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aca31be9a5 2011-12-24        kinaba: #include <iostream>
aca31be9a5 2011-12-24        kinaba: #include <sstream>
aca31be9a5 2011-12-24        kinaba: #include <iomanip>
aca31be9a5 2011-12-24        kinaba: #include <vector>
aca31be9a5 2011-12-24        kinaba: #include <string>
aca31be9a5 2011-12-24        kinaba: #include <map>
aca31be9a5 2011-12-24        kinaba: #include <set>
aca31be9a5 2011-12-24        kinaba: #include <algorithm>
aca31be9a5 2011-12-24        kinaba: #include <numeric>
aca31be9a5 2011-12-24        kinaba: #include <iterator>
aca31be9a5 2011-12-24        kinaba: #include <functional>
aca31be9a5 2011-12-24        kinaba: #include <complex>
aca31be9a5 2011-12-24        kinaba: #include <queue>
aca31be9a5 2011-12-24        kinaba: #include <stack>
aca31be9a5 2011-12-24        kinaba: #include <cmath>
aca31be9a5 2011-12-24        kinaba: #include <cassert>
aca31be9a5 2011-12-24        kinaba: #include <cstring>
aca31be9a5 2011-12-24        kinaba: #ifdef __GNUC__
aca31be9a5 2011-12-24        kinaba: #include <ext/hash_map>
aca31be9a5 2011-12-24        kinaba: #define unordered_map __gnu_cxx::hash_map
aca31be9a5 2011-12-24        kinaba: #else
aca31be9a5 2011-12-24        kinaba: #include <unordered_map>
aca31be9a5 2011-12-24        kinaba: #endif
aca31be9a5 2011-12-24        kinaba: using namespace std;
aca31be9a5 2011-12-24        kinaba: typedef long long LL;
aca31be9a5 2011-12-24        kinaba: typedef complex<double> CMP;
aca31be9a5 2011-12-24        kinaba: 
aca31be9a5 2011-12-24        kinaba: class P8XGraphBuilder { public:
aca31be9a5 2011-12-24        kinaba: 	int solve(vector <int> scores)
aca31be9a5 2011-12-24        kinaba: 	{
aca31be9a5 2011-12-24        kinaba: 		scores.insert(scores.begin(), 9999999);
aca31be9a5 2011-12-24        kinaba: 		const int N = scores.size();
aca31be9a5 2011-12-24        kinaba: 
aca31be9a5 2011-12-24        kinaba: 		int best = 0;
aca31be9a5 2011-12-24        kinaba: 		for(int leaves=1; leaves<N; ++leaves)
aca31be9a5 2011-12-24        kinaba: 			best = max(best, scores[1]*leaves + calc(leaves, N-leaves, scores));
aca31be9a5 2011-12-24        kinaba: 		return best;
aca31be9a5 2011-12-24        kinaba: 	}
aca31be9a5 2011-12-24        kinaba: 
aca31be9a5 2011-12-24        kinaba: 	map<pair<int,int>,int> memo;
aca31be9a5 2011-12-24        kinaba: 	int calc(int leaves, int nodes, const vector<int>& scores)
aca31be9a5 2011-12-24        kinaba: 	{
aca31be9a5 2011-12-24        kinaba: 		if( nodes == 1 )
aca31be9a5 2011-12-24        kinaba: 			return scores[leaves];
aca31be9a5 2011-12-24        kinaba: 
aca31be9a5 2011-12-24        kinaba: 		pair<int,int> key(leaves, nodes);
aca31be9a5 2011-12-24        kinaba: 		if( memo.count(key) )
aca31be9a5 2011-12-24        kinaba: 			return memo[key];
aca31be9a5 2011-12-24        kinaba: 
aca31be9a5 2011-12-24        kinaba: 		int best = 0;
aca31be9a5 2011-12-24        kinaba: 		for(int k=1; k<=leaves; ++k)
aca31be9a5 2011-12-24        kinaba: 			best = max(best, scores[k+1] + calc(leaves-k+1, nodes-1, scores));
aca31be9a5 2011-12-24        kinaba: 		return memo[key] = best;
aca31be9a5 2011-12-24        kinaba: 	}
aca31be9a5 2011-12-24        kinaba: };
aca31be9a5 2011-12-24        kinaba: 
aca31be9a5 2011-12-24        kinaba: // BEGIN CUT HERE
aca31be9a5 2011-12-24        kinaba: #include <ctime>
