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.
class Solution { public int romanToInt(String s) { if (s == null || s.length() == 0) { return 0; } Map<Character, Integer> myMap = getMap(); int res = myMap.get(s.charAt(0)); for(int i = 1; i < s.length(); i++) { // for case of IV = 1 + 5 - 2 * 1 if (myMap.get(s.charAt(i)) > myMap.get(s.charAt(i - 1))) { res += myMap.get(s.charAt(i)) - 2 * myMap.get(s.charAt(i - 1)); } else { res += myMap.get(s.charAt(i)); } } return res; } private Map<Character, Integer> getMap() { Map<Character, Integer> myMap = new HashMap<>(); myMap.put('I', 1); myMap.put('V', 5); myMap.put('X', 10); myMap.put('L', 50); myMap.put('C', 100); myMap.put('D', 500); myMap.put('M', 1000); return myMap; } }