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9b65a86a4f 2011-05-03        kinaba: #include <iostream>
9b65a86a4f 2011-05-03        kinaba: #include <sstream>
9b65a86a4f 2011-05-03        kinaba: #include <iomanip>
9b65a86a4f 2011-05-03        kinaba: #include <vector>
9b65a86a4f 2011-05-03        kinaba: #include <string>
9b65a86a4f 2011-05-03        kinaba: #include <map>
9b65a86a4f 2011-05-03        kinaba: #include <set>
9b65a86a4f 2011-05-03        kinaba: #include <algorithm>
9b65a86a4f 2011-05-03        kinaba: #include <numeric>
9b65a86a4f 2011-05-03        kinaba: #include <iterator>
9b65a86a4f 2011-05-03        kinaba: #include <functional>
9b65a86a4f 2011-05-03        kinaba: #include <complex>
9b65a86a4f 2011-05-03        kinaba: #include <queue>
9b65a86a4f 2011-05-03        kinaba: #include <stack>
9b65a86a4f 2011-05-03        kinaba: #include <cmath>
9b65a86a4f 2011-05-03        kinaba: #include <cassert>
9b65a86a4f 2011-05-03        kinaba: #include <cstring>
9b65a86a4f 2011-05-03        kinaba: using namespace std;
9b65a86a4f 2011-05-03        kinaba: typedef long long LL;
9b65a86a4f 2011-05-03        kinaba: typedef complex<double> CMP;
9b65a86a4f 2011-05-03        kinaba: 
9b65a86a4f 2011-05-03        kinaba: template<typename T>
9b65a86a4f 2011-05-03        kinaba: struct DP2
9b65a86a4f 2011-05-03        kinaba: {
9b65a86a4f 2011-05-03        kinaba: 	const int N1, N2;
9b65a86a4f 2011-05-03        kinaba: 	vector<T> data;
9b65a86a4f 2011-05-03        kinaba: 	DP2(int N1, int N2, const T& t = T())
9b65a86a4f 2011-05-03        kinaba: 		: N1(N1), N2(N2), data(N1*N2, t) { assert(data.size()*sizeof(T)<(1<<26)); }
9b65a86a4f 2011-05-03        kinaba: 	T& operator()(int i1, int i2)
9b65a86a4f 2011-05-03        kinaba: 		{ return data[ (i1*N2)+i2 ]; }
9b65a86a4f 2011-05-03        kinaba: };
9b65a86a4f 2011-05-03        kinaba: 
9b65a86a4f 2011-05-03        kinaba: class KingdomXEmergencyStaircase { public:
9b65a86a4f 2011-05-03        kinaba: 	long long determineCost(string leftBuilding, string rightBuilding, vector <int> cost)
9b65a86a4f 2011-05-03        kinaba: 	{
9b65a86a4f 2011-05-03        kinaba: 		const LL oo = 1LL<<50;
9b65a86a4f 2011-05-03        kinaba: 		const int W = cost.size();
9b65a86a4f 2011-05-03        kinaba: 		const int L = leftBuilding.find_last_of('Y')+1;
9b65a86a4f 2011-05-03        kinaba: 		const int R = rightBuilding.find_last_of('Y')+1;
9b65a86a4f 2011-05-03        kinaba: 		const int H = 2*max(L,R)+W;
9b65a86a4f 2011-05-03        kinaba: 
9b65a86a4f 2011-05-03        kinaba: 		LL best = oo;
9b65a86a4f 2011-05-03        kinaba: 		DP2<LL> dp(H+1, H+1, oo);
9b65a86a4f 2011-05-03        kinaba: 		for(int l=0; l<=H; l+=2)
9b65a86a4f 2011-05-03        kinaba: 		for(int r=0; r<=H; r+=2)
9b65a86a4f 2011-05-03        kinaba: 			if( abs(l-r)<=W && W<=l+r )
9b65a86a4f 2011-05-03        kinaba: 			{
9b65a86a4f 2011-05-03        kinaba: 				if( l==0 )
9b65a86a4f 2011-05-03        kinaba: 				{
9b65a86a4f 2011-05-03        kinaba: 					LL cover_cost = 0;
9b65a86a4f 2011-05-03        kinaba: 					for(int rr=r-2; rr>=0; rr-=2)
9b65a86a4f 2011-05-03        kinaba: 						if( rightBuilding[rr/2-1] == 'Y' )
9b65a86a4f 2011-05-03        kinaba: 							cover_cost += cost[(r-rr)/2-1];
9b65a86a4f 2011-05-03        kinaba: 					dp(l,r) = cost[W-1] + cover_cost;
9b65a86a4f 2011-05-03        kinaba: 				}
9b65a86a4f 2011-05-03        kinaba: 				else if( r==0 )
9b65a86a4f 2011-05-03        kinaba: 				{
