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cda9cb7744 2013-08-27        kinaba: #include <iostream>
cda9cb7744 2013-08-27        kinaba: #include <sstream>
cda9cb7744 2013-08-27        kinaba: #include <iomanip>
cda9cb7744 2013-08-27        kinaba: #include <vector>
cda9cb7744 2013-08-27        kinaba: #include <string>
cda9cb7744 2013-08-27        kinaba: #include <map>
cda9cb7744 2013-08-27        kinaba: #include <set>
cda9cb7744 2013-08-27        kinaba: #include <algorithm>
cda9cb7744 2013-08-27        kinaba: #include <numeric>
cda9cb7744 2013-08-27        kinaba: #include <iterator>
cda9cb7744 2013-08-27        kinaba: #include <functional>
cda9cb7744 2013-08-27        kinaba: #include <complex>
cda9cb7744 2013-08-27        kinaba: #include <queue>
cda9cb7744 2013-08-27        kinaba: #include <stack>
cda9cb7744 2013-08-27        kinaba: #include <cmath>
cda9cb7744 2013-08-27        kinaba: #include <cassert>
cda9cb7744 2013-08-27        kinaba: #include <tuple>
cda9cb7744 2013-08-27        kinaba: using namespace std;
cda9cb7744 2013-08-27        kinaba: typedef long long LL;
cda9cb7744 2013-08-27        kinaba: typedef complex<double> CMP;
cda9cb7744 2013-08-27        kinaba: 
cda9cb7744 2013-08-27        kinaba: class ThreeColorability { public:
cda9cb7744 2013-08-27        kinaba: 	vector <string> lexSmallest(vector <string> cells)
cda9cb7744 2013-08-27        kinaba: 	{
cda9cb7744 2013-08-27        kinaba: 		if(!can(cells))
cda9cb7744 2013-08-27        kinaba: 			return vector<string>();
cda9cb7744 2013-08-27        kinaba: 
cda9cb7744 2013-08-27        kinaba: 		for(int y=0; y<cells.size(); ++y)
cda9cb7744 2013-08-27        kinaba: 		for(int x=0; x<cells[y].size(); ++x)
cda9cb7744 2013-08-27        kinaba: 			if(cells[y][x] == '?')
cda9cb7744 2013-08-27        kinaba: 			{
cda9cb7744 2013-08-27        kinaba: 				cells[y][x] = 'N';
cda9cb7744 2013-08-27        kinaba: 				if(!can(cells))
cda9cb7744 2013-08-27        kinaba: 					cells[y][x] = 'Z';
cda9cb7744 2013-08-27        kinaba: 			}
cda9cb7744 2013-08-27        kinaba: 		return cells;
cda9cb7744 2013-08-27        kinaba: 	}
cda9cb7744 2013-08-27        kinaba: 
cda9cb7744 2013-08-27        kinaba: 	enum {R,G,B};
cda9cb7744 2013-08-27        kinaba: 	enum {RG,RB,GR,GB,BR,BG};
cda9cb7744 2013-08-27        kinaba: 	bool can(const vector<string>& C)
cda9cb7744 2013-08-27        kinaba: 	{
cda9cb7744 2013-08-27        kinaba: 		int N = C[0].size();
cda9cb7744 2013-08-27        kinaba: 		vector<int> P(N, (1<<6)-1);
cda9cb7744 2013-08-27        kinaba: 
cda9cb7744 2013-08-27        kinaba: 		for(int y=0; y<C.size(); ++y) {
cda9cb7744 2013-08-27        kinaba: 			apply(P, C[y]);
cda9cb7744 2013-08-27        kinaba: 
cda9cb7744 2013-08-27        kinaba: 			int can = (1<<R)|(1<<G)|(1<<B);
cda9cb7744 2013-08-27        kinaba: 			for(int x=0; x<N; ++x)
cda9cb7744 2013-08-27        kinaba: 			{
cda9cb7744 2013-08-27        kinaba: 				int can2 = 0;
cda9cb7744 2013-08-27        kinaba: 				if((can&(1<<R))&&(P[x]&(1<<RG))) can2 |= 1<<G;
cda9cb7744 2013-08-27        kinaba: 				if((can&(1<<R))&&(P[x]&(1<<RB))) can2 |= 1<<B;
cda9cb7744 2013-08-27        kinaba: 				if((can&(1<<G))&&(P[x]&(1<<GR))) can2 |= 1<<R;
