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 { /** * @param String $s * @return Integer */ function romanToInt($s) { $i= 0; $p = ["I"=>1, "V"=>5, "X"=>10, "L"=>50, "C"=> 100, "D"=>500, "M"=>1000]; $result = 0; $increment = INF; while($i < strlen($s)){ $new_increment = $p[$s[$i]]; if($increment < $new_increment){ $result -= (2 * $increment); } $increment = $new_increment; $result += $increment; $i ++; } return $result; } }
The solution is based on the fact that the input is valid, otherwise won’t work