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.
package leetcode.easy; import java.util.HashMap; public class RomanToInteger { @org.junit.Test public void test() { String s1 = "III"; String s2 = "IV"; String s3 = "IX"; String s4 = "LVIII"; String s5 = "MCMXCIV"; System.out.println(romanToInt(s1)); System.out.println(romanToInt(s2)); System.out.println(romanToInt(s3)); System.out.println(romanToInt(s4)); System.out.println(romanToInt(s5)); } public int romanToInt(String s) { if (null == s || 0 == s.length()) { return -1; } HashMap<Character, Integer> map = new HashMap<Character, Integer>(); map.put('I', 1); map.put('V', 5); map.put('X', 10); map.put('L', 50); map.put('C', 100); map.put('D', 500); map.put('M', 1000); int result = 0; result += 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))) { result += map.get(s.charAt(i)); } else { result -= map.get(s.charAt(i)); } } return result; } }