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bdc8bb3e19 2015-05-13        kinaba: #include <iostream>
bdc8bb3e19 2015-05-13        kinaba: #include <sstream>
bdc8bb3e19 2015-05-13        kinaba: #include <iomanip>
bdc8bb3e19 2015-05-13        kinaba: #include <vector>
bdc8bb3e19 2015-05-13        kinaba: #include <string>
bdc8bb3e19 2015-05-13        kinaba: #include <map>
bdc8bb3e19 2015-05-13        kinaba: #include <set>
bdc8bb3e19 2015-05-13        kinaba: #include <algorithm>
bdc8bb3e19 2015-05-13        kinaba: #include <numeric>
bdc8bb3e19 2015-05-13        kinaba: #include <iterator>
bdc8bb3e19 2015-05-13        kinaba: #include <functional>
bdc8bb3e19 2015-05-13        kinaba: #include <complex>
bdc8bb3e19 2015-05-13        kinaba: #include <queue>
bdc8bb3e19 2015-05-13        kinaba: #include <stack>
bdc8bb3e19 2015-05-13        kinaba: #include <cmath>
bdc8bb3e19 2015-05-13        kinaba: #include <cassert>
bdc8bb3e19 2015-05-13        kinaba: #include <tuple>
bdc8bb3e19 2015-05-13        kinaba: using namespace std;
bdc8bb3e19 2015-05-13        kinaba: typedef long long LL;
bdc8bb3e19 2015-05-13        kinaba: typedef complex<double> CMP;
bdc8bb3e19 2015-05-13        kinaba: 
bdc8bb3e19 2015-05-13        kinaba: bool is_prime(int p)
bdc8bb3e19 2015-05-13        kinaba: {
bdc8bb3e19 2015-05-13        kinaba: 	for(int q=2; q*q<=p; ++q)
bdc8bb3e19 2015-05-13        kinaba: 		if(p%q==0)
bdc8bb3e19 2015-05-13        kinaba: 			return false;
bdc8bb3e19 2015-05-13        kinaba: 	return true;
bdc8bb3e19 2015-05-13        kinaba: }
bdc8bb3e19 2015-05-13        kinaba: 
bdc8bb3e19 2015-05-13        kinaba: static const unsigned MODVAL = 1000000007;
bdc8bb3e19 2015-05-13        kinaba: struct mint
bdc8bb3e19 2015-05-13        kinaba: {
bdc8bb3e19 2015-05-13        kinaba: 	unsigned val;
bdc8bb3e19 2015-05-13        kinaba: 	mint():val(0){}
bdc8bb3e19 2015-05-13        kinaba: 	mint(int      x):val(x%MODVAL) {}
bdc8bb3e19 2015-05-13        kinaba: 	mint(unsigned x):val(x%MODVAL) {}
bdc8bb3e19 2015-05-13        kinaba: 	mint(LL       x):val(x%MODVAL) {}
bdc8bb3e19 2015-05-13        kinaba: };
bdc8bb3e19 2015-05-13        kinaba: mint& operator*=(mint& x, mint y) { return x = LL(x.val)*y.val; }
bdc8bb3e19 2015-05-13        kinaba: mint operator*(mint x, mint y) { return x*=y; }
bdc8bb3e19 2015-05-13        kinaba: mint POW(mint x, LL e) { mint v=1; for(;e;x*=x,e>>=1) if(e&1) v*=x; return v; }
bdc8bb3e19 2015-05-13        kinaba: 
bdc8bb3e19 2015-05-13        kinaba: class PolynomialGCD { public:
bdc8bb3e19 2015-05-13        kinaba: 	int gcd(string s)
bdc8bb3e19 2015-05-13        kinaba: 	{
bdc8bb3e19 2015-05-13        kinaba: 		mint ans = 1;
bdc8bb3e19 2015-05-13        kinaba: 		for(int p=2; p<=s.size()+1; ++p)
bdc8bb3e19 2015-05-13        kinaba: 			if(is_prime(p))
bdc8bb3e19 2015-05-13        kinaba: 				ans *= POW(p, howManyTimesAlwaysDivisibleByP(s, p));
bdc8bb3e19 2015-05-13        kinaba: 		return ans.val;
bdc8bb3e19 2015-05-13        kinaba: 	}
bdc8bb3e19 2015-05-13        kinaba: 
bdc8bb3e19 2015-05-13        kinaba: 	int howManyTimesAlwaysDivisibleByP(const string& s, int p)
bdc8bb3e19 2015-05-13        kinaba: 	{
bdc8bb3e19 2015-05-13        kinaba: 		static const int INF = 0x7fffffff;
bdc8bb3e19 2015-05-13        kinaba: 		int at_least = INF;
bdc8bb3e19 2015-05-13        kinaba: 		for(int k=-p; k<=+p; ++k) {
