339e20815a 2014-10-24        kinaba: #include <iostream>
339e20815a 2014-10-24        kinaba: #include <sstream>
339e20815a 2014-10-24        kinaba: #include <iomanip>
339e20815a 2014-10-24        kinaba: #include <vector>
339e20815a 2014-10-24        kinaba: #include <string>
339e20815a 2014-10-24        kinaba: #include <map>
339e20815a 2014-10-24        kinaba: #include <set>
339e20815a 2014-10-24        kinaba: #include <algorithm>
339e20815a 2014-10-24        kinaba: #include <numeric>
339e20815a 2014-10-24        kinaba: #include <iterator>
339e20815a 2014-10-24        kinaba: #include <functional>
339e20815a 2014-10-24        kinaba: #include <complex>
339e20815a 2014-10-24        kinaba: #include <queue>
339e20815a 2014-10-24        kinaba: #include <stack>
339e20815a 2014-10-24        kinaba: #include <cmath>
339e20815a 2014-10-24        kinaba: #include <cassert>
339e20815a 2014-10-24        kinaba: #include <tuple>
339e20815a 2014-10-24        kinaba: using namespace std;
339e20815a 2014-10-24        kinaba: typedef long long LL;
339e20815a 2014-10-24        kinaba: typedef complex<double> CMP;
339e20815a 2014-10-24        kinaba: 
339e20815a 2014-10-24        kinaba: class ConnectingGame { public:
339e20815a 2014-10-24        kinaba: 	string isValid(vector <string> board)
339e20815a 2014-10-24        kinaba: 	{
339e20815a 2014-10-24        kinaba: 		return hasCuttingPaint(board) ? "invalid" : "valid";
339e20815a 2014-10-24        kinaba: 	}
339e20815a 2014-10-24        kinaba: 
339e20815a 2014-10-24        kinaba: 	bool hasCuttingPaint(vector<string> board) {
339e20815a 2014-10-24        kinaba: 		const int H = board.size();
339e20815a 2014-10-24        kinaba: 		const int W = board[0].size();
339e20815a 2014-10-24        kinaba: 		if(H==1 || W==1)
339e20815a 2014-10-24        kinaba: 			return false;
339e20815a 2014-10-24        kinaba: 
339e20815a 2014-10-24        kinaba: 		set<char> T,L,R,B;
339e20815a 2014-10-24        kinaba: 		map<char, set<char>> G;
339e20815a 2014-10-24        kinaba: 
339e20815a 2014-10-24        kinaba: 		for(int y=0; y<H; ++y)
339e20815a 2014-10-24        kinaba: 		for(int x=0; x<W; ++x)
339e20815a 2014-10-24        kinaba: 		{
339e20815a 2014-10-24        kinaba: 			if(y==0) T.insert(board[y][x]);
339e20815a 2014-10-24        kinaba: 			if(y==H-1) B.insert(board[y][x]);
339e20815a 2014-10-24        kinaba: 			if(x==0) L.insert(board[y][x]);
339e20815a 2014-10-24        kinaba: 			if(x==W-1) R.insert(board[y][x]);
339e20815a 2014-10-24        kinaba: 
339e20815a 2014-10-24        kinaba: 			int dy[]={0,0,-1,+1};
339e20815a 2014-10-24        kinaba: 			int dx[]={-1,+1,0,0};
339e20815a 2014-10-24        kinaba: 			for(int d=0; d<4; ++d) {
339e20815a 2014-10-24        kinaba: 				int yy=y+dy[d], xx=x+dx[d];
339e20815a 2014-10-24        kinaba: 				if(0<=yy&&yy<H&&0<=xx&&xx<W&&board[y][x]!=board[yy][xx])
339e20815a 2014-10-24        kinaba: 					G[board[y][x]].insert(board[yy][xx]);
339e20815a 2014-10-24        kinaba: 			}
339e20815a 2014-10-24        kinaba: 		}
339e20815a 2014-10-24        kinaba: 
339e20815a 2014-10-24        kinaba: 		// Is there a way to paint nodes in G s.t.
339e20815a 2014-10-24        kinaba: 		// - all L~G~R paths have at least one Blue node, and
339e20815a 2014-10-24        kinaba: 		// - all T~G~B paths have at least one Red node?
339e20815a 2014-10-24        kinaba: 		// |G|<=62.
