# 12 Integer to Roman – Medium

### Problem:

Given an integer, convert it to a roman numeral.

Input is guaranteed to be within the range from 1 to 3999.

### Thoughts:

Key idea is to switch number by different cases.

Instead of having the base character into {“M”,”CM”,”D”,”CD”,”C”,”XC”,”L”,”XL”,”X”,”IX”, “V”, “IV”, “I”} its makes us easier to handle the special case for 9 and 4. By using the new base character, roman numeric can be only the 1 – 3 appearance of the characters above. So there is no special case we need to handle like we do in the above solution. The key takeaway here is that if a problem is very annoying and has many special case we need to handle. Think about is there a way we can have a helper variable that can help reduce the annoying part. Especially when you have a lot of if else.

### Solutions:

public class Solution {
public String intToRoman(int num) {
int[] base = new int[]{1000, 900, 500, 400, 100, 90, 50, 40, 10, 9, 5, 4, 1};
String[] chars = new String[]{"M","CM","D","CD","C","XC","L","XL","X","IX", "V", "IV", "I"};
//expand the "base" char to make sure that the roman numeric can be only the 1 - 3 appearance of the characters above
String result = "";
for (int i = 0; i < base.length; i ++) {
if (num / base[i] > 0) {
for (int j = 0; j < num/base[i]; j ++) {
result = result + chars[i];
}
num = num - (num / base[i]) * base[i];
}
}
return result;
}
}