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006cf643bb 2013-06-22        kinaba: #include <iostream>
006cf643bb 2013-06-22        kinaba: #include <sstream>
006cf643bb 2013-06-22        kinaba: #include <iomanip>
006cf643bb 2013-06-22        kinaba: #include <vector>
006cf643bb 2013-06-22        kinaba: #include <string>
006cf643bb 2013-06-22        kinaba: #include <map>
006cf643bb 2013-06-22        kinaba: #include <set>
006cf643bb 2013-06-22        kinaba: #include <algorithm>
006cf643bb 2013-06-22        kinaba: #include <numeric>
006cf643bb 2013-06-22        kinaba: #include <iterator>
006cf643bb 2013-06-22        kinaba: #include <functional>
006cf643bb 2013-06-22        kinaba: #include <complex>
006cf643bb 2013-06-22        kinaba: #include <queue>
006cf643bb 2013-06-22        kinaba: #include <stack>
006cf643bb 2013-06-22        kinaba: #include <cmath>
006cf643bb 2013-06-22        kinaba: #include <cassert>
006cf643bb 2013-06-22        kinaba: using namespace std;
006cf643bb 2013-06-22        kinaba: typedef long long LL;
006cf643bb 2013-06-22        kinaba: typedef long double LD;
006cf643bb 2013-06-22        kinaba: typedef complex<double> CMP;
006cf643bb 2013-06-22        kinaba: 
006cf643bb 2013-06-22        kinaba: class TurnOnLamps { public:
006cf643bb 2013-06-22        kinaba: 	typedef int Vert;
006cf643bb 2013-06-22        kinaba: 	struct Edge {
006cf643bb 2013-06-22        kinaba: 		bool init;
006cf643bb 2013-06-22        kinaba: 		bool goal;
006cf643bb 2013-06-22        kinaba: 		Vert from;
006cf643bb 2013-06-22        kinaba: 		Vert to;
006cf643bb 2013-06-22        kinaba: 	};
006cf643bb 2013-06-22        kinaba: 
006cf643bb 2013-06-22        kinaba: 	int minimize(vector <int> roads, string initState, string isImportant)
006cf643bb 2013-06-22        kinaba: 	{
006cf643bb 2013-06-22        kinaba: 		int N = roads.size() + 1;
006cf643bb 2013-06-22        kinaba: 		vector< vector<Edge> > G(N);
006cf643bb 2013-06-22        kinaba: 		for(int i=0; i<roads.size(); ++i)
006cf643bb 2013-06-22        kinaba: 		{
006cf643bb 2013-06-22        kinaba: 			int v = i+1;
006cf643bb 2013-06-22        kinaba: 			int u = roads[i];
006cf643bb 2013-06-22        kinaba: 			{Edge e = {initState[i]=='1', isImportant[i]=='1', v, u}; G[v].push_back(e);}
006cf643bb 2013-06-22        kinaba: 			{Edge e = {initState[i]=='1', isImportant[i]=='1', u, v}; G[u].push_back(e);}
006cf643bb 2013-06-22        kinaba: 		}
006cf643bb 2013-06-22        kinaba: 
006cf643bb 2013-06-22        kinaba: 		Edge e = {false, false, -1, 0};
006cf643bb 2013-06-22        kinaba: 		pair<int,int> rr = rec(e, G);
006cf643bb 2013-06-22        kinaba: 		return min(rr.first, rr.second);
006cf643bb 2013-06-22        kinaba: 	}
006cf643bb 2013-06-22        kinaba: 
006cf643bb 2013-06-22        kinaba: 	static const int INF = 999999;
006cf643bb 2013-06-22        kinaba: 
006cf643bb 2013-06-22        kinaba: 	// not use, use
006cf643bb 2013-06-22        kinaba: 	pair<int,int> rec(Edge e, vector<vector<Edge> >& G)
006cf643bb 2013-06-22        kinaba: 	{
006cf643bb 2013-06-22        kinaba: 		vector< pair<int,int> > p;
006cf643bb 2013-06-22        kinaba: 		for(int i=0; i<G[e.to].size(); ++i)
006cf643bb 2013-06-22        kinaba: 		{
006cf643bb 2013-06-22        kinaba: 			Edge& e2 = G[e.to][i];
006cf643bb 2013-06-22        kinaba: 			if(e2.to != e.from)
006cf643bb 2013-06-22        kinaba: 				p.push_back(rec(e2, G));
006cf643bb 2013-06-22        kinaba: 		}
006cf643bb 2013-06-22        kinaba: 		pair<int,int> r = calc_on_node(p);
