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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: class PiecesMover { public:
4fd800b3a8 2011-02-23        kinaba: 	typedef vector< pair<int,int> > state;
4fd800b3a8 2011-02-23        kinaba: 	int getMinimumMoves(vector <string> board)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		set<state> V;
4fd800b3a8 2011-02-23        kinaba: 		vector<state> Q(1, to_state(board));
4fd800b3a8 2011-02-23        kinaba: 		V.insert( Q.front() );
4fd800b3a8 2011-02-23        kinaba: 		for(int step=0; !Q.empty(); ++step)
4fd800b3a8 2011-02-23        kinaba: 		{
4fd800b3a8 2011-02-23        kinaba: 			vector<state> Q_next;
4fd800b3a8 2011-02-23        kinaba: 			for(int i=0; i<Q.size(); ++i)
4fd800b3a8 2011-02-23        kinaba: 			{
4fd800b3a8 2011-02-23        kinaba: 				const state& b = Q[i];
4fd800b3a8 2011-02-23        kinaba: 				if( is_connected(b) )
4fd800b3a8 2011-02-23        kinaba: 					return step;
4fd800b3a8 2011-02-23        kinaba: 				const vector<state>& next = next_states(b);
4fd800b3a8 2011-02-23        kinaba: 				for(int j=0; j<next.size(); ++j)
4fd800b3a8 2011-02-23        kinaba: 					if( V.insert(next[j]).second )
4fd800b3a8 2011-02-23        kinaba: 						Q_next.push_back(next[j]);
4fd800b3a8 2011-02-23        kinaba: 			}
4fd800b3a8 2011-02-23        kinaba: 			Q.swap(Q_next);
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 		assert(false);
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	state to_state( const vector<string>& b )
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		state s;
4fd800b3a8 2011-02-23        kinaba: 		for(int y=0; y<5; ++y)
4fd800b3a8 2011-02-23        kinaba: 		for(int x=0; x<5; ++x)
4fd800b3a8 2011-02-23        kinaba: 			if( b[y][x] == '*' )
4fd800b3a8 2011-02-23        kinaba: 				s.push_back( make_pair(y,x) );
4fd800b3a8 2011-02-23        kinaba: 		sort( s.begin(), s.end() );
4fd800b3a8 2011-02-23        kinaba: 		return s;
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	bool is_connected( const state& s )
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		int N = s.size();
4fd800b3a8 2011-02-23        kinaba: 		vector< vector<int> > G(N, vector<int>(N));
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: 				if( i == j )
4fd800b3a8 2011-02-23        kinaba: 					G[i][j] = 0;
4fd800b3a8 2011-02-23        kinaba: 				else
4fd800b3a8 2011-02-23        kinaba: 					G[i][j] = (abs(s[i].first-s[j].first)+abs(s[i].second-s[j].second) == 1 ? 1 : 100);
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: 					G[i][j] = min(G[i][j], G[i][k]+G[k][j]);
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: 				if( G[i][j] > N )
4fd800b3a8 2011-02-23        kinaba: 					return false;
4fd800b3a8 2011-02-23        kinaba: 		return true;
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	vector<state> next_states( const state& s )
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		vector<state> result;
4fd800b3a8 2011-02-23        kinaba: 		for(int i=0; i<s.size(); ++i)
4fd800b3a8 2011-02-23        kinaba: 			for(int d=0; d<4; ++d)
4fd800b3a8 2011-02-23        kinaba: 			{
4fd800b3a8 2011-02-23        kinaba: 				set< pair<int,int> > x;
4fd800b3a8 2011-02-23        kinaba: 				for(int k=0; k<s.size(); ++k)
4fd800b3a8 2011-02-23        kinaba: 					if( i != k )
4fd800b3a8 2011-02-23        kinaba: 						x.insert( s[k] );
4fd800b3a8 2011-02-23        kinaba: 					else
4fd800b3a8 2011-02-23        kinaba: 					{
4fd800b3a8 2011-02-23        kinaba: 						static const int dy[] = {-1,+1,0,0};
4fd800b3a8 2011-02-23        kinaba: 						static const int dx[] = {0,0,-1,+1};
4fd800b3a8 2011-02-23        kinaba: 						int ny = s[k].first+dy[d];