cda9cb7744 2013-08-27        kinaba: 				if((can&(1<<G))&&(P[x]&(1<<GB))) can2 |= 1<<B;
cda9cb7744 2013-08-27        kinaba: 				if((can&(1<<B))&&(P[x]&(1<<BR))) can2 |= 1<<R;
cda9cb7744 2013-08-27        kinaba: 				if((can&(1<<B))&&(P[x]&(1<<BG))) can2 |= 1<<G;
cda9cb7744 2013-08-27        kinaba: 				can = can2;
cda9cb7744 2013-08-27        kinaba: 			}
cda9cb7744 2013-08-27        kinaba: 			if(!can)
cda9cb7744 2013-08-27        kinaba: 				return false;
cda9cb7744 2013-08-27        kinaba: 		}
cda9cb7744 2013-08-27        kinaba: 
cda9cb7744 2013-08-27        kinaba: 		return true;
cda9cb7744 2013-08-27        kinaba: 	}
cda9cb7744 2013-08-27        kinaba: 
cda9cb7744 2013-08-27        kinaba: 	void apply(vector<int>& P, const string& C)
cda9cb7744 2013-08-27        kinaba: 	{
cda9cb7744 2013-08-27        kinaba: 		for(int i=0; i<C.size(); ++i)
cda9cb7744 2013-08-27        kinaba: 			apply(P[i], C[i]);
cda9cb7744 2013-08-27        kinaba: 	}
cda9cb7744 2013-08-27        kinaba: 
cda9cb7744 2013-08-27        kinaba: 	void apply(int& P, char C)
cda9cb7744 2013-08-27        kinaba: 	{
cda9cb7744 2013-08-27        kinaba: 		int Q = 0;
cda9cb7744 2013-08-27        kinaba: 		// N
cda9cb7744 2013-08-27        kinaba: 		if((P&(1<<RG))&&(C!='Z')) Q |= (1<<GB);
cda9cb7744 2013-08-27        kinaba: 		if((P&(1<<RB))&&(C!='Z')) Q |= (1<<BG);
cda9cb7744 2013-08-27        kinaba: 		if((P&(1<<GR))&&(C!='Z')) Q |= (1<<RB);
cda9cb7744 2013-08-27        kinaba: 		if((P&(1<<GB))&&(C!='Z')) Q |= (1<<BR);
cda9cb7744 2013-08-27        kinaba: 		if((P&(1<<BR))&&(C!='Z')) Q |= (1<<RG);
cda9cb7744 2013-08-27        kinaba: 		if((P&(1<<BG))&&(C!='Z')) Q |= (1<<GR);
cda9cb7744 2013-08-27        kinaba: 		// Z
cda9cb7744 2013-08-27        kinaba: 		if((P&(1<<RG))&&(C!='N')) Q |= (1<<BR);
cda9cb7744 2013-08-27        kinaba: 		if((P&(1<<RB))&&(C!='N')) Q |= (1<<GR);
cda9cb7744 2013-08-27        kinaba: 		if((P&(1<<GR))&&(C!='N')) Q |= (1<<BG);
cda9cb7744 2013-08-27        kinaba: 		if((P&(1<<GB))&&(C!='N')) Q |= (1<<RG);
cda9cb7744 2013-08-27        kinaba: 		if((P&(1<<BR))&&(C!='N')) Q |= (1<<GB);
cda9cb7744 2013-08-27        kinaba: 		if((P&(1<<BG))&&(C!='N')) Q |= (1<<RB);
cda9cb7744 2013-08-27        kinaba: 
cda9cb7744 2013-08-27        kinaba: 		P = Q;
cda9cb7744 2013-08-27        kinaba: 	}
cda9cb7744 2013-08-27        kinaba: };
cda9cb7744 2013-08-27        kinaba: 
cda9cb7744 2013-08-27        kinaba: // BEGIN CUT HERE
cda9cb7744 2013-08-27        kinaba: #include <ctime>
cda9cb7744 2013-08-27        kinaba: double start_time; string timer()
cda9cb7744 2013-08-27        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
cda9cb7744 2013-08-27        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
cda9cb7744 2013-08-27        kinaba:  { os << "{ ";
cda9cb7744 2013-08-27        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
cda9cb7744 2013-08-27        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
cda9cb7744 2013-08-27        kinaba: void verify_case(const vector <string>& Expected, const vector <string>& Received) {
cda9cb7744 2013-08-27        kinaba:  bool ok = (Expected == Received);
cda9cb7744 2013-08-27        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
cda9cb7744 2013-08-27        kinaba:  cerr << "\to: " << Expected << endl << "\tx: " << Received << endl; } }
