143923277f 2014-11-03        kinaba: #include <iostream>
143923277f 2014-11-03        kinaba: #include <sstream>
143923277f 2014-11-03        kinaba: #include <iomanip>
143923277f 2014-11-03        kinaba: #include <vector>
143923277f 2014-11-03        kinaba: #include <string>
143923277f 2014-11-03        kinaba: #include <map>
143923277f 2014-11-03        kinaba: #include <set>
143923277f 2014-11-03        kinaba: #include <algorithm>
143923277f 2014-11-03        kinaba: #include <numeric>
143923277f 2014-11-03        kinaba: #include <iterator>
143923277f 2014-11-03        kinaba: #include <functional>
143923277f 2014-11-03        kinaba: #include <complex>
143923277f 2014-11-03        kinaba: #include <queue>
143923277f 2014-11-03        kinaba: #include <stack>
143923277f 2014-11-03        kinaba: #include <cmath>
143923277f 2014-11-03        kinaba: #include <cassert>
143923277f 2014-11-03        kinaba: #include <tuple>
143923277f 2014-11-03        kinaba: using namespace std;
143923277f 2014-11-03        kinaba: typedef long long LL;
143923277f 2014-11-03        kinaba: typedef complex<double> CMP;
143923277f 2014-11-03        kinaba: 
143923277f 2014-11-03        kinaba: struct UnionFind
143923277f 2014-11-03        kinaba: {
143923277f 2014-11-03        kinaba: 	vector<int> uf, sz;
143923277f 2014-11-03        kinaba: 	int nc;
143923277f 2014-11-03        kinaba: 
143923277f 2014-11-03        kinaba: 	UnionFind(int N): uf(N), sz(N,1), nc(N)
143923277f 2014-11-03        kinaba: 		{ for(int i=0; i<N; ++i) uf[i] = i; }
143923277f 2014-11-03        kinaba: 	int size()
143923277f 2014-11-03        kinaba: 		{ return nc; }
143923277f 2014-11-03        kinaba: 	int size(int a)
143923277f 2014-11-03        kinaba: 		{ return sz[Find(a)]; }
143923277f 2014-11-03        kinaba: 	int Find(int a)
143923277f 2014-11-03        kinaba: 		{ return uf[a]==a ? a : uf[a]=Find(uf[a]); }
143923277f 2014-11-03        kinaba: 	bool Union(int a, int b)
143923277f 2014-11-03        kinaba: 		{
143923277f 2014-11-03        kinaba: 			a = Find(a);
143923277f 2014-11-03        kinaba: 			b = Find(b);
143923277f 2014-11-03        kinaba: 			if( a != b )
143923277f 2014-11-03        kinaba: 			{
143923277f 2014-11-03        kinaba: 				if( sz[a] >= sz[b] ) swap(a, b);
143923277f 2014-11-03        kinaba: 				uf[a] = b;
143923277f 2014-11-03        kinaba: 				sz[b] += sz[a];
143923277f 2014-11-03        kinaba: 				--nc;
143923277f 2014-11-03        kinaba: 			}
143923277f 2014-11-03        kinaba: 			return (a!=b);
143923277f 2014-11-03        kinaba: 		}
143923277f 2014-11-03        kinaba: };
143923277f 2014-11-03        kinaba: 
143923277f 2014-11-03        kinaba: class ShadowSculpture { public:
143923277f 2014-11-03        kinaba: 	string possible(vector <string> XY, vector <string> YZ, vector <string> ZX)
143923277f 2014-11-03        kinaba: 	{
143923277f 2014-11-03        kinaba: 		const int N = XY.size();
143923277f 2014-11-03        kinaba: 
143923277f 2014-11-03        kinaba: 		// Init
143923277f 2014-11-03        kinaba: 		bool XYZ[10][10][10];
