Fred obermann a1

Here is a solution for the Roman numerals exercise. 

The logic for the rewriting of Roman Numerals is divided into a Scanner class which reads the numerals 1 by 1, and assembles them into tokens, (which deal with 2-numeral numbers like 'IV', 'IX', 'XL', 'XC', 'CD', and 'CM').

Arbitrary sequences of the same numeral are allowed, for example 'IIIIIIIIII' is 10, but only if the repeating numeral is NOT a subtractive indicator (I, X, C) or, if it is a subtractive indicator, then the sequence does not precede a legal subtractive suffix.  For example:

'IIV' is illegal
'IIIX' is illegal
'XXL'  is illegal
'XXXXXC' is illegal
'CCCD' is also illegal, as is 'CCM'

Each numeral must precede a numeral of the same or lesser value, unless it is one of the subtractive numerals, but they are limited to preceding their legal subtractive suffix. The rspec tests of the scanner should illustrate the rules more fully.

The rewriting logic is located in the Rewriter class.  It's logic is pretty simple.  It reads each token from the
scanner, and add's it's value to a running integer total.

Then it divides the integer total by a decreasing sequence of integer factors and assembles an output string based on the factor and the result of the integer division.

 There are checks in logic to raise an exception if the computed string is longer than the input string.

 There is a command line program, rn.rb, to allow you to type in Roman numerals and see the 'optimized' translation.