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Artifact 02db4ce3f40ece1cd25212d65105c4fbb14e96c0


#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 <cstring>
#ifdef __GNUC__
#include <ext/hash_map>
#define unordered_map __gnu_cxx::hash_map
#else
#include <unordered_map>
#endif
using namespace std;
typedef long long LL;
typedef complex<double> CMP;

class BlurredDartboard { public:
	int minThrows(vector <int> points, int P)
	{
		const int N = points.size();

		int VisibleMax = *max_element(points.begin(), points.end());

		vector<int> hidden;
		for(int x=1; x<=N; ++x)
			if( count(points.begin(), points.end(), x) == 0 )
				hidden.push_back(x);

		int K = hidden.size();
		if( hidden.empty() || hidden.back() < VisibleMax )
			return (P+VisibleMax-1) / VisibleMax;

		partial_sum(hidden.begin(), hidden.end(), hidden.begin());
		vector<int> vis;
		for(int i=1; i<=K; ++i)
			vis.push_back(i*VisibleMax);

		int turn = max(vis.back(), hidden.back());
		int n = (P/turn)*K;
		if(P%turn) {
			++n;
			for(int i=0; max(vis[i],hidden[i]) < (P%turn); ++i)
				++n;
		}
		return n;
	}
};

// 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(_, BlurredDartboard().minThrows(points, P));}
int main(){

CASE(0)
	int points_[] = {0, 3, 4, 0, 0};
	  vector <int> points(points_, points_+sizeof(points_)/sizeof(*points_)); 
	int P = 8; 
	int _ = 2; 
END
CASE(1)
	int points_[] = {0, 0, 0, 0, 0};
	  vector <int> points(points_, points_+sizeof(points_)/sizeof(*points_)); 
	int P = 15; 
	int _ = 5; 
END
CASE(2)
	int points_[] = {4, 7, 8, 1, 3, 2, 6, 5};
	  vector <int> points(points_, points_+sizeof(points_)/sizeof(*points_)); 
	int P = 2012; 
	int _ = 252; 
END
CASE(3)
	int points_[] = {0, 0, 5, 0, 0, 0, 1, 3, 0, 0};
	  vector <int> points(points_, points_+sizeof(points_)/sizeof(*points_)); 
	int P = 2012; 
	int _ = 307; 
END
CASE(4)
	int points_[] = {0, 2, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 6, 0, 0, 0, 4, 0, 0, 0};
	  vector <int> points(points_, points_+sizeof(points_)/sizeof(*points_)); 
	int P = 1000000000; 
	int _ = 84656087; 
END
CASE(5)
int points_[] = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
	  vector <int> points(points_, points_+sizeof(points_)/sizeof(*points_)); 
	int P = 1000000000; 
	int _ = -1; 
END
/*
CASE(6)
	int points_[] = ;
	  vector <int> points(points_, points_+sizeof(points_)/sizeof(*points_)); 
	int P = ; 
	int _ = ; 
END
*/
}
// END CUT HERE