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 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. 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.