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744af0f22d 2014-07-26        kinaba: #include <iostream>
744af0f22d 2014-07-26        kinaba: #include <sstream>
744af0f22d 2014-07-26        kinaba: #include <iomanip>
744af0f22d 2014-07-26        kinaba: #include <vector>
744af0f22d 2014-07-26        kinaba: #include <string>
744af0f22d 2014-07-26        kinaba: #include <map>
744af0f22d 2014-07-26        kinaba: #include <set>
744af0f22d 2014-07-26        kinaba: #include <algorithm>
744af0f22d 2014-07-26        kinaba: #include <numeric>
744af0f22d 2014-07-26        kinaba: #include <iterator>
744af0f22d 2014-07-26        kinaba: #include <functional>
744af0f22d 2014-07-26        kinaba: #include <complex>
744af0f22d 2014-07-26        kinaba: #include <queue>
744af0f22d 2014-07-26        kinaba: #include <stack>
744af0f22d 2014-07-26        kinaba: #include <cmath>
744af0f22d 2014-07-26        kinaba: #include <cassert>
744af0f22d 2014-07-26        kinaba: #include <tuple>
744af0f22d 2014-07-26        kinaba: using namespace std;
744af0f22d 2014-07-26        kinaba: typedef long long LL;
744af0f22d 2014-07-26        kinaba: typedef complex<double> CMP;
744af0f22d 2014-07-26        kinaba: 
744af0f22d 2014-07-26        kinaba: class DivisorsPower { public:
744af0f22d 2014-07-26        kinaba: 	long long findArgument(long long n)
744af0f22d 2014-07-26        kinaba: 	{
744af0f22d 2014-07-26        kinaba: 		LL cand = 1LL<<62;
744af0f22d 2014-07-26        kinaba: 		for(int p=2; p<=63; ++p) {
744af0f22d 2014-07-26        kinaba: 			LL xc = LL(pow(double(n), 1.0/p));
744af0f22d 2014-07-26        kinaba: 			for(LL x=max(2LL,xc-100); x<=min(xc+100,n); ++x)
744af0f22d 2014-07-26        kinaba: 				if(ok(x,n))
744af0f22d 2014-07-26        kinaba: 					cand = min(cand, x);
744af0f22d 2014-07-26        kinaba: 		}
744af0f22d 2014-07-26        kinaba: 		return (cand==(1LL<<62) ? -1 : cand);
744af0f22d 2014-07-26        kinaba: 	}
744af0f22d 2014-07-26        kinaba: 
744af0f22d 2014-07-26        kinaba: 	int d(LL x)
744af0f22d 2014-07-26        kinaba: 	{
744af0f22d 2014-07-26        kinaba: 		int cnt = 1;
744af0f22d 2014-07-26        kinaba: 		for(int p=2; p*p<=x; ++p)
744af0f22d 2014-07-26        kinaba: 			if(x%p==0) {
744af0f22d 2014-07-26        kinaba: 				int k = 0;
744af0f22d 2014-07-26        kinaba: 				while(x%p==0) x/=p, ++k;
744af0f22d 2014-07-26        kinaba: 				cnt *= 1+k;
744af0f22d 2014-07-26        kinaba: 			}
744af0f22d 2014-07-26        kinaba: 		if(x>1)
744af0f22d 2014-07-26        kinaba: 			cnt *= 2;
744af0f22d 2014-07-26        kinaba: 		return cnt;
744af0f22d 2014-07-26        kinaba: 	}
744af0f22d 2014-07-26        kinaba: 
744af0f22d 2014-07-26        kinaba: 	int ilog(LL x, LL n)
744af0f22d 2014-07-26        kinaba: 	{
744af0f22d 2014-07-26        kinaba: 		int cnt = 0;
744af0f22d 2014-07-26        kinaba: 		while(n%x==0)
744af0f22d 2014-07-26        kinaba: 			n/=x, ++cnt;
744af0f22d 2014-07-26        kinaba: 		return n>1 ? -1 : cnt;
744af0f22d 2014-07-26        kinaba: 	}
744af0f22d 2014-07-26        kinaba: 
744af0f22d 2014-07-26        kinaba: 
744af0f22d 2014-07-26        kinaba: 	bool ok(LL x, LL n)
744af0f22d 2014-07-26        kinaba: 	{
744af0f22d 2014-07-26        kinaba: 		return ilog(x, n) == d(x);
744af0f22d 2014-07-26        kinaba: 	}
744af0f22d 2014-07-26        kinaba: };
744af0f22d 2014-07-26        kinaba: 
744af0f22d 2014-07-26        kinaba: // BEGIN CUT HERE
744af0f22d 2014-07-26        kinaba: #include <ctime>
744af0f22d 2014-07-26        kinaba: double start_time; string timer()
744af0f22d 2014-07-26        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
744af0f22d 2014-07-26        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
744af0f22d 2014-07-26        kinaba:  { os << "{ ";
744af0f22d 2014-07-26        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
744af0f22d 2014-07-26        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
744af0f22d 2014-07-26        kinaba: void verify_case(const long long& Expected, const long long& Received) {
744af0f22d 2014-07-26        kinaba:  bool ok = (Expected == Received);
744af0f22d 2014-07-26        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
744af0f22d 2014-07-26        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
744af0f22d 2014-07-26        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
744af0f22d 2014-07-26        kinaba: #define END	 verify_case(_, DivisorsPower().findArgument(n));}
744af0f22d 2014-07-26        kinaba: int main(){
744af0f22d 2014-07-26        kinaba: 
744af0f22d 2014-07-26        kinaba: CASE(0)
744af0f22d 2014-07-26        kinaba: 	long long n = 4LL;
744af0f22d 2014-07-26        kinaba: 	long long _ = 2LL;
744af0f22d 2014-07-26        kinaba: END
744af0f22d 2014-07-26        kinaba: CASE(1)
744af0f22d 2014-07-26        kinaba: 	long long n = 10LL;
744af0f22d 2014-07-26        kinaba: 	long long _ = -1LL;
744af0f22d 2014-07-26        kinaba: END
744af0f22d 2014-07-26        kinaba: CASE(2)
744af0f22d 2014-07-26        kinaba: 	long long n = 64LL;
744af0f22d 2014-07-26        kinaba: 	long long _ = 4LL;
744af0f22d 2014-07-26        kinaba: END
744af0f22d 2014-07-26        kinaba: CASE(3)
744af0f22d 2014-07-26        kinaba: 	long long n = 10000LL;
744af0f22d 2014-07-26        kinaba: 	long long _ = 10LL;
744af0f22d 2014-07-26        kinaba: END
744af0f22d 2014-07-26        kinaba: CASE(4)
744af0f22d 2014-07-26        kinaba: 	long long n = 2498388559757689LL;
744af0f22d 2014-07-26        kinaba: 	long long _ = 49983883LL;
744af0f22d 2014-07-26        kinaba: END
744af0f22d 2014-07-26        kinaba: /*
744af0f22d 2014-07-26        kinaba: CASE(5)
744af0f22d 2014-07-26        kinaba: 	long long n = LL;
744af0f22d 2014-07-26        kinaba: 	long long _ = LL;
744af0f22d 2014-07-26        kinaba: END
744af0f22d 2014-07-26        kinaba: CASE(6)
744af0f22d 2014-07-26        kinaba: 	long long n = LL;
744af0f22d 2014-07-26        kinaba: 	long long _ = LL;
744af0f22d 2014-07-26        kinaba: END
744af0f22d 2014-07-26        kinaba: */
744af0f22d 2014-07-26        kinaba: }
744af0f22d 2014-07-26        kinaba: // END CUT HERE