4fd800b3a8 2011-02-23        kinaba: 						int nx = s[k].second+dx[d];
4fd800b3a8 2011-02-23        kinaba: 						if( 0<=ny && ny<5 && 0<=nx && nx<5 )
4fd800b3a8 2011-02-23        kinaba: 							x.insert( make_pair(ny, nx) );
4fd800b3a8 2011-02-23        kinaba: 					}
4fd800b3a8 2011-02-23        kinaba: 				if( x.size() == s.size() )
4fd800b3a8 2011-02-23        kinaba: 					result.push_back( state(x.begin(), x.end()) );
4fd800b3a8 2011-02-23        kinaba: 			}
4fd800b3a8 2011-02-23        kinaba: 		return result;
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()
4fd800b3a8 2011-02-23        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
4fd800b3a8 2011-02-23        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
4fd800b3a8 2011-02-23        kinaba:  { os << "{ ";
4fd800b3a8 2011-02-23        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
4fd800b3a8 2011-02-23        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
4fd800b3a8 2011-02-23        kinaba: void verify_case(const int& Expected, const int& Received) {
4fd800b3a8 2011-02-23        kinaba:  bool ok = (Expected == Received);
4fd800b3a8 2011-02-23        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
4fd800b3a8 2011-02-23        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
4fd800b3a8 2011-02-23        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
4fd800b3a8 2011-02-23        kinaba: #define END	 verify_case(_, PiecesMover().getMinimumMoves(board));}
4fd800b3a8 2011-02-23        kinaba: int main(){
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: CASE(0)
4fd800b3a8 2011-02-23        kinaba: 	string board_[] = {".....",
4fd800b3a8 2011-02-23        kinaba:  "..**.",
4fd800b3a8 2011-02-23        kinaba:  ".....",
4fd800b3a8 2011-02-23        kinaba:  "...*.",
4fd800b3a8 2011-02-23        kinaba:  "....."}
4fd800b3a8 2011-02-23        kinaba: ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> board(board_, board_+sizeof(board_)/sizeof(*board_));
4fd800b3a8 2011-02-23        kinaba: 	int _ = 1;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(1)
4fd800b3a8 2011-02-23        kinaba: 	string board_[] = {".....",
4fd800b3a8 2011-02-23        kinaba:  ".....",
4fd800b3a8 2011-02-23        kinaba:  ".**..",
4fd800b3a8 2011-02-23        kinaba:  ".*...",
4fd800b3a8 2011-02-23        kinaba:  "**..."}
4fd800b3a8 2011-02-23        kinaba: ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> board(board_, board_+sizeof(board_)/sizeof(*board_));
4fd800b3a8 2011-02-23        kinaba: 	int _ = 0;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(2)
4fd800b3a8 2011-02-23        kinaba: 	string board_[] = {"*...*",
4fd800b3a8 2011-02-23        kinaba:  ".....",
4fd800b3a8 2011-02-23        kinaba:  ".....",
4fd800b3a8 2011-02-23        kinaba:  ".....",
4fd800b3a8 2011-02-23        kinaba:  "*...*"}
4fd800b3a8 2011-02-23        kinaba: ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> board(board_, board_+sizeof(board_)/sizeof(*board_));
4fd800b3a8 2011-02-23        kinaba: 	int _ = 12;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: /*
4fd800b3a8 2011-02-23        kinaba: CASE(3)
4fd800b3a8 2011-02-23        kinaba: 	string board_[] = ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> board(board_, board_+sizeof(board_)/sizeof(*board_));
4fd800b3a8 2011-02-23        kinaba: 	int _ = ;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(4)
4fd800b3a8 2011-02-23        kinaba: 	string board_[] = ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> board(board_, board_+sizeof(board_)/sizeof(*board_));
4fd800b3a8 2011-02-23        kinaba: 	int _ = ;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: */
4fd800b3a8 2011-02-23        kinaba: }
4fd800b3a8 2011-02-23        kinaba: // END CUT HERE