8166493378 2012-05-12        kinaba: #include <iostream>
8166493378 2012-05-12        kinaba: #include <sstream>
8166493378 2012-05-12        kinaba: #include <iomanip>
8166493378 2012-05-12        kinaba: #include <vector>
8166493378 2012-05-12        kinaba: #include <string>
8166493378 2012-05-12        kinaba: #include <map>
8166493378 2012-05-12        kinaba: #include <set>
8166493378 2012-05-12        kinaba: #include <algorithm>
8166493378 2012-05-12        kinaba: #include <numeric>
8166493378 2012-05-12        kinaba: #include <iterator>
8166493378 2012-05-12        kinaba: #include <functional>
8166493378 2012-05-12        kinaba: #include <complex>
8166493378 2012-05-12        kinaba: #include <queue>
8166493378 2012-05-12        kinaba: #include <stack>
8166493378 2012-05-12        kinaba: #include <cmath>
8166493378 2012-05-12        kinaba: #include <cassert>
8166493378 2012-05-12        kinaba: #include <cstring>
8166493378 2012-05-12        kinaba: #ifdef __GNUC__
8166493378 2012-05-12        kinaba: #include <ext/hash_map>
8166493378 2012-05-12        kinaba: #define unordered_map __gnu_cxx::hash_map
8166493378 2012-05-12        kinaba: #else
8166493378 2012-05-12        kinaba: #include <unordered_map>
8166493378 2012-05-12        kinaba: #endif
8166493378 2012-05-12        kinaba: using namespace std;
8166493378 2012-05-12        kinaba: typedef long long LL;
8166493378 2012-05-12        kinaba: typedef complex<double> CMP;
8166493378 2012-05-12        kinaba: 
8166493378 2012-05-12        kinaba: typedef int           vert;
8166493378 2012-05-12        kinaba: typedef vert          edge;
8166493378 2012-05-12        kinaba: typedef vector<edge>  edges;
8166493378 2012-05-12        kinaba: typedef vector<edges> graph;
8166493378 2012-05-12        kinaba: 
8166493378 2012-05-12        kinaba: bool augment( graph& G, int v, vector<vert>& matchTo, bool visited[] )
8166493378 2012-05-12        kinaba: {
8166493378 2012-05-12        kinaba: 	for(int i=0; i<G[v].size(); ++i) {
8166493378 2012-05-12        kinaba: 		vert u = G[v][i];
8166493378 2012-05-12        kinaba: 		if( visited[u] ) continue;
8166493378 2012-05-12        kinaba: 		visited[u] = true;
8166493378 2012-05-12        kinaba: 
8166493378 2012-05-12        kinaba: 		if( matchTo[u]<0 || augment(G, matchTo[u], matchTo, visited) )
8166493378 2012-05-12        kinaba: 			{ matchTo[v]=u, matchTo[u]=v; return true; }
8166493378 2012-05-12        kinaba: 	}
8166493378 2012-05-12        kinaba: 	return false;
8166493378 2012-05-12        kinaba: }
8166493378 2012-05-12        kinaba: 
8166493378 2012-05-12        kinaba: template<int NV>
8166493378 2012-05-12        kinaba: int biMatch( graph& G, int L )
8166493378 2012-05-12        kinaba: {
8166493378 2012-05-12        kinaba: 	vector<vert> matchTo(G.size(), -1);
8166493378 2012-05-12        kinaba: 	int ans = 0;
8166493378 2012-05-12        kinaba: 	for(vert v=0; v<L; ++v) {
8166493378 2012-05-12        kinaba: 		bool visited[NV] = {};
8166493378 2012-05-12        kinaba: 		if( augment(G, v, matchTo, visited) )
8166493378 2012-05-12        kinaba: 			++ans;
8166493378 2012-05-12        kinaba: 	}
8166493378 2012-05-12        kinaba: 	return ans;
8166493378 2012-05-12        kinaba: }
8166493378 2012-05-12        kinaba: 
8166493378 2012-05-12        kinaba: class SwitchesAndLamps { public:
8166493378 2012-05-12        kinaba: 	int theMin(vector <string> switches, vector <string> lamps)
8166493378 2012-05-12        kinaba: 	{
8166493378 2012-05-12        kinaba: 		const int N = switches[0].size();
8166493378 2012-05-12        kinaba: 		const int E = switches.size();
8166493378 2012-05-12        kinaba: 
8166493378 2012-05-12        kinaba: 		vector< vector<bool> > uneq(N, vector<bool>(N));
8166493378 2012-05-12        kinaba: 
