English
13. Roman to Integer
Problem Statement:
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) andX
(10) to make 4 and 9. - X can be placed before
L
(50) andC
(100) to make 40 and 90. - C can be placed before
D
(500) andM
(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.
Constraints:
- 1 <= s.length <= 15
- s contains only the characters `('I', 'V', 'X', 'L', 'C', 'D', 'M')`.
- It is guaranteed that s is a valid roman numeral in the range [`1, 3999]`.
Solution:
java
public int romanToInt(String s) {
Map<Character, Integer> map = Map.of(
'I', 1,
'V', 5,
'X', 10,
'L', 50,
'C', 100,
'D', 500,
'M', 1000);
int res = map.get(s.charAt(s.length() - 1));
for (int i = s.length() - 2; i >= 0; i--) {
if (map.get(s.charAt(i)) < map.get(s.charAt(i + 1)))
res -= map.get(s.charAt(i));
else
res += map.get(s.charAt(i));
}
return res;
}
...