## 2 - Ancient Numerals

# Ancient Numerals

A recent archaeological discovery revealed an ancient numbering system similar in nature to Roman
Numerals. These numbers were represented by the letters `H`, `Z`, `Y`, `G`,
`T`, `R`, and `I`. Further research revealed their values:

H = 9261 Z = 1323 Y = 441 G = 63 T = 21 R = 3 I = 1

In addition, it was further discovered that these Ancient Numerals also contained fractions of twelve just like the Roman Numerals did:

1/12 = . 2/12 = .. 3/12 = ... 4/12 = .... 5/12 = ..... 6/12 = S 7/12 = S. 8/12 = S.. 9/12 = S... 10/12 = S.... 11/12 = S.....

Characters representing the numbers are listed in order of highest to lowest
signifying addition of the values of the characters, hence `HZYGTRI` =
11,113. If a lower valued character precedes a higher valued character, it is
subtracted. No one character may be repeated in a sequence more than five
times, with the exception being `H`. Only the next lower number may be
subtracted and only if the sequence would otherwise result in six or more
repeating characters, e.g. `IR` does not represent 2, because 2 can be
expressed without subtraction and without repeating the `I` character 6 or
more times with `II`. The higher valued character must be used in lieu of
multiple repeating lower valued characters, e.g. `TTT` is invalid because
`G` can be used instead.

You will receive a series of Ancient Numerals with an operation (addition, subtraction, multiplication, or division) to be performed on them. There will be exactly one operation per test case.

All Ancient Numerals in the input and output are less than 25 characters in length and are
in the range `0 < V < 175,000,000`.

Fractions smaller than 1/12 should be discarded, i.e. round down to nearest 12th.

# Input

The first line of input will contain the number of test cases, `T` (`1 <= T <= 50`). Each test
case will be a valid string of Ancient Numerals, followed directly by an operation (+,-,*,/), followed by
another valid string of Ancient Numerals.

# Output

Your output should show the result of the operation as a valid string of Ancient Numerals.

# Sample Input

3 H-I ZZZZTTRRRRI/RRRR Y*R

# Sample Output

ZHYYGYTTRTII YRIS. Z