## Roman Number Lengths

1. What is the smallest valued number which can be written with N Roman Numerals (1<=N<=20)? Remember a bar over a number represents multiplication by 1000; don't count a bar as a numeral. For example:
```_
X = 10,000, using 1 Roman Numeral.```
2. What are the longest and largest numbers written with Roman Numerals with the restrictions of no bars allowed, and a maximum of one leading M.

Source: Original, but I wouldn't be surprised to find it elsewhere.

Solutions were received from Nick McGrath and Alan O'Donnell. Nick's answers are below:
```1)   1 numeral   I=1
2:   II=2
3    III=3
4    VIII=8
5    XVIII=18
6    XXVIII=28
7    XXXVIII=38
8    LXXXVIII=88
9    CLXXXVIII=188
10    CCLXXXVIII=288
11    CCCLXXXVIII=388
12    DCCCLXXXVIII=888
13    MDCCCLXXXVIII=1888
14    MMDCCCLXXXVIII=2888
15    MMMDCCCLXXXVIII=3888
_
16    VMMMDCCCLXXXVIII=8888
__
17    XVMMMDCCCLXXXVIII=18888
___
18    XXVMMMDCCCLXXXVIII=28888
____
19    XXXVMMMDCCCLXXXVIII=38888
_____
20    LXXXVMMMDCCCLXXXVIII=88888

2) Longest   MDCCCLXXXVIII = 1888

Largest    MCMXCIX = 1999
```

Mail to Ken