339e20815a 2014-10-24        kinaba: 	}
339e20815a 2014-10-24        kinaba: };
339e20815a 2014-10-24        kinaba: 
339e20815a 2014-10-24        kinaba: // BEGIN CUT HERE
339e20815a 2014-10-24        kinaba: #include <ctime>
339e20815a 2014-10-24        kinaba: double start_time; string timer()
339e20815a 2014-10-24        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
339e20815a 2014-10-24        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
339e20815a 2014-10-24        kinaba:  { os << "{ ";
339e20815a 2014-10-24        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
339e20815a 2014-10-24        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
339e20815a 2014-10-24        kinaba: void verify_case(const string& Expected, const string& Received) {
339e20815a 2014-10-24        kinaba:  bool ok = (Expected == Received);
339e20815a 2014-10-24        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
339e20815a 2014-10-24        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
339e20815a 2014-10-24        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
339e20815a 2014-10-24        kinaba: #define END	 verify_case(_, ConnectingGame().isValid(board));}
339e20815a 2014-10-24        kinaba: int main(){
339e20815a 2014-10-24        kinaba: 
339e20815a 2014-10-24        kinaba: CASE(0)
339e20815a 2014-10-24        kinaba: 	string board_[] = {"AAB"
339e20815a 2014-10-24        kinaba: ,"CCD"};
339e20815a 2014-10-24        kinaba: 	  vector <string> board(board_, board_+sizeof(board_)/sizeof(*board_));
339e20815a 2014-10-24        kinaba: 	string _ = "invalid";
339e20815a 2014-10-24        kinaba: END
339e20815a 2014-10-24        kinaba: CASE(1)
339e20815a 2014-10-24        kinaba: 	string board_[] = {"AA"
339e20815a 2014-10-24        kinaba: ,"BB"};
339e20815a 2014-10-24        kinaba: 	  vector <string> board(board_, board_+sizeof(board_)/sizeof(*board_));
339e20815a 2014-10-24        kinaba: 	string _ = "valid";
339e20815a 2014-10-24        kinaba: END
339e20815a 2014-10-24        kinaba: CASE(2)
339e20815a 2014-10-24        kinaba: 	string board_[] = {"iii"
339e20815a 2014-10-24        kinaba: ,"iwi"
339e20815a 2014-10-24        kinaba: ,"iii"};
339e20815a 2014-10-24        kinaba: 	  vector <string> board(board_, board_+sizeof(board_)/sizeof(*board_));
339e20815a 2014-10-24        kinaba: 	string _ = "valid";
339e20815a 2014-10-24        kinaba: END
339e20815a 2014-10-24        kinaba: CASE(3)
339e20815a 2014-10-24        kinaba: 	string board_[] = {"SSnukee"
339e20815a 2014-10-24        kinaba: ,"SKnuthe"
339e20815a 2014-10-24        kinaba: ,"SSSothe"};
339e20815a 2014-10-24        kinaba: 	  vector <string> board(board_, board_+sizeof(board_)/sizeof(*board_));
339e20815a 2014-10-24        kinaba: 	string _ = "invalid";
339e20815a 2014-10-24        kinaba: END
339e20815a 2014-10-24        kinaba: CASE(4)
339e20815a 2014-10-24        kinaba: 	string board_[] = {"rng58"
339e20815a 2014-10-24        kinaba: ,"rnggn"
339e20815a 2014-10-24        kinaba: ,"rnnnn"};
339e20815a 2014-10-24        kinaba: 	  vector <string> board(board_, board_+sizeof(board_)/sizeof(*board_));
339e20815a 2014-10-24        kinaba: 	string _ = "valid";
339e20815a 2014-10-24        kinaba: END
339e20815a 2014-10-24        kinaba: CASE(5)
339e20815a 2014-10-24        kinaba: 	string board_[] = {"ggssGGGGGG","ggssspGGGG","ggsssppGGG","ggWsspGGGG","gggsspGGiG","g7ssspGGGG","gggsseKK33","gggssssK33","gHgsssHA33","HHHHHHHHHH","HHHHHHHHH6","HHHHHHHHb6"};
339e20815a 2014-10-24        kinaba: 	  vector <string> board(board_, board_+sizeof(board_)/sizeof(*board_));
339e20815a 2014-10-24        kinaba: 	string _ = "invalid";
339e20815a 2014-10-24        kinaba: END
339e20815a 2014-10-24        kinaba: /*
339e20815a 2014-10-24        kinaba: CASE(6)
339e20815a 2014-10-24        kinaba: 	string board_[] = ;
339e20815a 2014-10-24        kinaba: 	  vector <string> board(board_, board_+sizeof(board_)/sizeof(*board_));
339e20815a 2014-10-24        kinaba: 	string _ = ;
339e20815a 2014-10-24        kinaba: END
339e20815a 2014-10-24        kinaba: CASE(7)
339e20815a 2014-10-24        kinaba: 	string board_[] = ;
339e20815a 2014-10-24        kinaba: 	  vector <string> board(board_, board_+sizeof(board_)/sizeof(*board_));
339e20815a 2014-10-24        kinaba: 	string _ = ;
339e20815a 2014-10-24        kinaba: END
339e20815a 2014-10-24        kinaba: */
339e20815a 2014-10-24        kinaba: }
339e20815a 2014-10-24        kinaba: // END CUT HERE