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 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.
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:
class Solution {
public:
int romanToInt(string s) {
int sum =0;
int length = s.length();
unordered_map<char , int>m;
m = {{'I' , 1} , {'V' , 5} , {'X' ,10} , {'L' , 50} , {'C' , 100}, {'D' , 500},{'M' , 1000} };
sum = sum + m[s[0]] ;
for(int i =1 ; i < length ; i++)
{
sum = sum + m[s[i]];
if((s[i-1] == 'I' && (s[i] == 'V' || s[i] == 'X')) || (s[i-1] == 'X' && (s[i] == 'L' || s[i] == 'C')) || (s[i-1] == 'C' && (s[i] == 'D' || s[i] == 'M')))
{
sum = sum - 2* m[s[i-1]];
}
}
return sum;
}
};
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