006cf643bb 2013-06-22        kinaba: 		if(e.goal)
006cf643bb 2013-06-22        kinaba: 			(e.init ? r.second : r.first) = INF;
006cf643bb 2013-06-22        kinaba: 		return r;
006cf643bb 2013-06-22        kinaba: 	}
006cf643bb 2013-06-22        kinaba: 
006cf643bb 2013-06-22        kinaba: 	pair<int,int> calc_on_node(vector<pair<int,int> >& c)
006cf643bb 2013-06-22        kinaba: 	{
006cf643bb 2013-06-22        kinaba: 		int nu = calc(c);
006cf643bb 2013-06-22        kinaba: 		int u = (c.empty() ? 1 : INF);
006cf643bb 2013-06-22        kinaba: 		for(int i=0; i<c.size(); ++i)
006cf643bb 2013-06-22        kinaba: 		{
006cf643bb 2013-06-22        kinaba: 			vector<pair<int,int> > cc = c;
006cf643bb 2013-06-22        kinaba: 			cc.erase(cc.begin() + i);
006cf643bb 2013-06-22        kinaba: 			int s1 = calc(cc);
006cf643bb 2013-06-22        kinaba: 			int s2 = min(c[i].first + 1, c[i].second);
006cf643bb 2013-06-22        kinaba: 			u = min(u, s1+s2);
006cf643bb 2013-06-22        kinaba: 		}
006cf643bb 2013-06-22        kinaba: 		return make_pair(nu, u);
006cf643bb 2013-06-22        kinaba: 	}
006cf643bb 2013-06-22        kinaba: 
006cf643bb 2013-06-22        kinaba: 	int calc(vector<pair<int,int> >& c)
006cf643bb 2013-06-22        kinaba: 	{
006cf643bb 2013-06-22        kinaba: 		int od = INF;
006cf643bb 2013-06-22        kinaba: 		int ev = 0;
006cf643bb 2013-06-22        kinaba: 		for(int i=0; i<c.size(); ++i)
006cf643bb 2013-06-22        kinaba: 		{
006cf643bb 2013-06-22        kinaba: 			int c0 = c[i].first;
006cf643bb 2013-06-22        kinaba: 			int c1 = c[i].second;
006cf643bb 2013-06-22        kinaba: 
006cf643bb 2013-06-22        kinaba: 			int od2 = min(ev+c1, od+c0);
006cf643bb 2013-06-22        kinaba: 			int ev2 = min(ev+c0, od+c1-1);
006cf643bb 2013-06-22        kinaba: 			od = od2, ev = ev2;
006cf643bb 2013-06-22        kinaba: 		}
006cf643bb 2013-06-22        kinaba: 		return min(od, ev);
006cf643bb 2013-06-22        kinaba: 	}
006cf643bb 2013-06-22        kinaba: };
006cf643bb 2013-06-22        kinaba: 
006cf643bb 2013-06-22        kinaba: // BEGIN CUT HERE
006cf643bb 2013-06-22        kinaba: #include <ctime>
006cf643bb 2013-06-22        kinaba: double start_time; string timer()
006cf643bb 2013-06-22        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
006cf643bb 2013-06-22        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
006cf643bb 2013-06-22        kinaba:  { os << "{ ";
006cf643bb 2013-06-22        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
006cf643bb 2013-06-22        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
006cf643bb 2013-06-22        kinaba: void verify_case(const int& Expected, const int& Received) {
006cf643bb 2013-06-22        kinaba:  bool ok = (Expected == Received);
006cf643bb 2013-06-22        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
006cf643bb 2013-06-22        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
006cf643bb 2013-06-22        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
006cf643bb 2013-06-22        kinaba: #define END	 verify_case(_, TurnOnLamps().minimize(roads, initState, isImportant));}
006cf643bb 2013-06-22        kinaba: int main(){
006cf643bb 2013-06-22        kinaba: 
006cf643bb 2013-06-22        kinaba: CASE(0)
006cf643bb 2013-06-22        kinaba: 	int roads_[] = {0,0,1,1};
006cf643bb 2013-06-22        kinaba: 	  vector <int> roads(roads_, roads_+sizeof(roads_)/sizeof(*roads_));
006cf643bb 2013-06-22        kinaba: 	string initState = "0001";
