Оглавление > Roman to Integer
23.05.2023

Roman to Integer

Roman numerals are represented by seven different symbols: I, V, X, L, C, D and M.

Symbol        Value
I             1
V             5
X             10
L             50
C             100
D             500
M             1000

For example, 2 is written as II in Roman numeral, just two ones added together. 12 is written as XII, which is simply X + II. The number 27 is written as XXVII, which is XX + V + II.

Roman numerals are usually written largest to smallest from left to right. However, the numeral for four is not IIII. Instead, the number four is written as IV. Because the one is before the five we subtract it making four. The same principle applies to the number nine, which is written as IX. There are six instances where subtraction is used:

I can be placed before V (5) and X (10) to make 4 and 9. X can be placed before L (50) and C (100) to make 40 and 90. C can be placed before D (500) and M (1000) to make 400 and 900. Given a roman numeral, convert it to an integer.

Example 1:

Input: s = "III" Output: 3 Explanation: III = 3.

Example 2:

Input: s = "LVIII" Output: 58 Explanation: L = 50, V= 5, III = 3.

Example 3:

Input: s = "MCMXCIV" Output: 1994 Explanation: M = 1000, CM = 900, XC = 90 and IV = 4.

Решение (F#)

Решение довольно тривиальное:

  1. Создаем словарь вида символ-число
  2. Переводим все символы в числа
  3. Начиная с последнего:
    • если текущее больше или равно предыдущему то добавляем к общей сумме
    • иначе, если меньше, то вычитаем
  4. Преобразуем все 3 примера из условия
  5. Выведем результат
let romanDigits =
    seq {
        ('I', 1)
        ('V', 5)
        ('X', 10)
        ('L', 50)
        ('C', 100)
        ('D', 500)
        ('M', 1000)
    }
    |> Map.ofSeq

let romanToInt (r: string) =
    (r.ToCharArray()
    |> Array.map (fun x -> romanDigits[x])
    |> Array.foldBack (
      fun curr (acc, prev) -> ((if curr>=prev then acc+curr else acc-curr), curr)
      ) ) (0,0)
    |> fst

let solv = ["III";"LVIII";"MCMXCIV"] |> List.map romanToInt

printfn "%A" solv //[3; 58; 1994]