8166493378 2012-05-12        kinaba: 		vector<LL> id(N, 1);
8166493378 2012-05-12        kinaba: 		for(int e=0; e<E; ++e) {
8166493378 2012-05-12        kinaba: 			for(int s=0; s<N; ++s) {
8166493378 2012-05-12        kinaba: 				id[s] = id[s]*2 + (switches[e][s]=='Y' ? 0 : 1);
8166493378 2012-05-12        kinaba: 				for(int l=0; l<N; ++l) {
8166493378 2012-05-12        kinaba: 					if( switches[e][s] != lamps[e][l] )
8166493378 2012-05-12        kinaba: 						uneq[s][l] = true;
8166493378 2012-05-12        kinaba: 				}
8166493378 2012-05-12        kinaba: 			}
8166493378 2012-05-12        kinaba: 		}
8166493378 2012-05-12        kinaba: 
8166493378 2012-05-12        kinaba: 		graph G(N*2);
8166493378 2012-05-12        kinaba: 		for(int s=0; s<N; ++s)
8166493378 2012-05-12        kinaba: 			for(int l=0; l<N; ++l)
8166493378 2012-05-12        kinaba: 				if( !uneq[s][l] )
8166493378 2012-05-12        kinaba: 					G[s].push_back(N+l);
8166493378 2012-05-12        kinaba: 		if( N > biMatch<100>(G, N) )
8166493378 2012-05-12        kinaba: 			return -1;
8166493378 2012-05-12        kinaba: 
8166493378 2012-05-12        kinaba: 		map<LL, int> sizes;
8166493378 2012-05-12        kinaba: 		int maxSize = 1;
8166493378 2012-05-12        kinaba: 		for(int s=0; s<N; ++s)
8166493378 2012-05-12        kinaba: 			maxSize = max(maxSize, ++sizes[id[s]]);
8166493378 2012-05-12        kinaba: 		return calcNeed(maxSize);
8166493378 2012-05-12        kinaba: 	}
8166493378 2012-05-12        kinaba: 
8166493378 2012-05-12        kinaba: 	int calcNeed(int maxSize)
8166493378 2012-05-12        kinaba: 	{
8166493378 2012-05-12        kinaba: 		if( maxSize<=1 )
8166493378 2012-05-12        kinaba: 			return 0;
8166493378 2012-05-12        kinaba: 		return 1 + calcNeed((maxSize+1)/2);
8166493378 2012-05-12        kinaba: 	}
8166493378 2012-05-12        kinaba: };
8166493378 2012-05-12        kinaba: 
8166493378 2012-05-12        kinaba: // BEGIN CUT HERE
8166493378 2012-05-12        kinaba: #include <ctime>
8166493378 2012-05-12        kinaba: double start_time; string timer()
8166493378 2012-05-12        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
8166493378 2012-05-12        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
8166493378 2012-05-12        kinaba:  { os << "{ ";
8166493378 2012-05-12        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
8166493378 2012-05-12        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
8166493378 2012-05-12        kinaba: void verify_case(const int& Expected, const int& Received) {
8166493378 2012-05-12        kinaba:  bool ok = (Expected == Received);
8166493378 2012-05-12        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
8166493378 2012-05-12        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
8166493378 2012-05-12        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
8166493378 2012-05-12        kinaba: #define END	 verify_case(_, SwitchesAndLamps().theMin(switches, lamps));}
8166493378 2012-05-12        kinaba: int main(){
8166493378 2012-05-12        kinaba: 
8166493378 2012-05-12        kinaba: CASE(0)
8166493378 2012-05-12        kinaba: 	string switches_[] = {"NYNN", "NNYN"};
8166493378 2012-05-12        kinaba: 	  vector <string> switches(switches_, switches_+sizeof(switches_)/sizeof(*switches_));
8166493378 2012-05-12        kinaba: 	string lamps_[] = {"NNNY", "NNYN"};
8166493378 2012-05-12        kinaba: 	  vector <string> lamps(lamps_, lamps_+sizeof(lamps_)/sizeof(*lamps_));
8166493378 2012-05-12        kinaba: 	int _ = 1;
8166493378 2012-05-12        kinaba: END
8166493378 2012-05-12        kinaba: CASE(1)
8166493378 2012-05-12        kinaba: 	string switches_[] = {"YYN", "YNY", "YYN"};
8166493378 2012-05-12        kinaba: 	  vector <string> switches(switches_, switches_+sizeof(switches_)/sizeof(*switches_));
