bc2785b91d 2012-08-17        kinaba: #include <iostream>
bc2785b91d 2012-08-17        kinaba: #include <sstream>
bc2785b91d 2012-08-17        kinaba: #include <iomanip>
bc2785b91d 2012-08-17        kinaba: #include <vector>
bc2785b91d 2012-08-17        kinaba: #include <string>
bc2785b91d 2012-08-17        kinaba: #include <map>
bc2785b91d 2012-08-17        kinaba: #include <set>
bc2785b91d 2012-08-17        kinaba: #include <algorithm>
bc2785b91d 2012-08-17        kinaba: #include <numeric>
bc2785b91d 2012-08-17        kinaba: #include <iterator>
bc2785b91d 2012-08-17        kinaba: #include <functional>
bc2785b91d 2012-08-17        kinaba: #include <complex>
bc2785b91d 2012-08-17        kinaba: #include <queue>
bc2785b91d 2012-08-17        kinaba: #include <stack>
bc2785b91d 2012-08-17        kinaba: #include <cmath>
bc2785b91d 2012-08-17        kinaba: #include <cassert>
bc2785b91d 2012-08-17        kinaba: using namespace std;
bc2785b91d 2012-08-17        kinaba: typedef long long LL;
bc2785b91d 2012-08-17        kinaba: typedef long double LD;
bc2785b91d 2012-08-17        kinaba: typedef complex<LD> CMP;
bc2785b91d 2012-08-17        kinaba: 
bc2785b91d 2012-08-17        kinaba: class FoxPaintingBalls { public:
bc2785b91d 2012-08-17        kinaba: 	long long theMax(long long R, long long G, long long B, int N_)
bc2785b91d 2012-08-17        kinaba: 	{
bc2785b91d 2012-08-17        kinaba: 		LL N = N_;
bc2785b91d 2012-08-17        kinaba: 		LL tot = N*(N+1)/2;
bc2785b91d 2012-08-17        kinaba: 		LL t = tot/3;
bc2785b91d 2012-08-17        kinaba: 		LL tr = tot%3;
bc2785b91d 2012-08-17        kinaba: 		// (t,t,t+tr)
bc2785b91d 2012-08-17        kinaba: 
bc2785b91d 2012-08-17        kinaba: 		LL l=0, r=(R+G+B)/tot+1; // [l,r)
bc2785b91d 2012-08-17        kinaba: 		while( l+1 < r ) {
bc2785b91d 2012-08-17        kinaba: 			LL c = (l+r)/2;
bc2785b91d 2012-08-17        kinaba: 			LL rr = R-t*c;
bc2785b91d 2012-08-17        kinaba: 			LL gg = G-t*c;
bc2785b91d 2012-08-17        kinaba: 			LL bb = B-t*c;
bc2785b91d 2012-08-17        kinaba: 			bool can = true;
bc2785b91d 2012-08-17        kinaba: 			if(rr<0 || gg<0 || bb<0)
bc2785b91d 2012-08-17        kinaba: 				can = false;
bc2785b91d 2012-08-17        kinaba: 			else
bc2785b91d 2012-08-17        kinaba: 				can = (rr+gg+bb >= tr*c);
bc2785b91d 2012-08-17        kinaba: 			(can ? l : r) = c;
bc2785b91d 2012-08-17        kinaba: 		}
bc2785b91d 2012-08-17        kinaba: 		return l;
bc2785b91d 2012-08-17        kinaba: 	}
bc2785b91d 2012-08-17        kinaba: };
bc2785b91d 2012-08-17        kinaba: 
bc2785b91d 2012-08-17        kinaba: // BEGIN CUT HERE
bc2785b91d 2012-08-17        kinaba: #include <ctime>
bc2785b91d 2012-08-17        kinaba: double start_time; string timer()
bc2785b91d 2012-08-17        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
bc2785b91d 2012-08-17        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
bc2785b91d 2012-08-17        kinaba:  { os << "{ ";
bc2785b91d 2012-08-17        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
bc2785b91d 2012-08-17        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
bc2785b91d 2012-08-17        kinaba: void verify_case(const long long& Expected, const long long& Received) {
bc2785b91d 2012-08-17        kinaba:  bool ok = (Expected == Received);
bc2785b91d 2012-08-17        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
bc2785b91d 2012-08-17        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
bc2785b91d 2012-08-17        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
