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Artifact 0f5c0e345a533ed4536cbe1b8eeb16b9eec5cd99


#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;

class AlwaysDefined { public:
	long long countIntegers(long long L, long long R, int W)
	{
		vector<vector<int>> tbl(W);
		for(int q=1; q<=W-1; ++q)
			for(int r=1; r<=W-1; ++r)
				if(q*r%W == r)
					tbl[q].push_back(r);

		// count all numbers that can be generated by repeating
		//   x ==> rx   where tbl[x%W].has(r)
		if(R<=1000000)
		{
			vector<int> V(R+1, false);
			for(int k=0; k*W+1<=R; ++k)
			{
				queue<int> Q;
				if(!V[k*W+1])
					Q.push(k*W+1), V[k*W+1]=true;
				while(!Q.empty())
				{
					int s = Q.front();
					Q.pop();
					for(int r: tbl[s%W]) {
						if(s*r<=R && !V[s*r])
							Q.push(s*r), V[s*r]=true;
					}
				}
			}
			LL cnt = 0;
			for(LL X=L; X<=R; ++X)
				if(V[X])
					++cnt;
			return cnt;
		}


		LL cnt = 0;
		for(LL X=L; X<=R; ++X)
		{
			LL x = X;
			for(;;) {
				if(x%W==0)
					break;
				if(x%W==1)
					{++cnt; break;}
				if(x%(x%W)!=0)
					break;
				x /= x%W;
			}
		}
		return cnt;
	}
};

// 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 long long& Expected, const long long& 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(_, AlwaysDefined().countIntegers(L, R, W));}
int main(){

CASE(0)
	long long L = 10LL; 
	long long R = 10LL; 
	int W = 4; 
	long long _ = 1LL; 
END
CASE(1)
	long long L = 1LL; 
	long long R = 99LL; 
	int W = 2; 
	long long _ = 50LL; 
END
CASE(2)
	long long L = 1282LL; 
	long long R = 1410LL; 
	int W = 10; 
	long long _ = 42LL; 
END
CASE(178116)
	long long L = 1LL; 
	long long R = 1000000LL; 
	int W = 30; 
	long long _ = 154161LL; 
END
CASE(3)
	long long L = 29195807LL; 
	long long R = 273209804877LL; 
	int W = 42; 
	long long _ = 31415926535LL; 
END
CASE(4)
	long long L = 1LL; 
	long long R = 1000000000000000000LL; 
	int W = 3000; 
	long long _ = -1LL; 
END
CASE(5)
	long long L = 1LL; 
	long long R = 1000000000000000000LL; 
	int W = 3; 
	long long _ = -1LL; 
END
}
// END CUT HERE