143923277f 2014-11-03        kinaba: 		for(int x=0; x<N; ++x)
143923277f 2014-11-03        kinaba: 		for(int y=0; y<N; ++y)
143923277f 2014-11-03        kinaba: 		for(int z=0; z<N; ++z)
143923277f 2014-11-03        kinaba: 			XYZ[x][y][z] = true;
143923277f 2014-11-03        kinaba: 
143923277f 2014-11-03        kinaba: 		// Grave
143923277f 2014-11-03        kinaba: 		for(int x=0; x<N; ++x)
143923277f 2014-11-03        kinaba: 		for(int y=0; y<N; ++y)
143923277f 2014-11-03        kinaba: 		for(int z=0; z<N; ++z)
143923277f 2014-11-03        kinaba: 			if(XY[x][y] == 'N' || YZ[y][z] == 'N' || ZX[z][x] == 'N')
143923277f 2014-11-03        kinaba: 				XYZ[x][y][z] = false;
143923277f 2014-11-03        kinaba: 
143923277f 2014-11-03        kinaba: 		// Sanity check
143923277f 2014-11-03        kinaba: 		for(int x=0; x<N; ++x)
143923277f 2014-11-03        kinaba: 		for(int y=0; y<N; ++y) {
143923277f 2014-11-03        kinaba: 			bool a=false,b=false,c=false;
143923277f 2014-11-03        kinaba: 			for(int z=0; z<N; ++z) {
143923277f 2014-11-03        kinaba: 				a |= XYZ[x][y][z];
143923277f 2014-11-03        kinaba: 				b |= XYZ[z][x][y];
143923277f 2014-11-03        kinaba: 				c |= XYZ[y][z][x];
143923277f 2014-11-03        kinaba: 			}
143923277f 2014-11-03        kinaba: 			if(XY[x][y]=='Y'&&!a) return "Impossible";
143923277f 2014-11-03        kinaba: 			if(YZ[x][y]=='Y'&&!b) return "Impossible";
143923277f 2014-11-03        kinaba: 			if(ZX[x][y]=='Y'&&!c) return "Impossible";
143923277f 2014-11-03        kinaba: 		}
143923277f 2014-11-03        kinaba: 
143923277f 2014-11-03        kinaba: 		// Judge
143923277f 2014-11-03        kinaba: 		return is_connected(XYZ, N) ? "Possible" : "Impossible";
143923277f 2014-11-03        kinaba: 	}
143923277f 2014-11-03        kinaba: 
143923277f 2014-11-03        kinaba: 	bool is_connected(bool XYZ[10][10][10], int N)
143923277f 2014-11-03        kinaba: 	{
143923277f 2014-11-03        kinaba: 		UnionFind uf(N*N*N);
143923277f 2014-11-03        kinaba: 		function<int(int,int,int)> id = [&](int x, int y, int z) {
143923277f 2014-11-03        kinaba: 			return (x*N+y)*N+z;
143923277f 2014-11-03        kinaba: 		};
143923277f 2014-11-03        kinaba: 
143923277f 2014-11-03        kinaba: 		const int dx[] = {-1,+1,0,0,0,0};
143923277f 2014-11-03        kinaba: 		const int dy[] = {0,0,-1,+1,0,0};
143923277f 2014-11-03        kinaba: 		const int dz[] = {0,0,0,0,-1,+1};
143923277f 2014-11-03        kinaba: 		int cnt = 0;
143923277f 2014-11-03        kinaba: 		for(int x=0; x<N; ++x)
143923277f 2014-11-03        kinaba: 		for(int y=0; y<N; ++y)
143923277f 2014-11-03        kinaba: 		for(int z=0; z<N; ++z) if(XYZ[x][y][z]) {
143923277f 2014-11-03        kinaba: 			++cnt;
143923277f 2014-11-03        kinaba: 			for(int d=0; d<6; ++d) {
143923277f 2014-11-03        kinaba: 				int xx=x+dx[d], yy=y+dy[d], zz=z+dz[d];
143923277f 2014-11-03        kinaba: 				if(0<=xx&&xx<N&&0<=yy&&yy<N&&0<=zz&&zz<N&&XYZ[xx][yy][zz])
143923277f 2014-11-03        kinaba: 					uf.Union(id(x,y,z), id(xx,yy,zz));
143923277f 2014-11-03        kinaba: 			}