006cf643bb 2013-06-22        kinaba: 	string isImportant = "0111";
006cf643bb 2013-06-22        kinaba: 	int _ = 1;
006cf643bb 2013-06-22        kinaba: END
006cf643bb 2013-06-22        kinaba: CASE(1)
006cf643bb 2013-06-22        kinaba: 	int roads_[] = {0,0,1,1};
006cf643bb 2013-06-22        kinaba: 	  vector <int> roads(roads_, roads_+sizeof(roads_)/sizeof(*roads_));
006cf643bb 2013-06-22        kinaba: 	string initState = "0000";
006cf643bb 2013-06-22        kinaba: 	string isImportant = "0111";
006cf643bb 2013-06-22        kinaba: 	int _ = 2;
006cf643bb 2013-06-22        kinaba: END
006cf643bb 2013-06-22        kinaba: CASE(2)
006cf643bb 2013-06-22        kinaba: 	int roads_[] = {0,0,1,1,4,4};
006cf643bb 2013-06-22        kinaba: 	  vector <int> roads(roads_, roads_+sizeof(roads_)/sizeof(*roads_));
006cf643bb 2013-06-22        kinaba: 	string initState = "000100";
006cf643bb 2013-06-22        kinaba: 	string isImportant = "111111";
006cf643bb 2013-06-22        kinaba: 	int _ = 2;
006cf643bb 2013-06-22        kinaba: END
006cf643bb 2013-06-22        kinaba: CASE(3)
006cf643bb 2013-06-22        kinaba: 	int roads_[] = {0,0,1,1,4,4};
006cf643bb 2013-06-22        kinaba: 	  vector <int> roads(roads_, roads_+sizeof(roads_)/sizeof(*roads_));
006cf643bb 2013-06-22        kinaba: 	string initState = "100100";
006cf643bb 2013-06-22        kinaba: 	string isImportant = "011101";
006cf643bb 2013-06-22        kinaba: 	int _ = 2;
006cf643bb 2013-06-22        kinaba: END
006cf643bb 2013-06-22        kinaba: CASE(4)
006cf643bb 2013-06-22        kinaba: 	int roads_[] = {0,0,2,2,3,1,6,3,1};
006cf643bb 2013-06-22        kinaba: 	  vector <int> roads(roads_, roads_+sizeof(roads_)/sizeof(*roads_));
006cf643bb 2013-06-22        kinaba: 	string initState = "010001110";
006cf643bb 2013-06-22        kinaba: 	string isImportant = "000110100";
006cf643bb 2013-06-22        kinaba: 	int _ = 1;
006cf643bb 2013-06-22        kinaba: END
006cf643bb 2013-06-22        kinaba: CASE(5)
006cf643bb 2013-06-22        kinaba: 	int roads_[] = {0,0,1,2,4,4,6,1,2,5,2,8,8,3,6,4,14,7,18,14,11,7,1,12,7,5,18,23,0,14,11,10,2,2,6,1,30,11,9,12,5,35,25,11,23,17,14,45,15};
006cf643bb 2013-06-22        kinaba: 	  vector <int> roads(roads_, roads_+sizeof(roads_)/sizeof(*roads_));
006cf643bb 2013-06-22        kinaba: 	string initState = "0000000000010000000000000010000010100000000000000";
006cf643bb 2013-06-22        kinaba: 	string isImportant = "1010111111111011011111000110111111111111111110111";
006cf643bb 2013-06-22        kinaba: 	int _ = 14;
006cf643bb 2013-06-22        kinaba: END
006cf643bb 2013-06-22        kinaba: /*
006cf643bb 2013-06-22        kinaba: CASE(6)
006cf643bb 2013-06-22        kinaba: 	int roads_[] = ;
006cf643bb 2013-06-22        kinaba: 	  vector <int> roads(roads_, roads_+sizeof(roads_)/sizeof(*roads_));
006cf643bb 2013-06-22        kinaba: 	string initState = ;
006cf643bb 2013-06-22        kinaba: 	string isImportant = ;
006cf643bb 2013-06-22        kinaba: 	int _ = ;
006cf643bb 2013-06-22        kinaba: END
006cf643bb 2013-06-22        kinaba: CASE(7)
006cf643bb 2013-06-22        kinaba: 	int roads_[] = ;
006cf643bb 2013-06-22        kinaba: 	  vector <int> roads(roads_, roads_+sizeof(roads_)/sizeof(*roads_));
006cf643bb 2013-06-22        kinaba: 	string initState = ;
006cf643bb 2013-06-22        kinaba: 	string isImportant = ;
006cf643bb 2013-06-22        kinaba: 	int _ = ;
006cf643bb 2013-06-22        kinaba: END
006cf643bb 2013-06-22        kinaba: */
006cf643bb 2013-06-22        kinaba: }
006cf643bb 2013-06-22        kinaba: // END CUT HERE