8166493378 2012-05-12        kinaba: 	string lamps_[] = {"YNY", "NYY", "YNY"};
8166493378 2012-05-12        kinaba: 	  vector <string> lamps(lamps_, lamps_+sizeof(lamps_)/sizeof(*lamps_));
8166493378 2012-05-12        kinaba: 	int _ = 0;
8166493378 2012-05-12        kinaba: END
8166493378 2012-05-12        kinaba: CASE(2)
8166493378 2012-05-12        kinaba: 	string switches_[] = {"NYYYNYNNYYYNYNNNNY",
8166493378 2012-05-12        kinaba: 	                      "NYYYNYNNYYYNYNNNNY"};
8166493378 2012-05-12        kinaba: 	  vector <string> switches(switches_, switches_+sizeof(switches_)/sizeof(*switches_));
8166493378 2012-05-12        kinaba: 	string lamps_[] =    {"YYYNNNYNNYNYNYNYNY",
8166493378 2012-05-12        kinaba: 		                  "YYYNNNYNNYNYYNNYNY"};
8166493378 2012-05-12        kinaba: 	  vector <string> lamps(lamps_, lamps_+sizeof(lamps_)/sizeof(*lamps_));
8166493378 2012-05-12        kinaba: 	int _ = -1;
8166493378 2012-05-12        kinaba: END
8166493378 2012-05-12        kinaba: CASE(3)
8166493378 2012-05-12        kinaba: 	string switches_[] = {"YYNNN", "NNYYN"};
8166493378 2012-05-12        kinaba: 	  vector <string> switches(switches_, switches_+sizeof(switches_)/sizeof(*switches_));
8166493378 2012-05-12        kinaba: 	string lamps_[] =    {"NYNNY", "NNNYY"};
8166493378 2012-05-12        kinaba: 	  vector <string> lamps(lamps_, lamps_+sizeof(lamps_)/sizeof(*lamps_));
8166493378 2012-05-12        kinaba: 	int _ = -1;
8166493378 2012-05-12        kinaba: END
8166493378 2012-05-12        kinaba: CASE(4)
8166493378 2012-05-12        kinaba: 	string switches_[] = {"YNNYNNYNYY", "NYNNYNYNYN", "YNYNYYYYYN", "NNYYNYNYNN"};
8166493378 2012-05-12        kinaba: 	  vector <string> switches(switches_, switches_+sizeof(switches_)/sizeof(*switches_));
8166493378 2012-05-12        kinaba: 	string lamps_[] = {"NYYNYNNYNY", "NYYYNNYNNN", "YYYYNYNNYY", "YNNNNYNYYN"};
8166493378 2012-05-12        kinaba: 	  vector <string> lamps(lamps_, lamps_+sizeof(lamps_)/sizeof(*lamps_));
8166493378 2012-05-12        kinaba: 	int _ = 2;
8166493378 2012-05-12        kinaba: END
8166493378 2012-05-12        kinaba: CASE(5)
8166493378 2012-05-12        kinaba: string switches_[] = {"YYNNN", "YNNNN", "NYNNN"};
8166493378 2012-05-12        kinaba: 	  vector <string> switches(switches_, switches_+sizeof(switches_)/sizeof(*switches_));
8166493378 2012-05-12        kinaba: string lamps_[] = {"YYNNN", "YNNNN", "NNYNN"};
8166493378 2012-05-12        kinaba: 	  vector <string> lamps(lamps_, lamps_+sizeof(lamps_)/sizeof(*lamps_));
8166493378 2012-05-12        kinaba: 	int _ = -1;
8166493378 2012-05-12        kinaba: END
8166493378 2012-05-12        kinaba: CASE(6)
8166493378 2012-05-12        kinaba: string switches_[] = {"YYNNN", "YNNNN", "NYNNN"};
8166493378 2012-05-12        kinaba: 	  vector <string> switches(switches_, switches_+sizeof(switches_)/sizeof(*switches_));
8166493378 2012-05-12        kinaba: string lamps_[] = {"YYNNN", "YNNNN", "YNNNN"};
8166493378 2012-05-12        kinaba: 	  vector <string> lamps(lamps_, lamps_+sizeof(lamps_)/sizeof(*lamps_));
8166493378 2012-05-12        kinaba: 	int _ = -1;
8166493378 2012-05-12        kinaba: END
8166493378 2012-05-12        kinaba: /*
8166493378 2012-05-12        kinaba: CASE(6)
8166493378 2012-05-12        kinaba: 	string switches_[] = ;
8166493378 2012-05-12        kinaba: 	  vector <string> switches(switches_, switches_+sizeof(switches_)/sizeof(*switches_));
8166493378 2012-05-12        kinaba: 	string lamps_[] = ;
8166493378 2012-05-12        kinaba: 	  vector <string> lamps(lamps_, lamps_+sizeof(lamps_)/sizeof(*lamps_));
8166493378 2012-05-12        kinaba: 	int _ = ;
8166493378 2012-05-12        kinaba: END
8166493378 2012-05-12        kinaba: */
8166493378 2012-05-12        kinaba: }
8166493378 2012-05-12        kinaba: // END CUT HERE