bc2785b91d 2012-08-17        kinaba: #define END	 verify_case(_, FoxPaintingBalls().theMax(R, G, B, N));}
bc2785b91d 2012-08-17        kinaba: int main(){
bc2785b91d 2012-08-17        kinaba: 
bc2785b91d 2012-08-17        kinaba: CASE(0)
bc2785b91d 2012-08-17        kinaba: 	long long R = 2LL;
bc2785b91d 2012-08-17        kinaba: 	long long G = 2LL;
bc2785b91d 2012-08-17        kinaba: 	long long B = 2LL;
bc2785b91d 2012-08-17        kinaba: 	int N = 3;
bc2785b91d 2012-08-17        kinaba: 	long long _ = 1LL;
bc2785b91d 2012-08-17        kinaba: END
bc2785b91d 2012-08-17        kinaba: CASE(1)
bc2785b91d 2012-08-17        kinaba: 	long long R = 1LL;
bc2785b91d 2012-08-17        kinaba: 	long long G = 2LL;
bc2785b91d 2012-08-17        kinaba: 	long long B = 3LL;
bc2785b91d 2012-08-17        kinaba: 	int N = 3;
bc2785b91d 2012-08-17        kinaba: 	long long _ = 0LL;
bc2785b91d 2012-08-17        kinaba: END
bc2785b91d 2012-08-17        kinaba: CASE(2)
bc2785b91d 2012-08-17        kinaba: 	long long R = 8LL;
bc2785b91d 2012-08-17        kinaba: 	long long G = 6LL;
bc2785b91d 2012-08-17        kinaba: 	long long B = 6LL;
bc2785b91d 2012-08-17        kinaba: 	int N = 4;
bc2785b91d 2012-08-17        kinaba: 	long long _ = 2LL;
bc2785b91d 2012-08-17        kinaba: END
bc2785b91d 2012-08-17        kinaba: CASE(3)
bc2785b91d 2012-08-17        kinaba: 	long long R = 7LL;
bc2785b91d 2012-08-17        kinaba: 	long long G = 6LL;
bc2785b91d 2012-08-17        kinaba: 	long long B = 7LL;
bc2785b91d 2012-08-17        kinaba: 	int N = 4;
bc2785b91d 2012-08-17        kinaba: 	long long _ = 2LL;
bc2785b91d 2012-08-17        kinaba: END
bc2785b91d 2012-08-17        kinaba: CASE(4)
bc2785b91d 2012-08-17        kinaba: 	long long R = 100LL;
bc2785b91d 2012-08-17        kinaba: 	long long G = 100LL;
bc2785b91d 2012-08-17        kinaba: 	long long B = 100LL;
bc2785b91d 2012-08-17        kinaba: 	int N = 4;
bc2785b91d 2012-08-17        kinaba: 	long long _ = 30LL;
bc2785b91d 2012-08-17        kinaba: END
bc2785b91d 2012-08-17        kinaba: CASE(5)
bc2785b91d 2012-08-17        kinaba: 	long long R = 19330428391852493LL;
bc2785b91d 2012-08-17        kinaba: 	long long G = 48815737582834113LL;
bc2785b91d 2012-08-17        kinaba: 	long long B = 11451481019198930LL;
bc2785b91d 2012-08-17        kinaba: 	int N = 3456;
bc2785b91d 2012-08-17        kinaba: 	long long _ = 5750952686LL;
bc2785b91d 2012-08-17        kinaba: END
bc2785b91d 2012-08-17        kinaba: CASE(6)
bc2785b91d 2012-08-17        kinaba: 	long long R = 1LL;
bc2785b91d 2012-08-17        kinaba: 	long long G = 1LL;
bc2785b91d 2012-08-17        kinaba: 	long long B = 1LL;
bc2785b91d 2012-08-17        kinaba: 	int N = 1;
bc2785b91d 2012-08-17        kinaba: 	long long _ = 3LL;
bc2785b91d 2012-08-17        kinaba: END
bc2785b91d 2012-08-17        kinaba: CASE(7)
bc2785b91d 2012-08-17        kinaba: 	long long R = 1LL;
bc2785b91d 2012-08-17        kinaba: 	long long G = 1LL;
bc2785b91d 2012-08-17        kinaba: 	long long B = 1LL;
bc2785b91d 2012-08-17        kinaba: 	int N = 7;
bc2785b91d 2012-08-17        kinaba: 	long long _ = -1LL;
bc2785b91d 2012-08-17        kinaba: END
bc2785b91d 2012-08-17        kinaba: CASE(8)
bc2785b91d 2012-08-17        kinaba: 	long long R = 1000000000000000000LL;
bc2785b91d 2012-08-17        kinaba: 	long long G = 1000000000000000000LL;
bc2785b91d 2012-08-17        kinaba: 	long long B = 1000000000000000000LL;
bc2785b91d 2012-08-17        kinaba: 	int N = 1;
bc2785b91d 2012-08-17        kinaba: 	long long _ = 3000000000000000000LL;
bc2785b91d 2012-08-17        kinaba: END
bc2785b91d 2012-08-17        kinaba: }
bc2785b91d 2012-08-17        kinaba: // END CUT HERE