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Artifact 622c85edd2a0b0bfba95ae3b3b53a8d0c0156f5c


#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>
using namespace std;
typedef long long LL;
typedef complex<double> CMP;

class LockersDivOne { public:
	int lastOpened(int N) 
	{
		vector<int> v;
		for(int i=1; i<=N; ++i)
			v.push_back(i);
		int last = -1;
		for(int s=2; !v.empty(); ++s) {
			vector<int> vv;
			for(int i=0; i<v.size(); ++i)
				if( i%s>0 )
					vv.push_back(v[i]);
				else
					last = v[i];
			v.swap(vv);
		}
		return last;
	}
};

// 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(_, LockersDivOne().lastOpened(N));}
int main(){

CASE(0)
	int N = 9; 
	int _ = 6; 
END
CASE(1)
	int N = 42; 
	int _ = 42; 
END
CASE(2)
	int N = 314; 
	int _ = 282; 
END
CASE(4)
	int N = 1; 
	int _ = 1; 
END
CASE(5)
	int N = 2; 
	int _ = 2; 
END
CASE(6)
	int N = 3; 
	int _ = 2; 
END
CASE(7)
	int N = 4; 
	int _ = 4; 
END
CASE(7)
	int N = 5; 
	int _ = 4; 
END
CASE(7)
	int N = 6; 
	int _ = 6; 
END
CASE(7)
	int N = 7; 
	int _ = 6; 
END
CASE(7)
	int N = 8; 
	int _ = 6; 
END
CASE(3)
	int N = 2000000; 
	int _ = -1; 
END

}
// END CUT HERE