# Roman numerals

Any natural number between 0 and 3999 can be represented in *roman numerals* using the following rules:

1. Only symbols *M*, *D*, *C*, *X*, *V*, *I* can be used. Their values are shown below:

    |   M  |  D  |  C  | L  |  X | V | I |
    |------|-----|-----|----|----|---|---|
    | 1000 | 500 | 100 | 50 | 10 | 5 | 1 |

2. Symbols M, C, X, I can be repeated consecutively up to three times.
3. Symbols D, L and V can not be repeated.
4. When a symbol of lower value of appears to the right of a symbol of equal or higher value, all symbol values are added.
5. When a symbols of lower value appears to the left of a symbols of higher value, the lower value is subtracted from the higher value. Only symbols C, X, V can be subtracted. Each symbol can be subtracted only once. The subtracted symbol must be one fifth or one tenth of the larger.


Ennoncé erroné /!\ :
5. tous les symboles peuvent se faire soustraire par un (seul) autre symbole appartenant à [I,X,C], le symbole doit être la division par 5 ou 10 du symbole soustrait.
Donc seul : IV, IX, XL, XC, CD, CM sont autorisé.
6. Après une soustraction du cas .5, on ne peut plus JAMAIS avoir de symbole avec une valeur >= au symbole courant après. Exemple :  IXX -> pas bon


*Examples:*

-    1 = I
-    4 = IV
-    8 = VIII
-    9 = IX
-   14 = XIV
-   16 = XVI
-   19 = XIX
-   99 = XCIX
-  105 = CV
- 1001 = MI
- 2289 = MMCCLXXXIX

Implement the following methods in the `RomanNumeralUtils` class:

```java
class RomanNumeralUtils {

    public static boolean isValidRomanNumeral(String value) { ... }

    public static int parseRomanNumeral(String numeral) { ... }

    public static String toRomanNumeral(int number) { ... }

}
```

Use [jqwik](https://jqwik.net/) to create property based tests verifying these three methods. Create the tests before implementing the methods. Document any bugs you found with the help of these tests during the process.

**NOTE:** 
- Do not use any existing implementation, write your own code. 
- Use the provided project template as a starting point.
- In the project you can launch the tests with `mvn test`.