/**
   @version 1.21 2004-08-03
   author Cay Horstmann
*/

#include <bitset>
#include <iostream>
#include <ctime>

using namespace std;

int main()
{  
   const int N = 2000000;
   clock_t cstart = clock();

   bitset<N + 1> b;
   int count = 0;
   int i;
   for (i = 2; i <= N; i++)
      b.set(i);
   i = 2;
   while (i * i <= N)
   {  
      if (b.test(i))
      {  
         count++;
         int k = 2 * i;
         while (k <= N)
         {  
            b.reset(k);
            k += i;
         }
      }
      i++;
   }
   while (i <= N)
   {  
      if (b.test(i))
         count++;
      i++;
   }

   clock_t cend = clock();
   double millis = 1000.0
      * (cend - cstart) / CLOCKS_PER_SEC;

   cout << count << " primes\n"
      << millis << " milliseconds\n";

   return 0;
}
