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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: template<typename T>
4fd800b3a8 2011-02-23        kinaba: struct DP5
4fd800b3a8 2011-02-23        kinaba: {
4fd800b3a8 2011-02-23        kinaba: 	int N1, N2, N3, N4, N5;
4fd800b3a8 2011-02-23        kinaba: 	vector<T> data;
4fd800b3a8 2011-02-23        kinaba: 	DP5(int N1, int N2, int N3, int N4, int N5, const T& t = T())
4fd800b3a8 2011-02-23        kinaba: 		: N1(N1), N2(N2), N3(N3), N4(N4), N5(N5), data(N1*N2*N3*N4*N5, t) {}
4fd800b3a8 2011-02-23        kinaba: 	T& operator()(int i1, int i2, int i3, int i4, int i5)
4fd800b3a8 2011-02-23        kinaba: 		{ return data[ ((((i1*N2)+i2)*N3+i3)*N4+i4)*N5+i5 ]; }
4fd800b3a8 2011-02-23        kinaba: };
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: class BoxesArrangement { public:
4fd800b3a8 2011-02-23        kinaba: 	int maxUntouched(string boxes)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		int NA = count( boxes.begin(), boxes.end(), 'A' );
4fd800b3a8 2011-02-23        kinaba: 		int NB = count( boxes.begin(), boxes.end(), 'B' );
4fd800b3a8 2011-02-23        kinaba: 		int NC = count( boxes.begin(), boxes.end(), 'C' );
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		DP5<int> dp(NA+1, NB+1, NC+1, 3, 3);
4fd800b3a8 2011-02-23        kinaba: 		for(int na=NA; na>=0; --na)
4fd800b3a8 2011-02-23        kinaba: 		for(int nb=NB; nb>=0; --nb)
4fd800b3a8 2011-02-23        kinaba: 		for(int nc=NC; nc>=0; --nc)
4fd800b3a8 2011-02-23        kinaba: 		for(int c=0; c<3; ++c)
4fd800b3a8 2011-02-23        kinaba: 		for(int l=0; l<3; ++l)
4fd800b3a8 2011-02-23        kinaba: 		{
4fd800b3a8 2011-02-23        kinaba: 			int n = na+nb+nc;
4fd800b3a8 2011-02-23        kinaba: 			if( n == boxes.size() )
4fd800b3a8 2011-02-23        kinaba: 				continue;
4fd800b3a8 2011-02-23        kinaba: 			int m = -1;
4fd800b3a8 2011-02-23        kinaba: 			for(int x=0; x<3; ++x) {
4fd800b3a8 2011-02-23        kinaba: 				int nna = na+(x==0);
4fd800b3a8 2011-02-23        kinaba: 				int nnb = nb+(x==1);
4fd800b3a8 2011-02-23        kinaba: 				int nnc = nc+(x==2);
4fd800b3a8 2011-02-23        kinaba: 				int nl  = (x==c ? l+1 : 1);
4fd800b3a8 2011-02-23        kinaba: 				if( nna<=NA && nnb<=NB && nnc<=NC && nl<3 && dp(nna,nnb,nnc,x,nl)>=0 )
4fd800b3a8 2011-02-23        kinaba: 					m = max(m, (boxes[n]=='A'+x) + dp(nna,nnb,nnc,x,nl));
4fd800b3a8 2011-02-23        kinaba: 			}
4fd800b3a8 2011-02-23        kinaba: 			dp(na,nb,nc,c,l) = m;
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		return dp(0,0,0,0,0);
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(_, BoxesArrangement().maxUntouched(boxes));}
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 boxes = "AAABBBCCC";
4fd800b3a8 2011-02-23        kinaba: 	int _ = 6;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(1)
4fd800b3a8 2011-02-23        kinaba: 	string boxes = "AAAAAAAACBB";
4fd800b3a8 2011-02-23        kinaba: 	int _ = 7;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(2)
4fd800b3a8 2011-02-23        kinaba: 	string boxes = "CCCCCB";
4fd800b3a8 2011-02-23        kinaba: 	int _ = -1;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(3)
4fd800b3a8 2011-02-23        kinaba: 	string boxes = "BAACAABAACAAA";
4fd800b3a8 2011-02-23        kinaba: 	int _ = 5;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(4)
4fd800b3a8 2011-02-23        kinaba: 	string boxes = "CBBABA";
4fd800b3a8 2011-02-23        kinaba: 	int _ = 6;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: }
4fd800b3a8 2011-02-23        kinaba: // END CUT HERE