9b65a86a4f 2011-05-03        kinaba: 					LL cover_cost = 0;
9b65a86a4f 2011-05-03        kinaba: 					for(int ll=l-2; ll>=0; ll-=2)
9b65a86a4f 2011-05-03        kinaba: 						if( leftBuilding[ll/2-1] == 'Y' )
9b65a86a4f 2011-05-03        kinaba: 							cover_cost += cost[(l-ll)/2-1];
9b65a86a4f 2011-05-03        kinaba: 					dp(l,r) = cost[W-1] + cover_cost;
9b65a86a4f 2011-05-03        kinaba: 				}
9b65a86a4f 2011-05-03        kinaba: 				else
9b65a86a4f 2011-05-03        kinaba: 				{
9b65a86a4f 2011-05-03        kinaba: 					const int mid = W/2 - (r-l)/2;
9b65a86a4f 2011-05-03        kinaba: 
9b65a86a4f 2011-05-03        kinaba: 					LL cur_best = oo;
9b65a86a4f 2011-05-03        kinaba: 					LL cover_cost = 0;
9b65a86a4f 2011-05-03        kinaba: 					for(int ll=l-2; ll>=0 && ll>=r-W; ll-=2)
9b65a86a4f 2011-05-03        kinaba: 					{
9b65a86a4f 2011-05-03        kinaba: 						if( ll+2 != l && leftBuilding[(ll+2)/2-1]=='Y' )
9b65a86a4f 2011-05-03        kinaba: 							cover_cost += cost[(l-ll-2)/2 - 1];
9b65a86a4f 2011-05-03        kinaba: 						cur_best = min(cur_best, dp(ll,r)+cost[mid-1]+cover_cost);
9b65a86a4f 2011-05-03        kinaba: 					}
9b65a86a4f 2011-05-03        kinaba: 					cover_cost = 0;
9b65a86a4f 2011-05-03        kinaba: 					for(int rr=r-2; rr>=0 && rr>=l-W; rr-=2)
9b65a86a4f 2011-05-03        kinaba: 					{
9b65a86a4f 2011-05-03        kinaba: 						if( rr+2 != r && rightBuilding[(rr+2)/2-1]=='Y' )
9b65a86a4f 2011-05-03        kinaba: 							cover_cost += cost[(r-rr-2)/2 - 1];
9b65a86a4f 2011-05-03        kinaba: 						cur_best = min(cur_best, dp(l,rr)+cost[W-mid-1]+cover_cost);
9b65a86a4f 2011-05-03        kinaba: 					}
9b65a86a4f 2011-05-03        kinaba: 					dp(l,r) = cur_best;
9b65a86a4f 2011-05-03        kinaba: 				}
9b65a86a4f 2011-05-03        kinaba: 				if( 2*L<=l && 2*R<=r )
9b65a86a4f 2011-05-03        kinaba: 					best = min(best, dp(l,r));
9b65a86a4f 2011-05-03        kinaba: 			}
9b65a86a4f 2011-05-03        kinaba: 		return best;
9b65a86a4f 2011-05-03        kinaba: 	}
9b65a86a4f 2011-05-03        kinaba: };
9b65a86a4f 2011-05-03        kinaba: 
9b65a86a4f 2011-05-03        kinaba: // BEGIN CUT HERE
9b65a86a4f 2011-05-03        kinaba: #include <ctime>
9b65a86a4f 2011-05-03        kinaba: double start_time; string timer()
9b65a86a4f 2011-05-03        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
9b65a86a4f 2011-05-03        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
9b65a86a4f 2011-05-03        kinaba:  { os << "{ ";
9b65a86a4f 2011-05-03        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
9b65a86a4f 2011-05-03        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
9b65a86a4f 2011-05-03        kinaba: void verify_case(const long long& Expected, const long long& Received) {
9b65a86a4f 2011-05-03        kinaba:  bool ok = (Expected == Received);
9b65a86a4f 2011-05-03        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
9b65a86a4f 2011-05-03        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
9b65a86a4f 2011-05-03        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
9b65a86a4f 2011-05-03        kinaba: #define END	 verify_case(_, KingdomXEmergencyStaircase().determineCost(leftBuilding, rightBuilding, cost));}
9b65a86a4f 2011-05-03        kinaba: int main(){
9b65a86a4f 2011-05-03        kinaba: 
9b65a86a4f 2011-05-03        kinaba: CASE(0)
9b65a86a4f 2011-05-03        kinaba: 	string leftBuilding = "YNYY";
9b65a86a4f 2011-05-03        kinaba: 	string rightBuilding = "NNNY";