aca31be9a5 2011-12-24        kinaba: double start_time; string timer()
aca31be9a5 2011-12-24        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
aca31be9a5 2011-12-24        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
aca31be9a5 2011-12-24        kinaba:  { os << "{ ";
aca31be9a5 2011-12-24        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
aca31be9a5 2011-12-24        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
aca31be9a5 2011-12-24        kinaba: void verify_case(const int& Expected, const int& Received) {
aca31be9a5 2011-12-24        kinaba:  bool ok = (Expected == Received);
aca31be9a5 2011-12-24        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
aca31be9a5 2011-12-24        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
aca31be9a5 2011-12-24        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
aca31be9a5 2011-12-24        kinaba: #define END	 verify_case(_, P8XGraphBuilder().solve(scores));}
aca31be9a5 2011-12-24        kinaba: int main(){
aca31be9a5 2011-12-24        kinaba: 
aca31be9a5 2011-12-24        kinaba: CASE(0)
aca31be9a5 2011-12-24        kinaba: 	int scores_[] = {1, 3, 0};
aca31be9a5 2011-12-24        kinaba: 	  vector <int> scores(scores_, scores_+sizeof(scores_)/sizeof(*scores_));
aca31be9a5 2011-12-24        kinaba: 	int _ = 8;
aca31be9a5 2011-12-24        kinaba: END
aca31be9a5 2011-12-24        kinaba: CASE(1)
aca31be9a5 2011-12-24        kinaba: 	int scores_[] = {0, 0, 0, 10};
aca31be9a5 2011-12-24        kinaba: 	  vector <int> scores(scores_, scores_+sizeof(scores_)/sizeof(*scores_));
aca31be9a5 2011-12-24        kinaba: 	int _ = 10;
aca31be9a5 2011-12-24        kinaba: END
aca31be9a5 2011-12-24        kinaba: CASE(2)
aca31be9a5 2011-12-24        kinaba: 	int scores_[] = {1, 2, 3, 4, 5, 6};
aca31be9a5 2011-12-24        kinaba: 	  vector <int> scores(scores_, scores_+sizeof(scores_)/sizeof(*scores_));
aca31be9a5 2011-12-24        kinaba: 	int _ = 12;
aca31be9a5 2011-12-24        kinaba: END
aca31be9a5 2011-12-24        kinaba: CASE(3)
aca31be9a5 2011-12-24        kinaba: 	int scores_[] = {5, 0, 0};
aca31be9a5 2011-12-24        kinaba: 	  vector <int> scores(scores_, scores_+sizeof(scores_)/sizeof(*scores_));
aca31be9a5 2011-12-24        kinaba: 	int _ = 15;
aca31be9a5 2011-12-24        kinaba: END
aca31be9a5 2011-12-24        kinaba: CASE(4)
aca31be9a5 2011-12-24        kinaba: 	int scores_[] = {1, 3, 2, 5, 3, 7, 5};
aca31be9a5 2011-12-24        kinaba: 	  vector <int> scores(scores_, scores_+sizeof(scores_)/sizeof(*scores_));
aca31be9a5 2011-12-24        kinaba: 	int _ = 20;
aca31be9a5 2011-12-24        kinaba: END
aca31be9a5 2011-12-24        kinaba: CASE(5)
aca31be9a5 2011-12-24        kinaba: int scores_[] = {1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10,1,2,3,4,5,6,7,8,9,10};
aca31be9a5 2011-12-24        kinaba: 	  vector <int> scores(scores_, scores_+sizeof(scores_)/sizeof(*scores_));
aca31be9a5 2011-12-24        kinaba: 	int _ = -1;
aca31be9a5 2011-12-24        kinaba: END
aca31be9a5 2011-12-24        kinaba: CASE(6)
aca31be9a5 2011-12-24        kinaba: 	int scores_[] = {2};
aca31be9a5 2011-12-24        kinaba: 	  vector <int> scores(scores_, scores_+sizeof(scores_)/sizeof(*scores_));
aca31be9a5 2011-12-24        kinaba: 	int _ = 4;
aca31be9a5 2011-12-24        kinaba: END
aca31be9a5 2011-12-24        kinaba: 
aca31be9a5 2011-12-24        kinaba: }
aca31be9a5 2011-12-24        kinaba: // END CUT HERE