1996 Canadian Computing Competition, Stage 1, Problem D
If the Roman Empire had not fallen, then Rome would surely have discovered electricity and used electronic calculators; however, the Romans used Roman Numerals! Your task is to implement a simple Roman Calculator which accepts two Roman Numerals and outputs the sum in Roman Numerals. You may assume that numbers greater than 1000 will not occur in the input. Output numbers greater than 1000 are illegal and should generate the message CONCORDIA CUM VERITATE (In Harmony with Truth).
The input consists of a number, indicating the number of test cases, followed
by this many test cases. Each test case consists of a single line with two
numbers in Roman Numerals separated by a
+ along with an
= at the end.
There are no separating spaces.
For each test case the output is a copy of the input with the Roman Numeral that represents the sum. Outputs for different test cases are separated by a blank line.
The Roman Numerals used by the Romans evolved over many years, and so there are some variations in the way they are written. We will use the following definitions:
- The following symbols are used:
Dfor 500, and
- Numbers are formed by writing symbols from 1. from left to right, as a sum, each time using the symbol for the largest possible value. The symbols
Imay be used at most three times in succession. Only if this rule would be violated, you can use the following rule:
- When a single
Iimmediately precedes a
X, it is subtracted. When a single
Ximmediately precedes an
C, it is subtracted. When a single
Cimmediately precedes a
M, it is subtracted.
- When a single
II = 2;
IX = 9;
CXIII = 113;
LIV = 54;
XXXVIII = 38;
XCIX = 99.
3 VII+II= XXIX+X= M+I=
VII+II=IX XXIX+X=XXXIX M+I=CONCORDIA CUM VERITATE
CCC problem statements in large part from the PEG OJ