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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: static const LL INF = 0x1fffffffffffffffLL;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: template<typename T>
4fd800b3a8 2011-02-23        kinaba: struct DP3
4fd800b3a8 2011-02-23        kinaba: {
4fd800b3a8 2011-02-23        kinaba: 	int N1, N2, N3;
4fd800b3a8 2011-02-23        kinaba: 	vector<T> data;
4fd800b3a8 2011-02-23        kinaba: 	DP3(int N1, int N2, int N3, const T& t = T())
4fd800b3a8 2011-02-23        kinaba: 		: N1(N1), N2(N2), N3(N3), data(N1*N2*N3, t) { assert(data.size()*sizeof(T)<(1<<26)); }
4fd800b3a8 2011-02-23        kinaba: 	T& operator()(int i1, int i2, int i3)
4fd800b3a8 2011-02-23        kinaba: 		{ return data[ ((i1*N2)+i2)*N3+i3 ]; }
4fd800b3a8 2011-02-23        kinaba: 	void swap(DP3& rhs)
4fd800b3a8 2011-02-23        kinaba: 		{ data.swap(rhs.data); }
4fd800b3a8 2011-02-23        kinaba: };
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: class TimeTravellingTour { public:
4fd800b3a8 2011-02-23        kinaba: 	long long determineCost(int N, vector <int> cities, vector <string> roads)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		vector< vector<LL> > G(N, vector<LL>(N,INF));
4fd800b3a8 2011-02-23        kinaba: 		{
4fd800b3a8 2011-02-23        kinaba: 			string str = accumulate(roads.begin(), roads.end(), string(""));
4fd800b3a8 2011-02-23        kinaba: 			for(int i=0; i<str.size(); ++i)
4fd800b3a8 2011-02-23        kinaba: 				if( str[i] == ',' )
4fd800b3a8 2011-02-23        kinaba: 					str[i] = ' ';
4fd800b3a8 2011-02-23        kinaba: 			stringstream sin(str);
4fd800b3a8 2011-02-23        kinaba: 			for(int a,b,cost; sin>>a>>b>>cost; )
4fd800b3a8 2011-02-23        kinaba: 				G[a][b] = G[b][a] = cost;
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 		for(int i=0; i<N; ++i)
4fd800b3a8 2011-02-23        kinaba: 			G[i][i] = 0;
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: 
4fd800b3a8 2011-02-23        kinaba: 		DP3<LL> memo(N, cities.size()+1, cities.size()+1, -1);
4fd800b3a8 2011-02-23        kinaba: 		LL a = rec( 0, 0, cities.size(), cities, G, memo );
4fd800b3a8 2011-02-23        kinaba: 		return a>=INF ? -1 : a;
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	LL rec(int cur, int s, int e, const vector<int>& C, const vector< vector<LL> >& G, DP3<LL>& memo )
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		if( s+1 == e )
4fd800b3a8 2011-02-23        kinaba: 			return G[cur][C[s]];
4fd800b3a8 2011-02-23        kinaba: 		if( memo(cur,s,e) >= 0 )
4fd800b3a8 2011-02-23        kinaba: 			return memo(cur,s,e);
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		LL best = INF;
4fd800b3a8 2011-02-23        kinaba: 		for(int v=0; v<G[cur].size(); ++v)
4fd800b3a8 2011-02-23        kinaba: 			if( G[cur][v] < INF )
4fd800b3a8 2011-02-23        kinaba: 				for(int m=s+1; m<e; ++m)
4fd800b3a8 2011-02-23        kinaba: 					best = min(best, G[cur][v]+rec(v,s,m,C,G,memo)+rec(v,m,e,C,G,memo));
4fd800b3a8 2011-02-23        kinaba: 		return memo(cur,s,e) = best;
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 long long& Expected, const long long& 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(_, TimeTravellingTour().determineCost(N, cities, roads));}
4fd800b3a8 2011-02-23        kinaba: int main(){
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: CASE(0)
4fd800b3a8 2011-02-23        kinaba: 	int N = 5;
4fd800b3a8 2011-02-23        kinaba: 	int cities_[] = {2,3,2,4};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> cities(cities_, cities_+sizeof(cities_)/sizeof(*cities_));
4fd800b3a8 2011-02-23        kinaba: 	string roads_[] = {"0,2,4 0,1,2 2,1,2 1,3,3 4,0,4"};
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> roads(roads_, roads_+sizeof(roads_)/sizeof(*roads_));
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 13LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(1)
4fd800b3a8 2011-02-23        kinaba: 	int N = 3;
4fd800b3a8 2011-02-23        kinaba: 	int cities_[] = {1,0,1};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> cities(cities_, cities_+sizeof(cities_)/sizeof(*cities_));
4fd800b3a8 2011-02-23        kinaba: 	string roads_[] = {"0,2,1"," 2",",1,5"};
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> roads(roads_, roads_+sizeof(roads_)/sizeof(*roads_));
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 12LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(2)
4fd800b3a8 2011-02-23        kinaba: 	int N = 3;
4fd800b3a8 2011-02-23        kinaba: 	int cities_[] = {2};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> cities(cities_, cities_+sizeof(cities_)/sizeof(*cities_));
4fd800b3a8 2011-02-23        kinaba: 	string roads_[] = {"0,1,2"};
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> roads(roads_, roads_+sizeof(roads_)/sizeof(*roads_));
4fd800b3a8 2011-02-23        kinaba: 	long long _ = -1LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(3)
4fd800b3a8 2011-02-23        kinaba: 	int N = 6;
4fd800b3a8 2011-02-23        kinaba: 	int cities_[] = {4, 1, 3, 2};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> cities(cities_, cities_+sizeof(cities_)/sizeof(*cities_));
4fd800b3a8 2011-02-23        kinaba: 	string roads_[] = {"0,1,5 0,2,5 0,5,2 2,3,5 2,4,2 3,4,4 3,5,1"};
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> roads(roads_, roads_+sizeof(roads_)/sizeof(*roads_));
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 19LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: /*
4fd800b3a8 2011-02-23        kinaba: CASE(4)
4fd800b3a8 2011-02-23        kinaba: 	int N = ;
4fd800b3a8 2011-02-23        kinaba: 	int cities_[] = ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> cities(cities_, cities_+sizeof(cities_)/sizeof(*cities_));
4fd800b3a8 2011-02-23        kinaba: 	string roads_[] = ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> roads(roads_, roads_+sizeof(roads_)/sizeof(*roads_));
4fd800b3a8 2011-02-23        kinaba: 	long long _ = LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(5)
4fd800b3a8 2011-02-23        kinaba: 	int N = ;
4fd800b3a8 2011-02-23        kinaba: 	int cities_[] = ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> cities(cities_, cities_+sizeof(cities_)/sizeof(*cities_));
4fd800b3a8 2011-02-23        kinaba: 	string roads_[] = ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> roads(roads_, roads_+sizeof(roads_)/sizeof(*roads_));
4fd800b3a8 2011-02-23        kinaba: 	long long _ = LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: */
4fd800b3a8 2011-02-23        kinaba: }
4fd800b3a8 2011-02-23        kinaba: // END CUT HERE