Assignment $1$: Evaluating Roman Numerals

Due Wednesday, January $17,2024$ at $11$pm

This homework is based on Programming Exercise $10-6$ from the textbook although I sought to provide more hints here for how to do the problem.

Exercise $10-6($Tweaked$)$: Write a program that converts a number entered in Roman numerals to a positive integer. Your program should consist of a class, say, romanTYpe. An object of type romanType should do the following:

a$.$ Store the number as a Roman numeral $($using method setRoman as well as in a constructor, which should initialized to a value of I if no value is given$).$

b$.$ Convert and store the number as a positive integer $($automatically computed by calling method romanToInteger when the value of the Roman numeral is set either by the constructor or by setroman$).$

c$.$ Return the number as a Roman numeral $($using method getRoman$)$ or positive integer $($using method getInteger$)$ as requested by the user. The integer values of the Roman numerals are:

$\backslash$table$[[$M$,1000],[$D$,500],[$C$,100],[$I$,50],[$X$,10],[$V$,5],[$I$,1]]$

d$.$ Write a main that requests a roman numeral from the user and the reports the equivalent positive integer. Test your program using the following Roman numerals: MCMIXIX, MCXIV, CCCIIX, and MDCIXVI which should correspond to positive integers $1969,1114,359,$ and $1666.$

Now for some hints:

A Roman Reminder: In Roman values, the total value is obtained by summing the numerals. For example the year $2023$ is written MMXXII $($that is $1000+1000+10+10+1+1+1).$ However, if the Roman numeral preceding another Roman number in the sequence $($read from left to right$)$ is smaller than it$,$ it indicates we should subtract the smaller number from the larger number. So for example, while the year, the year $2024$ would be written MMXXIV. We typically see this when we would otherwise repeat a value $($less than $1000)$ more than $3$ times. For example, $9$ could be written VIIII but traditionally it is written IX to avoid repeating the I four times. The exception to this is for numbers larger than $4000$ since there is no Roman numeral greater than $M,$ you are allowed to repeat $M$ as many times as you need to $($e$.$g$.9000$ is MMMMMMMM$).$

Remember to #include