bdc8bb3e19 2015-05-13        kinaba: 			int cur = 0;
bdc8bb3e19 2015-05-13        kinaba: 			for(int b=((k+p+p-1)/p-1)*p,i=s.size()-1-(b-k); i>=0; b+=p,i-=p) {
bdc8bb3e19 2015-05-13        kinaba: 				int e = s[i]-'0';
bdc8bb3e19 2015-05-13        kinaba: 				if(b==0 && e)
bdc8bb3e19 2015-05-13        kinaba: 					goto next;
bdc8bb3e19 2015-05-13        kinaba: 				if(e)
bdc8bb3e19 2015-05-13        kinaba: 					for(int bb=b; bb%p==0; bb/=p)
bdc8bb3e19 2015-05-13        kinaba: 						cur+=e;
bdc8bb3e19 2015-05-13        kinaba: 			}
bdc8bb3e19 2015-05-13        kinaba: 			at_least = min(at_least, cur);
bdc8bb3e19 2015-05-13        kinaba: 			next:;
bdc8bb3e19 2015-05-13        kinaba: 		}
bdc8bb3e19 2015-05-13        kinaba: 		return at_least;
bdc8bb3e19 2015-05-13        kinaba: 	}
bdc8bb3e19 2015-05-13        kinaba: };
bdc8bb3e19 2015-05-13        kinaba: 
bdc8bb3e19 2015-05-13        kinaba: // BEGIN CUT HERE
bdc8bb3e19 2015-05-13        kinaba: #include <ctime>
bdc8bb3e19 2015-05-13        kinaba: double start_time; string timer()
bdc8bb3e19 2015-05-13        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
bdc8bb3e19 2015-05-13        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
bdc8bb3e19 2015-05-13        kinaba:  { os << "{ ";
bdc8bb3e19 2015-05-13        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
bdc8bb3e19 2015-05-13        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
bdc8bb3e19 2015-05-13        kinaba: void verify_case(const int& Expected, const int& Received) {
bdc8bb3e19 2015-05-13        kinaba:  bool ok = (Expected == Received);
bdc8bb3e19 2015-05-13        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
bdc8bb3e19 2015-05-13        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
bdc8bb3e19 2015-05-13        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
bdc8bb3e19 2015-05-13        kinaba: #define END	 verify_case(_, PolynomialGCD().gcd(s));}
bdc8bb3e19 2015-05-13        kinaba: int main(){
bdc8bb3e19 2015-05-13        kinaba: 
bdc8bb3e19 2015-05-13        kinaba: CASE(0)
bdc8bb3e19 2015-05-13        kinaba: 	string s = "111";
bdc8bb3e19 2015-05-13        kinaba: 	int _ = 6;
bdc8bb3e19 2015-05-13        kinaba: END
bdc8bb3e19 2015-05-13        kinaba: CASE(1)
bdc8bb3e19 2015-05-13        kinaba: 	string s = "00000";
bdc8bb3e19 2015-05-13        kinaba: 	int _ = 1;
bdc8bb3e19 2015-05-13        kinaba: END
bdc8bb3e19 2015-05-13        kinaba: CASE(2)
bdc8bb3e19 2015-05-13        kinaba: 	string s = "2014";
bdc8bb3e19 2015-05-13        kinaba: 	int _ = 16;
bdc8bb3e19 2015-05-13        kinaba: END
bdc8bb3e19 2015-05-13        kinaba: CASE(3)
bdc8bb3e19 2015-05-13        kinaba: 	string s = "31415926535";
bdc8bb3e19 2015-05-13        kinaba: 	int _ = 659897170;
bdc8bb3e19 2015-05-13        kinaba: END
bdc8bb3e19 2015-05-13        kinaba: /*
bdc8bb3e19 2015-05-13        kinaba: CASE(4)
bdc8bb3e19 2015-05-13        kinaba: 	string s = ;
bdc8bb3e19 2015-05-13        kinaba: 	int _ = ;
bdc8bb3e19 2015-05-13        kinaba: END
bdc8bb3e19 2015-05-13        kinaba: CASE(5)
bdc8bb3e19 2015-05-13        kinaba: 	string s = ;
bdc8bb3e19 2015-05-13        kinaba: 	int _ = ;
bdc8bb3e19 2015-05-13        kinaba: END
bdc8bb3e19 2015-05-13        kinaba: */
bdc8bb3e19 2015-05-13        kinaba: }
bdc8bb3e19 2015-05-13        kinaba: // END CUT HERE