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1.  Please do not post any solutions or spoiler discussion for this quiz until
48 hours have passed from the time on this message.

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by Matthew D Moss

Time to release your inner nerd.

The task for this Ruby Quiz is to write a dice roller. You should write a
program that takes two arguments: a dice expression followed by the number of
times to roll it (being optional, with a default of 1). So to calculate those

> roll.rb "3d6" 6
72  64  113  33  78  82

Or, for something more complicated:

> roll.rb "(5d5-4)d(16/d4)+3"
31

[NOTE: You'll usually want quotes around the dice expression to hide parenthesis
from the shell, but the quotes are not part of the expression.]

The main code of roll.rb should look something like this:

d = Dice.new(ARGV[0])
(ARGV[1] || 1).to_i.times { print "#{d.roll}  " }

The meat of this quiz is going to be parsing the dice expression (i.e.,
implementing Dice.new). Let's first go over the grammar, which I present in a
simplified BNF notation with some notes:

<expr> := <expr> + <expr>
|  <expr> - <expr>
|  <expr> * <expr>
|  <expr> / <expr>
|  ( <expr> )
|  [<expr>] d <expr>
|  integer

* Integers are positive; never zero, never negative.
* The "d" (dice) expression XdY rolls a Y-sided die (numbered
from 1 to Y) X times, accumulating the results.  X is optional
and defaults to 1.
* All binary operators are left-associative.
* Operator precedence:
( )      highest
d
* /
+ -      lowest

[NOTE: The BNF above is simplified here for clarity and space. If requested, I
will make available the full BNF description I've used in my own solution, which
incorporates the association and precedence rules.]

A few more things...  Feel free to either craft this by hand or an available
lexing/parsing library.  Handling whitespace between integers and operators is
nice.  Some game systems use d100 quite often, and may abbreviate it as "d%"
(but note that '%' is only allowed immediately after a 'd').

```