#include "library.h"

const int width = 500, height = 500;

int length_collatz(const int n)
{ if (n == 1)
    return 1;
  if (n % 2 == 0)
    return length_collatz(n/2) + 1;
  return length_collatz(n*3+1) + 1; }

void experiment(const int start, const int stop)
{ const int y = length_collatz(start);
  move_to(start/10, height-y);
  draw_point();
  if (start < stop)
    experiment(start+1, stop); }

void main()
{ make_window(width, height);
  set_pen_width(3);
  experiment(1, width*10); }