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 StrongEconomy { public:
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	long long earn(long long n, long long k, long long price, long long target)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		if( target/n < k )
4fd800b3a8 2011-02-23        kinaba: 			return 1;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		LL best = target;
4fd800b3a8 2011-02-23        kinaba: 		for(LL money=0, round=0; round+1<best;)
4fd800b3a8 2011-02-23        kinaba: 		{
4fd800b3a8 2011-02-23        kinaba: 			// ここから何もしなかった場合のラウンド数
4fd800b3a8 2011-02-23        kinaba: 			best = min(best, round + roundsNeededToEarn(target-money, n*k));
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 			// (n,k) を増やせる様になるまで待つ
4fd800b3a8 2011-02-23        kinaba: 			if( money < price )
4fd800b3a8 2011-02-23        kinaba: 			{
4fd800b3a8 2011-02-23        kinaba: 				LL rp = roundsNeededToEarn(price-money, n*k);
4fd800b3a8 2011-02-23        kinaba: 				round += rp;
4fd800b3a8 2011-02-23        kinaba: 				money += n*k*rp;
4fd800b3a8 2011-02-23        kinaba: 			}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 			// (n,k) を増やしてみる
4fd800b3a8 2011-02-23        kinaba: 			//   - もう増やさない方がいい可能性は「何もしなかった場合」で考慮済み
4fd800b3a8 2011-02-23        kinaba: 			//   - 今増やさず後で増やす方がいい、ということはあり得ない
4fd800b3a8 2011-02-23        kinaba: 			(n<k ? n : k)++;
4fd800b3a8 2011-02-23        kinaba: 			money -= price;
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 		return best;
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	LL roundsNeededToEarn(LL t, LL v)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		return (t-1)/v + 1;
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 long long& Expected, const long long& 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(_, StrongEconomy().earn(n, k, price, target));}
4fd800b3a8 2011-02-23        kinaba: int main(){
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: CASE(0)
4fd800b3a8 2011-02-23        kinaba: 	long long n = 2LL;
4fd800b3a8 2011-02-23        kinaba: 	long long k = 1LL;
4fd800b3a8 2011-02-23        kinaba: 	long long price = 2LL;
4fd800b3a8 2011-02-23        kinaba: 	long long target = 10LL;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 4LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(1)
4fd800b3a8 2011-02-23        kinaba: 	long long n = 2LL;
4fd800b3a8 2011-02-23        kinaba: 	long long k = 1LL;
4fd800b3a8 2011-02-23        kinaba: 	long long price = 2LL;
4fd800b3a8 2011-02-23        kinaba: 	long long target = 9LL;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 3LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(2)
4fd800b3a8 2011-02-23        kinaba: 	long long n = 1LL;
4fd800b3a8 2011-02-23        kinaba: 	long long k = 1LL;
4fd800b3a8 2011-02-23        kinaba: 	long long price = 500000LL;
4fd800b3a8 2011-02-23        kinaba: 	long long target = 1000002LL;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 1000001LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(3)
4fd800b3a8 2011-02-23        kinaba: 	long long n = 5LL;
4fd800b3a8 2011-02-23        kinaba: 	long long k = 4LL;
4fd800b3a8 2011-02-23        kinaba: 	long long price = 15LL;
4fd800b3a8 2011-02-23        kinaba: 	long long target = 100LL;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 5LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(4)
4fd800b3a8 2011-02-23        kinaba: 	long long n = 1000000000000LL;
4fd800b3a8 2011-02-23        kinaba: 	long long k = 1000000000000LL;
4fd800b3a8 2011-02-23        kinaba: 	long long price = 1000000000000LL;
4fd800b3a8 2011-02-23        kinaba: 	long long target = 1000000000000LL;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 1LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(5)
4fd800b3a8 2011-02-23        kinaba: 	long long n = 1LL;
4fd800b3a8 2011-02-23        kinaba: 	long long k = 1LL;
4fd800b3a8 2011-02-23        kinaba: 	long long price = 1000000000000LL;
4fd800b3a8 2011-02-23        kinaba: 	long long target = 1000000000000LL;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 1000000000000LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(6)
4fd800b3a8 2011-02-23        kinaba: 	long long n = 1LL;
4fd800b3a8 2011-02-23        kinaba: 	long long k = 1LL;
4fd800b3a8 2011-02-23        kinaba: 	long long price = 1LL;
4fd800b3a8 2011-02-23        kinaba: 	long long target = 1000000000000LL;
4fd800b3a8 2011-02-23        kinaba: 	long long _ = 8LL;
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: }
4fd800b3a8 2011-02-23        kinaba: // END CUT HERE