13. 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, two is written as II
in Roman numeral, just two one's added together. Twelve is written as, XII
, which is simply X
+ II
. The number twenty seven 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 beforeV
(5) andX
(10) to make 4 and 9.X
can be placed beforeL
(50) andC
(100) to make 40 and 90.C
can be placed beforeD
(500) andM
(1000) to make 400 and 900.
Given a roman numeral, convert it to an integer. Input is guaranteed to be within the range from 1 to 3999.
Example 1:
Input: "III"
Output: 3
Example 2:
Input: "IV"
Output: 4
Example 3:
Input: "IX"
Output: 9
Example 4:
Input: "LVIII"
Output: 58
Explanation: L = 50, V= 5, III = 3.
Example 5:
Input: "MCMXCIV"
Output: 1994
Explanation: M = 1000, CM = 900, XC = 90 and IV = 4.
# @param {String} s
# @return {Integer}
def roman_to_int(s)
total = 0
current = 0
new_arr = s.chars
new_len = new_arr.length
begin
case new_arr[current]
when "I"
if new_arr[current+1] == "V"
total += 4
current += 2
elsif new_arr[current+1] == "X"
total += 9
current += 2
else
total += 1
current += 1
end
when "V"
total += 5
current += 1
when "X"
if new_arr[current+1] == "L"
total += 40
current += 2
elsif new_arr[current+1] == "C"
total += 90
current += 2
else
total += 10
current += 1
end
when "L"
total += 50
current += 1
when "C"
if new_arr[current+1] == "D"
total += 400
current += 2
elsif new_arr[current+1] == "M"
total += 900
current += 2
else
total += 100
current += 1
end
when "D"
total += 500
current += 1
when "M"
total += 1000
current += 1
end
end while current < new_len
total
end
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