12. Integer to RomanMedium
Seven different symbols represent Roman numerals with the following values:
Symbol Value I 1 V 5 X 10 L 50 C 100 D 500 M 1000 Roman numerals are formed by appending the conversions of decimal place values from highest to lowest. Converting a decimal place value into a Roman numeral has the following rules:
- If the value does not start with 4 or 9, select the symbol of the maximal value that can be subtracted from the input, append that symbol to the result, subtract its value, and convert the remainder to a Roman numeral.
- If the value starts with 4 or 9 use the subtractive form representing one symbol subtracted from the following symbol, for example, 4 is 1 (
I
) less than 5 (V
):IV
and 9 is 1 (I
) less than 10 (X
):IX
. Only the following subtractive forms are used: 4 (IV
), 9 (IX
), 40 (XL
), 90 (XC
), 400 (CD
) and 900 (CM
).- Only powers of 10 (
I
,X
,C
,M
) can be appended consecutively at most 3 times to represent multiples of 10. You cannot append 5 (V
), 50 (L
), or 500 (D
) multiple times. If you need to append a symbol 4 times use the subtractive form.Given an integer, convert it to a Roman numeral.
- Problem
- Solutions