Project title: These Romans are crazy!



Source: Puzzle challenge from CodinGame: 

https://www.codingame.com/ide/40455539dfd3fe6cb8e34d968c27b6fea58f136

Description:


You are given 2 expressions representing 2 numbers written in roman numerals.
You have to provide the result of the sum of these 2 numbers, also in roman numerals.

I has a value of 1 (maximum 3 in a row)
V has a value of 5 (maximum 1 in a row)
X has a value of 10 (maximum 3 in a row)
L has a value of 50 (maximum 1 in a row)
C has a value of 100 (maximum 3 in a row)
D has a value of 500 (maximum 1 in a row)
M has a value of 1000 (maximum 4 in a row)

The character I just before an V or X has a value of -1 (example IX equals 9)
The character X just before an L or C has a value of -10 (example XL equals 40)
The character C just before an D or M has a value of -100 (example CM equals 900)

Input
Line 1 : Rom1 (the 1st number in roman numerals)
Line 2 : Rom2 (the 2nd number in roman numerals)

Output
The result of Rom1 + Rom2 written in roman numerals

Constraints
1 = Rom1 = 4999
1 = Rom2 = 4999
1 = Rom1 + Rom2 = 4999

Example

Input
VI
VII

Output
XIII