Algorithm


Problem Name: 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, 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) 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.

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].

 

Code Examples

#1 Code Example with C Programming

Code - C Programming


int romanToInt(char* s) {
 	int n = 0;
 	char c;

 	while (c = *s ++) {
		switch (c) {
			case 'I':
				if (*s == 'V') {
					n += 4;
					s ++;
				} else if (*s == 'X') {
					n += 9;
					s ++;
				} else {
					n += 1;
				}
				break;
			case 'V':
				n += 5;
				break;
			case 'X':
				if (*s == 'L') {
					n += 40;
					s ++;
				} else if (*s == 'C') {
					n += 90;

				} else {
					n += 10;
				}
				break;
 			case 'L':
				n += 50;
				break;
 			case 'C':
				if (*s == 'D') {
 					n += 400;
 					s ++;
				} else if (*s == 'M') {
 					n += 900;
 					s ++;
				} else {
 					n += 100;
				}
 				break;
			case 'D':
 				n += 500;
 				break;
			case 'M':
 				n += 1000;
 				break;
			default:
 				break;
		}
	}
 
	return n;
}
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Input

x
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s = "III"

Output

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3

#2 Code Example with C++ Programming

Code - C++ Programming


class Solution {
public:
    int romanToInt(string s) {

        unordered_mapm({{'I',1}, {'X',10}, {'C',100}, {'M',1000}, {'V',5}, {'L',50}, {'D',500}});
        if(s.size() == 0) return 0;
        int sum = m[s[s.size() - 1]];
        for(int i = s.size() - 2; i >= 0; i--){
            if(m[s[i]] >= m[s[i + 1]]) sum += m[s[i]];
            else sum -= m[s[i]];
        }
        return sum;
    }
};
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Input

x
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cmd
s = "LVIII"

Output

x
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cmd
58

#3 Code Example with Java Programming

Code - Java Programming


 map = new HashMap<>();
    for (int i = 0; i  <  strings.length; i++) {
      map.put(strings[i], value[i]);
    } 
    int idx = 0;
    int num = 0;
    while (idx  <  s.length()) {
      if (idx + 1 < s.length() && map.containsKey(s.substring(idx, idx + 2))) {
        num += map.get(s.substring(idx, idx + 2));
        idx += 2;
      } else {
        num += map.get(s.substring(idx, idx + 1));
        idx++;
      }
    }
    return num;
  }
}
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Input

x
+
cmd
s = "III"

Output

x
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cmd
3

#4 Code Example with Javascript Programming

Code - Javascript Programming


const romanToInt = function(s) {
  let res = 0
  for (let i = s.length - 1; i >= 0; i--) {
    let c = s.charAt(i)
    switch (c) {
      case 'I':
        res += res >= 5 ? -1 : 1
        break
      case 'V':
        res += 5
        break
      case 'X':
        res += 10 * (res >= 50 ? -1 : 1)
        break
      case 'L':
        res += 50
        break
      case 'C':
        res += 100 * (res >= 500 ? -1 : 1)
        break
      case 'D':
        res += 500
        break
      case 'M':
        res += 1000
        break
    }
  }
  return res
}
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Input

x
+
cmd
s = "LVIII"

Output

x
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cmd
58

#5 Code Example with Python Programming

Code - Python Programming


class Solution:
    def intToRoman(self, num):
        s = "M" * (num // 1000)
        s += "CM" if num % 1000 >= 900 else "D" *((num % 1000) // 500)
        s += "CD" if num % 500 >= 400 and s[-2:] != "CM" else "C" * ((num % 500) // 100)  if num % 500 < 400 else ""
        s += "XC" if num % 100 >= 90 else "L" * ((num % 100) // 50)
        s += "XL" if num % 50 >= 40 and s[-2:] != "XC" else "X" * ((num % 50) // 10)  if num % 50 < 40 else ""
        s += "IX" if num % 10 >= 9 else "V" * ((num % 10) // 5)
        s += "IV" if num % 5 >= 4 and s[-2:] != "IX" else "I" * ((num % 5) // 1) if num % 5 < 4 else ""
        return s
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Input

x
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cmd
s = "III"

Output

x
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cmd
3

#6 Code Example with C# Programming

Code - C# Programming


namespace LeetCode
{
    public class _013_RomanToInteger
    {
        int Mapping(char ch)
        {
            switch (ch)
            {
                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;
            }
        }

        public int RomanToInt(string s)
        {
            var result = 0;
            for (int i = 0; i  <  s.Length; i++)
            {
                if (i > 0 && Mapping(s[i]) > Mapping(s[i - 1]))
                {
                    result += Mapping(s[i]) - Mapping(s[i - 1]) * 2;
                }
                else
                {
                    result += Mapping(s[i]);
                }
            }

            return result;
        }
    }
}
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Input

x
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cmd
s = "LVIII"

Output

x
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cmd
58
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