9b65a86a4f 2011-05-03        kinaba: 	int cost_[] = {10, 40, 18, 25};
9b65a86a4f 2011-05-03        kinaba: 	  vector <int> cost(cost_, cost_+sizeof(cost_)/sizeof(*cost_));
9b65a86a4f 2011-05-03        kinaba: 	long long _ = 98LL;
9b65a86a4f 2011-05-03        kinaba: END
9b65a86a4f 2011-05-03        kinaba: CASE(1)
9b65a86a4f 2011-05-03        kinaba: 	string leftBuilding = "N";
9b65a86a4f 2011-05-03        kinaba: 	string rightBuilding = "Y";
9b65a86a4f 2011-05-03        kinaba: 	int cost_[] = {1, 1000};
9b65a86a4f 2011-05-03        kinaba: 	  vector <int> cost(cost_, cost_+sizeof(cost_)/sizeof(*cost_));
9b65a86a4f 2011-05-03        kinaba: 	long long _ = 1000LL;
9b65a86a4f 2011-05-03        kinaba: END
9b65a86a4f 2011-05-03        kinaba: CASE(2)
9b65a86a4f 2011-05-03        kinaba: 	string leftBuilding = "NNNNNNNY";
9b65a86a4f 2011-05-03        kinaba: 	string rightBuilding = "NNNNNNNY";
9b65a86a4f 2011-05-03        kinaba: 	int cost_[] = {1, 2};
9b65a86a4f 2011-05-03        kinaba: 	  vector <int> cost(cost_, cost_+sizeof(cost_)/sizeof(*cost_));
9b65a86a4f 2011-05-03        kinaba: 	long long _ = 17LL;
9b65a86a4f 2011-05-03        kinaba: END
9b65a86a4f 2011-05-03        kinaba: CASE(3)
9b65a86a4f 2011-05-03        kinaba: 	string leftBuilding = "NNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNN";
9b65a86a4f 2011-05-03        kinaba: 	string rightBuilding = "NNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNY";
9b65a86a4f 2011-05-03        kinaba: 	int cost_[] = {800000000,800000000,800000000,800000000,800000000,800000000,800000000,800000000};
9b65a86a4f 2011-05-03        kinaba: 	  vector <int> cost(cost_, cost_+sizeof(cost_)/sizeof(*cost_));
9b65a86a4f 2011-05-03        kinaba: 	long long _ = 6400000000LL;
9b65a86a4f 2011-05-03        kinaba: END
9b65a86a4f 2011-05-03        kinaba: CASE(4)
9b65a86a4f 2011-05-03        kinaba: 	string leftBuilding = "NNY";
9b65a86a4f 2011-05-03        kinaba: 	string rightBuilding = "NNYYY";
9b65a86a4f 2011-05-03        kinaba: 	int cost_[] = {10000, 10, 40, 10000, 80, 80};
9b65a86a4f 2011-05-03        kinaba: 	  vector <int> cost(cost_, cost_+sizeof(cost_)/sizeof(*cost_));
9b65a86a4f 2011-05-03        kinaba: 	long long _ = 220LL;
9b65a86a4f 2011-05-03        kinaba: END
9b65a86a4f 2011-05-03        kinaba: CASE(5)
9b65a86a4f 2011-05-03        kinaba: string leftBuilding = "YNYNYYNYNYYNYNYYNYNYYNYNYYNYNYYNYNYYNYNYYNYNYYNYNY";
9b65a86a4f 2011-05-03        kinaba: string rightBuilding = "YNYNYYNYNYYNYNYYNYNYYNYNYYNYNYYNYNYYNYNYYNYNYYNYNY";
9b65a86a4f 2011-05-03        kinaba: 	int cost_[] = {958231113, 959939939, 999999999, 954321321, 1000000000, 998998998, 987987987, 999888777, 1000000000, 1000000000};
9b65a86a4f 2011-05-03        kinaba: 	  vector <int> cost(cost_, cost_+sizeof(cost_)/sizeof(*cost_));
9b65a86a4f 2011-05-03        kinaba: 	long long _ = 58212305211LL;
9b65a86a4f 2011-05-03        kinaba: END
9b65a86a4f 2011-05-03        kinaba: /*
9b65a86a4f 2011-05-03        kinaba: CASE(6)
9b65a86a4f 2011-05-03        kinaba: 	string leftBuilding = ;
9b65a86a4f 2011-05-03        kinaba: 	string rightBuilding = ;
9b65a86a4f 2011-05-03        kinaba: 	int cost_[] = ;
9b65a86a4f 2011-05-03        kinaba: 	  vector <int> cost(cost_, cost_+sizeof(cost_)/sizeof(*cost_));
9b65a86a4f 2011-05-03        kinaba: 	long long _ = LL;
9b65a86a4f 2011-05-03        kinaba: END
9b65a86a4f 2011-05-03        kinaba: */
9b65a86a4f 2011-05-03        kinaba: }
9b65a86a4f 2011-05-03        kinaba: // END CUT HERE