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Artifact 0c0f6895050a398a7e0110d512053393673004c5


#include <iostream>
#include <sstream>
#include <iomanip>
#include <vector>
#include <string>
#include <map>
#include <set>
#include <algorithm>
#include <numeric>
#include <iterator>
#include <functional>
#include <complex>
#include <queue>
#include <stack>
#include <cmath>
#include <cassert>
#include <tuple>
using namespace std;
typedef long long LL;
typedef complex<double> CMP;

LL C(LL n, LL k)
{
	LL v = 1;
	for(LL i=1; i<=k; ++i)
		v = v*(n-i+1)/i;
	return v;
}

class IntoTheMatrix { public:
	int takePills(int turns, int N)
	{
		for(int F=0 ;; ++F)
			if(best(F,turns)>=N)
				return F;
	}

	map<pair<int,int>,LL> memo;
	LL best(int F, int T)
	{
		if(T==0)
			return 1;

		pair<int,int> key(F,T);
		if(memo.count(key))
			return memo[key];

		LL sum = 0;
		for(int f=0; f<=F; ++f)
			sum += best(f, T-1)*C(F,f);
		return memo[key] = sum;
	}
};

// BEGIN CUT HERE
#include <ctime>
double start_time; string timer()
 { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
 { os << "{ ";
   for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
   os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
void verify_case(const int& Expected, const int& Received) {
 bool ok = (Expected == Received);
 if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
 cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
#define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
#define END	 verify_case(_, IntoTheMatrix().takePills(turns, N));}
int main(){

CASE(0)
	int turns = 1; 
	int N = 1; 
	int _ = 0; 
END
CASE(1)
	int turns = 2; 
	int N = 10; 
	int _ = 3; 
END
CASE(2)
	int turns = 2; 
	int N = 1000; 
	int _ = 7; 
END
CASE(3)
	int turns = 10; 
	int N = 2; 
	int _ = 1; 
END
CASE(4)
	int turns = 4; 
	int N = 50; 
	int _ = 3; 
END
CASE(5)
	int turns = 1; 
	int N = 1000000; 
	int _ = -1; 
END
CASE(6)
	int turns = 10; 
	int N = 1000000; 
	int _ = -1; 
END
}
// END CUT HERE