143923277f 2014-11-03        kinaba: 		}
143923277f 2014-11-03        kinaba: 
143923277f 2014-11-03        kinaba: 		for(int x=0; x<N; ++x)
143923277f 2014-11-03        kinaba: 		for(int y=0; y<N; ++y)
143923277f 2014-11-03        kinaba: 		for(int z=0; z<N; ++z) if(XYZ[x][y][z] && uf.size(id(x,y,z))!=cnt)
143923277f 2014-11-03        kinaba: 			return false;
143923277f 2014-11-03        kinaba: 		return true;
143923277f 2014-11-03        kinaba: 	}
143923277f 2014-11-03        kinaba: };
143923277f 2014-11-03        kinaba: 
143923277f 2014-11-03        kinaba: // BEGIN CUT HERE
143923277f 2014-11-03        kinaba: #include <ctime>
143923277f 2014-11-03        kinaba: double start_time; string timer()
143923277f 2014-11-03        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
143923277f 2014-11-03        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
143923277f 2014-11-03        kinaba:  { os << "{ ";
143923277f 2014-11-03        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
143923277f 2014-11-03        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
143923277f 2014-11-03        kinaba: void verify_case(const string& Expected, const string& Received) {
143923277f 2014-11-03        kinaba:  bool ok = (Expected == Received);
143923277f 2014-11-03        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
143923277f 2014-11-03        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
143923277f 2014-11-03        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
143923277f 2014-11-03        kinaba: #define END	 verify_case(_, ShadowSculpture().possible(XY, YZ, ZX));}
143923277f 2014-11-03        kinaba: int main(){
143923277f 2014-11-03        kinaba: 
143923277f 2014-11-03        kinaba: CASE(0)
143923277f 2014-11-03        kinaba: 	string XY_[] = {"YN","NN"};
143923277f 2014-11-03        kinaba: 	  vector <string> XY(XY_, XY_+sizeof(XY_)/sizeof(*XY_));
143923277f 2014-11-03        kinaba: 	string YZ_[] = {"YN","NN"};
143923277f 2014-11-03        kinaba: 	  vector <string> YZ(YZ_, YZ_+sizeof(YZ_)/sizeof(*YZ_));
143923277f 2014-11-03        kinaba: 	string ZX_[] = {"YN","NN"};
143923277f 2014-11-03        kinaba: 	  vector <string> ZX(ZX_, ZX_+sizeof(ZX_)/sizeof(*ZX_));
143923277f 2014-11-03        kinaba: 	string _ = "Possible";
143923277f 2014-11-03        kinaba: END
143923277f 2014-11-03        kinaba: CASE(1)
143923277f 2014-11-03        kinaba: 	string XY_[] = {"YN","NY"};
143923277f 2014-11-03        kinaba: 	  vector <string> XY(XY_, XY_+sizeof(XY_)/sizeof(*XY_));
143923277f 2014-11-03        kinaba: 	string YZ_[] = {"YN","NY"};
143923277f 2014-11-03        kinaba: 	  vector <string> YZ(YZ_, YZ_+sizeof(YZ_)/sizeof(*YZ_));
143923277f 2014-11-03        kinaba: 	string ZX_[] = {"YN","NY"};
143923277f 2014-11-03        kinaba: 	  vector <string> ZX(ZX_, ZX_+sizeof(ZX_)/sizeof(*ZX_));
143923277f 2014-11-03        kinaba: 	string _ = "Impossible";
143923277f 2014-11-03        kinaba: END
143923277f 2014-11-03        kinaba: CASE(2)
143923277f 2014-11-03        kinaba: 	string XY_[] = {"YYY","YNY","YYY"};
