Assignment $\backslash$#$9$

Goals:

$>$ This lab gives students more experience in

$-$ Top$-$down Design and procedural abstraction$.$

$-$ Good style programming

Background Information

Roman Numbers. The Roman Number System has seven digits as follows:

Numbers are formed according to the following rules:

$1.$ Only numbers up to $\backslash (\backslash$mathbf$\{3999\}\backslash )$ are represented.

$2.$ As in decimal system, the thousands, hundreds, tens, and ones are expressed separately.

$3.$ The numbers $\backslash (\backslash$mathbf$\{1\}\backslash )$ to $\backslash (\backslash$mathbf$\{9\}\backslash )$ are expressed as shown. As you can see, an I preceding a $\backslash (\backslash$mathbf$\{$V$\}\backslash )$ or $\backslash (\backslash$mathbf$\{$X$\}\backslash )$ is subtracted from the value, and you can never have more than three I$\text{'}$s in a row.

$4.$ Tens and hundreds are done the same way, except that letters $\backslash (\backslash$mathbf$\{$X$\},\backslash$mathrm$\{$L$\},\backslash$mathbf$\{$C$\},\backslash$mathbf$\{$D$\},\backslash$mathbf$\{$M$\}\backslash )$ are used instead of letters $\backslash (\backslash$mathbf$\{$I$\},\backslash$mathbf$\{$V$\},\backslash$mathbf$\{$X$\}\backslash ).$

Requirement:

Write an algorithm and then a structured program that converts a positive integer into Roman Number System. Your program shall take, as input, a number such as $1978,$ and convert it to its equivalent in the Roman Number System as MCMLXXVIII.

$[10$ marks$]$ Presentation$/$Style: Organization, readability, descriptive identifier, indentation, bracket placement.

$[70$ marks$]$ Correctness: Program works without bugs. Appropriate us of methods.

$[20$ marks$]$ Documentation: Internal and external