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4fd800b3a8 2011-02-23        kinaba: #include <iostream>
4fd800b3a8 2011-02-23        kinaba: #include <sstream>
4fd800b3a8 2011-02-23        kinaba: #include <iomanip>
4fd800b3a8 2011-02-23        kinaba: #include <vector>
4fd800b3a8 2011-02-23        kinaba: #include <string>
4fd800b3a8 2011-02-23        kinaba: #include <map>
4fd800b3a8 2011-02-23        kinaba: #include <set>
4fd800b3a8 2011-02-23        kinaba: #include <algorithm>
4fd800b3a8 2011-02-23        kinaba: #include <numeric>
4fd800b3a8 2011-02-23        kinaba: #include <iterator>
4fd800b3a8 2011-02-23        kinaba: #include <functional>
4fd800b3a8 2011-02-23        kinaba: #include <complex>
4fd800b3a8 2011-02-23        kinaba: #include <queue>
4fd800b3a8 2011-02-23        kinaba: #include <stack>
4fd800b3a8 2011-02-23        kinaba: #include <cmath>
4fd800b3a8 2011-02-23        kinaba: #include <cassert>
4fd800b3a8 2011-02-23        kinaba: #include <cstring>
4fd800b3a8 2011-02-23        kinaba: using namespace std;
4fd800b3a8 2011-02-23        kinaba: typedef long long LL;
4fd800b3a8 2011-02-23        kinaba: typedef complex<double> CMP;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: typedef int           vert;
4fd800b3a8 2011-02-23        kinaba: typedef vert          edge;
4fd800b3a8 2011-02-23        kinaba: typedef vector<edge>  edges;
4fd800b3a8 2011-02-23        kinaba: typedef vector<edges> graph;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: bool augment( graph& G, int v, vector<vert>& matchTo, bool visited[] )
4fd800b3a8 2011-02-23        kinaba: {
4fd800b3a8 2011-02-23        kinaba: 	for(int i=0; i<G[v].size(); ++i) {
4fd800b3a8 2011-02-23        kinaba: 		vert u = G[v][i];
4fd800b3a8 2011-02-23        kinaba: 		if( visited[u] ) continue;
4fd800b3a8 2011-02-23        kinaba: 		visited[u] = true;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		if( matchTo[u]<0 || augment(G, matchTo[u], matchTo, visited) )
4fd800b3a8 2011-02-23        kinaba: 			{ matchTo[v]=u, matchTo[u]=v; return true; }
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 	return false;
4fd800b3a8 2011-02-23        kinaba: }
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: template<int NV>
4fd800b3a8 2011-02-23        kinaba: int biMatch( graph& G, int L ) // [0,L):left, [L,?):right
4fd800b3a8 2011-02-23        kinaba:     // only left->right edges are used during computation
4fd800b3a8 2011-02-23        kinaba: {
4fd800b3a8 2011-02-23        kinaba: 	vector<vert> matchTo(G.size(), -1);
4fd800b3a8 2011-02-23        kinaba: 	int ans = 0;
4fd800b3a8 2011-02-23        kinaba: 	for(vert v=0; v<L; ++v) {
4fd800b3a8 2011-02-23        kinaba: 		bool visited[NV] = {};
4fd800b3a8 2011-02-23        kinaba: 		if( augment(G, v, matchTo, visited) )
4fd800b3a8 2011-02-23        kinaba: 			++ans;
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 	return ans;
4fd800b3a8 2011-02-23        kinaba: }
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: class CompanyRestructuring {
4fd800b3a8 2011-02-23        kinaba: public:
4fd800b3a8 2011-02-23        kinaba: 	int fewestDivisions(vector <string> hasManaged)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		int N = hasManaged.size();
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		bool hm[50][50], hmStar[50][50];
4fd800b3a8 2011-02-23        kinaba: 		for(int i=0; i<N; ++i)
4fd800b3a8 2011-02-23        kinaba: 			for(int j=0; j<N; ++j)
4fd800b3a8 2011-02-23        kinaba: 				hm[i][j] = hmStar[i][j] = hasManaged[i][j]=='Y';
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		for(int k=0; k<N; ++k)
4fd800b3a8 2011-02-23        kinaba: 			for(int i=0; i<N; ++i)
4fd800b3a8 2011-02-23        kinaba: 				for(int j=0; j<N; ++j)
4fd800b3a8 2011-02-23        kinaba: 					hmStar[i][j] |= hmStar[i][k] & hmStar[k][j];
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		graph g(N);
4fd800b3a8 2011-02-23        kinaba: 		int nextID = N;
4fd800b3a8 2011-02-23        kinaba: 		for(int p=0; p<N; ++p)
4fd800b3a8 2011-02-23        kinaba: 		{
4fd800b3a8 2011-02-23        kinaba: 			vector<int> cs;
4fd800b3a8 2011-02-23        kinaba: 			vector<int> pi;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 			for(int c=0; c<N; ++c)
4fd800b3a8 2011-02-23        kinaba: 				if( hm[p][c] && !hmStar[c][p] )
4fd800b3a8 2011-02-23        kinaba: 				{
4fd800b3a8 2011-02-23        kinaba: 					int pid = -1;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 					for(int j=0; j<cs.size(); ++j)
4fd800b3a8 2011-02-23        kinaba: 						if( hmStar[c][cs[j]] && hmStar[cs[j]][c] )
4fd800b3a8 2011-02-23        kinaba: 							{pid = pi[j]; break;}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 					if(pid<0) pid = nextID++;
4fd800b3a8 2011-02-23        kinaba: 					cs.push_back(c);
4fd800b3a8 2011-02-23        kinaba: 					pi.push_back(pid);
4fd800b3a8 2011-02-23        kinaba: 					g[c].push_back(pid);
4fd800b3a8 2011-02-23        kinaba: 				}
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 		g.resize(nextID);
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		return N - biMatch<5000>(g, N);
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: };
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: // BEGIN CUT HERE
4fd800b3a8 2011-02-23        kinaba: #include <ctime>
4fd800b3a8 2011-02-23        kinaba: double start_time;string timer() { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: template <typename T> string print_array(const vector<T> &V) { ostringstream os; os << "{ "; for (typename vector<T>::const_iterator iter = V.begin(); iter != V.end(); ++iter) os << '\"' << *iter << "\","; os << " }"; return os.str(); }
4fd800b3a8 2011-02-23        kinaba: int verify_case(const int &Expected, const int &Received) { if (Expected == Received) cerr << "PASSED" << timer() << endl; else { cerr << "FAILED" << timer() << endl; cerr << "\tExpected: \"" << Expected << '\"' << endl; cerr << "\tReceived: \"" << Received << '\"' << endl; } return 0;}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: template<int N> struct Case_ { Case_(){start_time=clock();} };
4fd800b3a8 2011-02-23        kinaba: char Test_(...);
4fd800b3a8 2011-02-23        kinaba: int Test_(Case_<0>) {
