@section{What's the value in register @tt{b} after the program runs?}
The virtual machine has two registers, @tt{a} and @tt{b}, that both start at 0. It also has six instructions:
@itemlist[
@item{@tt{hlf r} sets register r to half its current value, then continues.}
@item{@tt{tpl r} sets register r to triple its current value, then continues.}
@item{@tt{inc r} adds 1 to register r, then continues.}
@item{@tt{jmp offset} jumps the instruction that is @tt{offset} steps away. An @tt{offset} can be positive or negative.}
@item{@tt{jie r, offset} is like @tt{jmp}, but only jumps if r is even.}
@item{@tt{jio r, offset} jumps by @tt{offset} if register r = 1.}
]
Although the virtual machine has the equivalent of functions & variables, the jump instructions add a complication. We can't just evaluate the instructions top to bottom. We have to maintain a list of all the instructions, and a pointer to where we are, so if we get a jump instruction, we can move to the right place.
Because we have to repeatedly update the values of the register, it'll be more convenient to use a hash table (which is designed for this purpose).