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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: class CutSticks { public:
4fd800b3a8 2011-02-23        kinaba: 	double maxKth(vector <int> sticks, int Ct, int K)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		double L=0, R=1000000000;
4fd800b3a8 2011-02-23        kinaba: 		for(int n=0; n<1000; ++n)
4fd800b3a8 2011-02-23        kinaba: 		{
4fd800b3a8 2011-02-23        kinaba: 			double C = (L+R)/2;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 			// can we create K sticks of length C from sticks within Ct cuts?
4fd800b3a8 2011-02-23        kinaba: 			int cnt = 0;
4fd800b3a8 2011-02-23        kinaba: 			int ncut = 0;
4fd800b3a8 2011-02-23        kinaba: 			for(int i=0; i<sticks.size(); ++i) {
4fd800b3a8 2011-02-23        kinaba: 				int ct = int( sticks[i] / C )-1;
4fd800b3a8 2011-02-23        kinaba: 				if( ct >= 0 ) {
4fd800b3a8 2011-02-23        kinaba: 					ct = min(ct, Ct-ncut);
4fd800b3a8 2011-02-23        kinaba: 					ncut += ct;
4fd800b3a8 2011-02-23        kinaba: 					cnt += ct+1;
4fd800b3a8 2011-02-23        kinaba: 				}
4fd800b3a8 2011-02-23        kinaba: 			}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 			(cnt >= K ? L : R) = C;
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 		return L;
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 double& Expected, const double& Received) {
4fd800b3a8 2011-02-23        kinaba:  double diff = Expected - Received; if (diff < 0) diff = -diff; bool ok = (diff < 1e-9);
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(_, CutSticks().maxKth(sticks, C, K));}
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 sticks_[] = {5, 8};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> sticks(sticks_, sticks_+sizeof(sticks_)/sizeof(*sticks_));
4fd800b3a8 2011-02-23        kinaba: 	int C = 1;
4fd800b3a8 2011-02-23        kinaba: 	int K = 1;
4fd800b3a8 2011-02-23        kinaba: 	double _ = 8.0;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(1)
4fd800b3a8 2011-02-23        kinaba: 	int sticks_[] = {5, 8};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> sticks(sticks_, sticks_+sizeof(sticks_)/sizeof(*sticks_));
4fd800b3a8 2011-02-23        kinaba: 	int C = 1;
4fd800b3a8 2011-02-23        kinaba: 	int K = 2;
4fd800b3a8 2011-02-23        kinaba: 	double _ = 5.0;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(2)
4fd800b3a8 2011-02-23        kinaba: 	int sticks_[] = {5, 8};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> sticks(sticks_, sticks_+sizeof(sticks_)/sizeof(*sticks_));
4fd800b3a8 2011-02-23        kinaba: 	int C = 1;
4fd800b3a8 2011-02-23        kinaba: 	int K = 3;
4fd800b3a8 2011-02-23        kinaba: 	double _ = 4.0;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(3)
4fd800b3a8 2011-02-23        kinaba: 	int sticks_[] = {1000000000, 1000000000, 1};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> sticks(sticks_, sticks_+sizeof(sticks_)/sizeof(*sticks_));
4fd800b3a8 2011-02-23        kinaba: 	int C = 2;
4fd800b3a8 2011-02-23        kinaba: 	int K = 5;
4fd800b3a8 2011-02-23        kinaba: 	double _ = 1.0;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(4)
4fd800b3a8 2011-02-23        kinaba: 	int sticks_[] = {76, 594, 17, 6984, 26, 57, 9, 876, 5816, 73, 969, 527, 49};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> sticks(sticks_, sticks_+sizeof(sticks_)/sizeof(*sticks_));
4fd800b3a8 2011-02-23        kinaba: 	int C = 789;
4fd800b3a8 2011-02-23        kinaba: 	int K = 456;
4fd800b3a8 2011-02-23        kinaba: 	double _ = 34.92;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: }
4fd800b3a8 2011-02-23        kinaba: // END CUT HERE