cda9cb7744 2013-08-27        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
cda9cb7744 2013-08-27        kinaba: #define END	 verify_case(_, ThreeColorability().lexSmallest(cells));}
cda9cb7744 2013-08-27        kinaba: int main(){
cda9cb7744 2013-08-27        kinaba: 
cda9cb7744 2013-08-27        kinaba: CASE(0)
cda9cb7744 2013-08-27        kinaba: 	string cells_[] = {"Z"};
cda9cb7744 2013-08-27        kinaba: 	  vector <string> cells(cells_, cells_+sizeof(cells_)/sizeof(*cells_));
cda9cb7744 2013-08-27        kinaba: 	string __[] = {"Z" };
cda9cb7744 2013-08-27        kinaba: 	  vector <string> _(__, __+sizeof(__)/sizeof(*__));
cda9cb7744 2013-08-27        kinaba: END
cda9cb7744 2013-08-27        kinaba: CASE(1)
cda9cb7744 2013-08-27        kinaba: 	string cells_[] = {"??", "?N"};
cda9cb7744 2013-08-27        kinaba: 	  vector <string> cells(cells_, cells_+sizeof(cells_)/sizeof(*cells_));
cda9cb7744 2013-08-27        kinaba: 	string __[] = {"NN", "NN" };
cda9cb7744 2013-08-27        kinaba: 	  vector <string> _(__, __+sizeof(__)/sizeof(*__));
cda9cb7744 2013-08-27        kinaba: END
cda9cb7744 2013-08-27        kinaba: CASE(2)
cda9cb7744 2013-08-27        kinaba: 	string cells_[] = {"ZZZ", "ZNZ"};
cda9cb7744 2013-08-27        kinaba: 	  vector <string> cells(cells_, cells_+sizeof(cells_)/sizeof(*cells_));
cda9cb7744 2013-08-27        kinaba: 	vector <string> _;
cda9cb7744 2013-08-27        kinaba: END
cda9cb7744 2013-08-27        kinaba: CASE(3)
cda9cb7744 2013-08-27        kinaba: 	string cells_[] = {"N?N??NN","??ZN??Z","NN???Z?","ZZZ?Z??","Z???NN?","N?????N","ZZ?N?NN"};
cda9cb7744 2013-08-27        kinaba: 	  vector <string> cells(cells_, cells_+sizeof(cells_)/sizeof(*cells_));
cda9cb7744 2013-08-27        kinaba: 	vector <string> _;
cda9cb7744 2013-08-27        kinaba: END
cda9cb7744 2013-08-27        kinaba: CASE(4)
cda9cb7744 2013-08-27        kinaba: 	string cells_[] = {"ZZZZ","ZZZZ","ZZZZ"};
cda9cb7744 2013-08-27        kinaba: 	  vector <string> cells(cells_, cells_+sizeof(cells_)/sizeof(*cells_));
cda9cb7744 2013-08-27        kinaba: 	string __[] = {"ZZZZ", "ZZZZ", "ZZZZ" };
cda9cb7744 2013-08-27        kinaba: 	  vector <string> _(__, __+sizeof(__)/sizeof(*__));
cda9cb7744 2013-08-27        kinaba: END
cda9cb7744 2013-08-27        kinaba: /*
cda9cb7744 2013-08-27        kinaba: CASE(5)
cda9cb7744 2013-08-27        kinaba: 	string cells_[] = ;
cda9cb7744 2013-08-27        kinaba: 	  vector <string> cells(cells_, cells_+sizeof(cells_)/sizeof(*cells_));
cda9cb7744 2013-08-27        kinaba: 	string __[] = ;
cda9cb7744 2013-08-27        kinaba: 	  vector <string> _(__, __+sizeof(__)/sizeof(*__));
cda9cb7744 2013-08-27        kinaba: END
cda9cb7744 2013-08-27        kinaba: CASE(6)
cda9cb7744 2013-08-27        kinaba: 	string cells_[] = ;
cda9cb7744 2013-08-27        kinaba: 	  vector <string> cells(cells_, cells_+sizeof(cells_)/sizeof(*cells_));
cda9cb7744 2013-08-27        kinaba: 	string __[] = ;
cda9cb7744 2013-08-27        kinaba: 	  vector <string> _(__, __+sizeof(__)/sizeof(*__));
cda9cb7744 2013-08-27        kinaba: END
cda9cb7744 2013-08-27        kinaba: */
cda9cb7744 2013-08-27        kinaba: }
cda9cb7744 2013-08-27        kinaba: // END CUT HERE