004 3

== Previous level is impossible and you need least 125 IQ to pass this ==
You have 0 coins
x -> 2
Check if (x -> 2)2 = 16. (x -> n)1 = xx->(n-1), (x -> n)m = x{m}(x->n)m-1
Check if (x -> 2)2 = 16 is true
(x -> n)2 = x{2}(x->n)1
(x -> 2)2 = x{2}(x->2)
(x -> 2) = 22
(x -> 2)2 = x{2}4
x = 2
x{2}4 = 65536
False
Did you know 005 is passable level? Yes, It's passable but is very hard you need lot of skills to pass.
(2 -> 2)_2 =
16
65536
4
If you know this get to 005