143923277f 2014-11-03        kinaba: 	  vector <string> XY(XY_, XY_+sizeof(XY_)/sizeof(*XY_));
143923277f 2014-11-03        kinaba: 	string YZ_[] = {"YYY","YNY","YYY"};
143923277f 2014-11-03        kinaba: 	  vector <string> YZ(YZ_, YZ_+sizeof(YZ_)/sizeof(*YZ_));
143923277f 2014-11-03        kinaba: 	string ZX_[] = {"YYY","YNY","YYY"};
143923277f 2014-11-03        kinaba: 	  vector <string> ZX(ZX_, ZX_+sizeof(ZX_)/sizeof(*ZX_));
143923277f 2014-11-03        kinaba: 	string _ = "Possible";
143923277f 2014-11-03        kinaba: END
143923277f 2014-11-03        kinaba: CASE(3)
143923277f 2014-11-03        kinaba: 	string XY_[] = {"YYY","YNY","YYY"};
143923277f 2014-11-03        kinaba: 	  vector <string> XY(XY_, XY_+sizeof(XY_)/sizeof(*XY_));
143923277f 2014-11-03        kinaba: 	string YZ_[] = {"NYY","YNY","YYY"};
143923277f 2014-11-03        kinaba: 	  vector <string> YZ(YZ_, YZ_+sizeof(YZ_)/sizeof(*YZ_));
143923277f 2014-11-03        kinaba: 	string ZX_[] = {"YYY","YNY","YYN"};
143923277f 2014-11-03        kinaba: 	  vector <string> ZX(ZX_, ZX_+sizeof(ZX_)/sizeof(*ZX_));
143923277f 2014-11-03        kinaba: 	string _ = "Impossible";
143923277f 2014-11-03        kinaba: END
143923277f 2014-11-03        kinaba: CASE(4)
143923277f 2014-11-03        kinaba: 	string XY_[] = {"N"};
143923277f 2014-11-03        kinaba: 	  vector <string> XY(XY_, XY_+sizeof(XY_)/sizeof(*XY_));
143923277f 2014-11-03        kinaba: 	string YZ_[] = {"N"};
143923277f 2014-11-03        kinaba: 	  vector <string> YZ(YZ_, YZ_+sizeof(YZ_)/sizeof(*YZ_));
143923277f 2014-11-03        kinaba: 	string ZX_[] = {"N"};
143923277f 2014-11-03        kinaba: 	  vector <string> ZX(ZX_, ZX_+sizeof(ZX_)/sizeof(*ZX_));
143923277f 2014-11-03        kinaba: 	string _ = "Possible";
143923277f 2014-11-03        kinaba: END
143923277f 2014-11-03        kinaba: /*
143923277f 2014-11-03        kinaba: CASE(5)
143923277f 2014-11-03        kinaba: 	string XY_[] = ;
143923277f 2014-11-03        kinaba: 	  vector <string> XY(XY_, XY_+sizeof(XY_)/sizeof(*XY_));
143923277f 2014-11-03        kinaba: 	string YZ_[] = ;
143923277f 2014-11-03        kinaba: 	  vector <string> YZ(YZ_, YZ_+sizeof(YZ_)/sizeof(*YZ_));
143923277f 2014-11-03        kinaba: 	string ZX_[] = ;
143923277f 2014-11-03        kinaba: 	  vector <string> ZX(ZX_, ZX_+sizeof(ZX_)/sizeof(*ZX_));
143923277f 2014-11-03        kinaba: 	string _ = ;
143923277f 2014-11-03        kinaba: END
143923277f 2014-11-03        kinaba: CASE(6)
143923277f 2014-11-03        kinaba: 	string XY_[] = ;
143923277f 2014-11-03        kinaba: 	  vector <string> XY(XY_, XY_+sizeof(XY_)/sizeof(*XY_));
143923277f 2014-11-03        kinaba: 	string YZ_[] = ;
143923277f 2014-11-03        kinaba: 	  vector <string> YZ(YZ_, YZ_+sizeof(YZ_)/sizeof(*YZ_));
143923277f 2014-11-03        kinaba: 	string ZX_[] = ;
143923277f 2014-11-03        kinaba: 	  vector <string> ZX(ZX_, ZX_+sizeof(ZX_)/sizeof(*ZX_));
143923277f 2014-11-03        kinaba: 	string _ = ;
143923277f 2014-11-03        kinaba: END
143923277f 2014-11-03        kinaba: */
143923277f 2014-11-03        kinaba: }
143923277f 2014-11-03        kinaba: // END CUT HERE