Questions

27. The same patterns don't appear, because it has reset to the start,
but eventually it would.

28. The fill method empties the array list and starts with 0.

29. No, different patterns now appear, however, they are deterministic, same
patterns appear multiple times if you generate enough.

31. we need 2 array lists "state" and "nextState" because we need to get the
data of the old left in order to get a complete and correct calculation.
 
32. Yes you can, we can create a new local int, where we store the value
of the old left value. Then we can get that value when we want to calculate.

35. There aren't infinite possabilites, because there aren't an infinite amount of
integer remainders.