###NB: work in progress

Convert MADBACE to DECIMAL

MADBACE is a mixed Roman-hexdecimal system. Hexadecimal digits (0-F) take their normal positional values, while Roman numerals (IVXLCDM) have their normal values (1 5 10 50 100 500 1000). The main parts of the challenge is to determine when to subtract and when C and D are Roman versus hexadecimal.

###Rules

1. C and D will be Roman if possible.

2. There can never be more than one subtractive symbol to the left of any symbol.

3. A subtractive symbol must be less than half the symbol it subtracts from

###Examples

CM → 900

MC → 1100

MD → 1500

DM → 792 1000-13×16¹

LD → 450

CD → 400

XD → 40

ID → 49 13×16⁰-1

3C → 52 100-3×16¹

4C → 76 4×16¹+12×16⁰

MADBACE → 701590 (10×16⁵-1000)+(11×16³-500)+10×16²+100+14×16⁰

DECIMAL → 233571513 13×16⁶+14×16⁵+12×16⁴+(1000-1)+10×16¹+50

code-golf base-conversion roman-numerals hexadecimal