#include <iostream>

int main()
{
  bool is_open[100] = { false };

  // do the 100 passes
  for (int pass = 0; pass < 100; ++pass)
    for (int door = pass; door < 100; door += pass+1)
      is_open[door] = !is_open[door];

  // output the result
  for (int door = 0; door < 100; ++door)
    std::cout << "door #" << door+1 << (is_open[door]? " is open." : " is closed.") << std::endl;
  return 0;
}