4fd800b3a8 2011-02-23        kinaba: 	string hasManaged_[] = {"NNNN","NNYN","NNNN","YYYN"};
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> hasManaged(hasManaged_, hasManaged_+sizeof(hasManaged_)/sizeof(*hasManaged_));
4fd800b3a8 2011-02-23        kinaba: 	int RetVal = 1;
4fd800b3a8 2011-02-23        kinaba: 	return verify_case(RetVal, CompanyRestructuring().fewestDivisions(hasManaged)); }
4fd800b3a8 2011-02-23        kinaba: int Test_(Case_<1>) {
4fd800b3a8 2011-02-23        kinaba: 	string hasManaged_[] = {"NNYN","NNYN","YNNN","YYYN"};
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> hasManaged(hasManaged_, hasManaged_+sizeof(hasManaged_)/sizeof(*hasManaged_));
4fd800b3a8 2011-02-23        kinaba: 	int RetVal = 1;
4fd800b3a8 2011-02-23        kinaba: 	return verify_case(RetVal, CompanyRestructuring().fewestDivisions(hasManaged)); }
4fd800b3a8 2011-02-23        kinaba: int Test_(Case_<2>) {
4fd800b3a8 2011-02-23        kinaba: 	string hasManaged_[] = {"NYNNN","NNYNN","NNNYN","NNNNY","YNNNN"};
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> hasManaged(hasManaged_, hasManaged_+sizeof(hasManaged_)/sizeof(*hasManaged_));
4fd800b3a8 2011-02-23        kinaba: 	int RetVal = 5;
4fd800b3a8 2011-02-23        kinaba: 	return verify_case(RetVal, CompanyRestructuring().fewestDivisions(hasManaged)); }
4fd800b3a8 2011-02-23        kinaba: int Test_(Case_<3>) {
4fd800b3a8 2011-02-23        kinaba: 	string hasManaged_[] = {"NYNYYYNN"
4fd800b3a8 2011-02-23        kinaba: ,"NNNNYYNN"
4fd800b3a8 2011-02-23        kinaba: ,"NYNNYYNN"
4fd800b3a8 2011-02-23        kinaba: ,"NNYNYYNN"
4fd800b3a8 2011-02-23        kinaba: ,"NNNNNNNN"
4fd800b3a8 2011-02-23        kinaba: ,"NYYNYNNN"
4fd800b3a8 2011-02-23        kinaba: ,"YYNYYYNN"
4fd800b3a8 2011-02-23        kinaba: ,"YYNYYYYN"};
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> hasManaged(hasManaged_, hasManaged_+sizeof(hasManaged_)/sizeof(*hasManaged_));
4fd800b3a8 2011-02-23        kinaba: 	int RetVal = 1;
4fd800b3a8 2011-02-23        kinaba: 	return verify_case(RetVal, CompanyRestructuring().fewestDivisions(hasManaged)); }
4fd800b3a8 2011-02-23        kinaba: int Test_(Case_<4>) {
4fd800b3a8 2011-02-23        kinaba: 	string hasManaged_[] = {"NYNYNNYYNYNNNYYNYNYY"
4fd800b3a8 2011-02-23        kinaba: ,"YNNNNNYYNNNYYNYNYNYY"
4fd800b3a8 2011-02-23        kinaba: ,"NNNNNNYYNNNYYNYNNNNY"
4fd800b3a8 2011-02-23        kinaba: ,"YNYNNNNYNNNYNNYNYNNY"
4fd800b3a8 2011-02-23        kinaba: ,"NYNNNNNYYYYNYNYYNNYN"
4fd800b3a8 2011-02-23        kinaba: ,"YYYYNNYNYNNNNNYYNYNY"
4fd800b3a8 2011-02-23        kinaba: ,"NNNNNNNNNNNYYNNNNNYY"
4fd800b3a8 2011-02-23        kinaba: ,"NNNNNNYNNNNYYNYNNNYN"
4fd800b3a8 2011-02-23        kinaba: ,"NYYYNNNYNNNNYYNYYNYY"
4fd800b3a8 2011-02-23        kinaba: ,"NNYNNNYYNNNNYNNNNNYY"
4fd800b3a8 2011-02-23        kinaba: ,"YYNNNYNNYNNNNYNNYNYY"
4fd800b3a8 2011-02-23        kinaba: ,"NNNNNNNYNNNNYNYNNNNY"
4fd800b3a8 2011-02-23        kinaba: ,"NNNNNNYNNNNYNNNNNNNN"
4fd800b3a8 2011-02-23        kinaba: ,"NNYNNNNNNNNYYNYNNYYN"
4fd800b3a8 2011-02-23        kinaba: ,"NNNNNNNNNNNYNNNNNNNY"
