13. Roman to Integer

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Roman numerals are represented by seven different symbols: I, V, X, L, C, D and M.

Symbol       ValueI             1V             5X             10L             50C             100D             500M             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: 58Explanation: L = 50, V= 5, III = 3.

Example 5:

Input: "MCMXCIV"Output: 1994Explanation: M = 1000, CM = 900, XC = 90 and IV = 4.

//Time: O(n), Space: O(1)
//注意：由於i停止是在倒數第二位，所以跳出迴圈再把最後一個一位加上
    public int romanToInt(String s) {        if (s == null || s.length() == 0) {            return 0;        }                int result = 0;                for (int i = 0; i < s.length() - 1; i++) {            int cur = map(s.charAt(i));            int next = map(s.charAt(i + 1));                        if (cur >= next) {                result += cur;            } else {                result -= cur;            }        }                return result + map(s.charAt(s.length() - 1));    }        private int map(char c) {        switch(c) {            case ‘I‘ :                 return 1;            case ‘V‘ :                 return 5;            case ‘X‘ :                 return 10;            case ‘L‘ :                 return 50;            case ‘C‘ :                 return 100;            case ‘D‘ :                 return 500;            case ‘M‘ :                 return 1000;            default:                 return 0;        }    }

 

13. Roman to Integer