p_win = true;
98499b8c6b 2011-11-12        kinaba: 			next:;
98499b8c6b 2011-11-12        kinaba: 			}
98499b8c6b 2011-11-12        kinaba: 		return memo[key] = (p_win ?  p : p^1);
98499b8c6b 2011-11-12        kinaba: 	}
98499b8c6b 2011-11-12        kinaba: };
98499b8c6b 2011-11-12        kinaba: 
98499b8c6b 2011-11-12        kinaba: // BEGIN CUT HERE
98499b8c6b 2011-11-12        kinaba: #include <ctime>
98499b8c6b 2011-11-12        kinaba: double start_time; string timer()
98499b8c6b 2011-11-12        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
98499b8c6b 2011-11-12        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
98499b8c6b 2011-11-12        kinaba:  { os << "{ ";
98499b8c6b 2011-11-12        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
98499b8c6b 2011-11-12        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
98499b8c6b 2011-11-12        kinaba: void verify_case(const string& Expected, const string& Received) {
98499b8c6b 2011-11-12        kinaba:  bool ok = (Expected == Received);
98499b8c6b 2011-11-12        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
98499b8c6b 2011-11-12        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
98499b8c6b 2011-11-12        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
98499b8c6b 2011-11-12        kinaba: #define END	 verify_case(_, RowAndCoins().getWinner(cells));}
98499b8c6b 2011-11-12        kinaba: int main(){
98499b8c6b 2011-11-12        kinaba: 
98499b8c6b 2011-11-12        kinaba: CASE(0)
98499b8c6b 2011-11-12        kinaba: 	string cells = "ABBB";
98499b8c6b 2011-11-12        kinaba: 	string _ = "Alice";
98499b8c6b 2011-11-12        kinaba: END
98499b8c6b 2011-11-12        kinaba: CASE(1)
98499b8c6b 2011-11-12        kinaba: 	string cells = "BBBB";
98499b8c6b 2011-11-12        kinaba: 	string _ = "Bob";
98499b8c6b 2011-11-12        kinaba: END
98499b8c6b 2011-11-12        kinaba: CASE(2)
98499b8c6b 2011-11-12        kinaba: 	string cells = "BA";
98499b8c6b 2011-11-12        kinaba: 	string _ = "Alice";
98499b8c6b 2011-11-12        kinaba: END
98499b8c6b 2011-11-12        kinaba: CASE(3)
98499b8c6b 2011-11-12        kinaba: 	string cells = "BABBABBB";
98499b8c6b 2011-11-12        kinaba: 	string _ = "Bob";
98499b8c6b 2011-11-12        kinaba: END
98499b8c6b 2011-11-12        kinaba: CASE(4)
98499b8c6b 2011-11-12        kinaba: 	string cells = "ABABBBABAABBAA";
98499b8c6b 2011-11-12        kinaba: 	string _ = "Alice";
98499b8c6b 2011-11-12        kinaba: END
98499b8c6b 2011-11-12        kinaba: CASE(5)
98499b8c6b 2011-11-12        kinaba: 	string cells = "BBBAAABBAAABBB";
98499b8c6b 2011-11-12        kinaba: 	string _ = "Bob";
98499b8c6b 2011-11-12        kinaba: END
98499b8c6b 2011-11-12        kinaba: CASE(6)
98499b8c6b 2011-11-12        kinaba: 	string cells = "A";
98499b8c6b 2011-11-12        kinaba: 	string _ = "Alice";
98499b8c6b 2011-11-12        kinaba: END
98499b8c6b 2011-11-12        kinaba: CASE(7)
98499b8c6b 2011-11-12        kinaba: 	string cells = "B";
98499b8c6b 2011-11-12        kinaba: 	string _ = "Bob";
98499b8c6b 2011-11-12        kinaba: END
98499b8c6b 2011-11-12        kinaba: 
98499b8c6b 2011-11-12        kinaba: }
98499b8c6b 2011-11-12        kinaba: // END CUT HERE