4fd800b3a8 2011-02-23        kinaba: ,"YNYYNYYNNNYYNNNNYNYY"
4fd800b3a8 2011-02-23        kinaba: ,"NYNNNNNYNYNYYYYNNNNY"
4fd800b3a8 2011-02-23        kinaba: ,"NNYNNNNYNYNYYYNNNNYY"
4fd800b3a8 2011-02-23        kinaba: ,"NNNNNNNYNNNYNNNNNNNY"
4fd800b3a8 2011-02-23        kinaba: ,"NNNNNNYYNNNYYNYNNNYN"};
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> hasManaged(hasManaged_, hasManaged_+sizeof(hasManaged_)/sizeof(*hasManaged_));
4fd800b3a8 2011-02-23        kinaba: 	int RetVal = 4;
4fd800b3a8 2011-02-23        kinaba: 	return verify_case(RetVal, CompanyRestructuring().fewestDivisions(hasManaged)); }
4fd800b3a8 2011-02-23        kinaba: int Test_(Case_<5>) {
4fd800b3a8 2011-02-23        kinaba: 	string hasManaged_[] = {"NNNYNNNNNNNYNNNNNNNN"
4fd800b3a8 2011-02-23        kinaba: ,"NNNNNNYNNYNNNNNYNYYN"
4fd800b3a8 2011-02-23        kinaba: ,"YNNNNNYNYNNNNNNNNNNY"
4fd800b3a8 2011-02-23        kinaba: ,"YNNNNNNNNNNNNNNNNNNN"
4fd800b3a8 2011-02-23        kinaba: ,"NNYNNNYNYNNYNNYNNNNY"
4fd800b3a8 2011-02-23        kinaba: ,"NNNYNNNNNNNYNNYYYNYY"
4fd800b3a8 2011-02-23        kinaba: ,"NNYYNNNNYNNNNNNNNNNY"
4fd800b3a8 2011-02-23        kinaba: ,"NYNNNYNNYNNNYNYNYNNN"
4fd800b3a8 2011-02-23        kinaba: ,"NNNNNNNNNNNNNNNNNNNN"
4fd800b3a8 2011-02-23        kinaba: ,"YNNNNNNNNNNYNNYYNNYN"
4fd800b3a8 2011-02-23        kinaba: ,"NNYYNYNNYYNNNNYYNYNN"
4fd800b3a8 2011-02-23        kinaba: ,"NNNNNNNNYNNNNNNNNNNN"
4fd800b3a8 2011-02-23        kinaba: ,"NNNYYNYNYYYYNNNNYNYY"
4fd800b3a8 2011-02-23        kinaba: ,"NNYYNYNNYYYYNNNNNYNY"
4fd800b3a8 2011-02-23        kinaba: ,"NNYYYNNNYNNNNNNNNNNN"
4fd800b3a8 2011-02-23        kinaba: ,"YNNYYYNNNNNNNNYNYNYY"
4fd800b3a8 2011-02-23        kinaba: ,"NNNNYNYNNNNYNNYNNNNN"
4fd800b3a8 2011-02-23        kinaba: ,"YNNYYYYNNYNNYNNNYNYN"
4fd800b3a8 2011-02-23        kinaba: ,"YNNYYYYNYNNYNNYYYNNY"
4fd800b3a8 2011-02-23        kinaba: ,"YNYNNNNNYNNYNNNNNNNN"};
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> hasManaged(hasManaged_, hasManaged_+sizeof(hasManaged_)/sizeof(*hasManaged_));
4fd800b3a8 2011-02-23        kinaba: 	int RetVal = 2;
4fd800b3a8 2011-02-23        kinaba: 	return verify_case(RetVal, CompanyRestructuring().fewestDivisions(hasManaged)); }
4fd800b3a8 2011-02-23        kinaba: int Test_(Case_<6>) {
4fd800b3a8 2011-02-23        kinaba: 	string hasManaged_[] = {"NNNNN","NNNNN","NNNNN","NNNNN","NNNNN"};
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> hasManaged(hasManaged_, hasManaged_+sizeof(hasManaged_)/sizeof(*hasManaged_));
4fd800b3a8 2011-02-23        kinaba: 	int RetVal = 5;
4fd800b3a8 2011-02-23        kinaba: 	return verify_case(RetVal, CompanyRestructuring().fewestDivisions(hasManaged)); }
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: template<int N> void Run_() { cerr << "Test Case #" << N << "..." << flush; Test_(Case_<N>()); Run_<sizeof(Test_(Case_<N+1>()))==1 ? -1 : N+1>(); }
4fd800b3a8 2011-02-23        kinaba: template<>      void Run_<-1>() {}
4fd800b3a8 2011-02-23        kinaba: int main() { Run_<0>(); }
4fd800b3a8 2011-02-23        kinaba: // END CUT HERE
4fd800b3a8 2011-02-23        kinaba: