# Integer To Roman Conversion Program Solution

We at gradjobopenings.com provide free job alerts of freshers job drives. In this website we list on campus job openings for freshers and off campus job openings for freshers and also work from home job openings. This is the best website to apply for off campus drive in India. Visit our website for government job alerts and private job alerts. We also list free interview notes and study materials, one of the best interview study website.comfortable to face the interviews:

Problem Statement

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 one’s 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 an integer, convert it to a roman numeral.

Example 1:

```Input: num = 3
Output: "III"
Explanation: 3 is represented as 3 ones.
```

Example 2:

```Input: num = 58
Output: "LVIII"
Explanation: L = 50, V = 5, III = 3.
```

Example 3:

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

Constraints:

• `1 <= num <= 3999`

## Approach 1: Greedy

• Time: O(1)O(1)
• Space: O(1)O(1)

### Integer To Roman Conversion Program Solution In C++

``````class Solution {
public:
string intToRoman(int num) {
const vector<pair<int, string>> valueSymbols{
{1000, "M"}, {900, "CM"}, {500, "D"}, {400, "CD"}, {100, "C"},
{90, "XC"},  {50, "L"},   {40, "XL"}, {10, "X"},   {9, "IX"},
{5, "V"},    {4, "IV"},   {1, "I"}};
string ans;

for (const auto& [value, symbol] : valueSymbols) {
if (num == 0)
break;
while (num >= value) {
num -= value;
ans += symbol;
}
}

return ans;
}
};
``````

### Integer To Roman Conversion Program Solution In JAVA

``````class Solution {
public String intToRoman(int num) {
final int[] values = {1000, 900, 500, 400, 100, 90, 50, 40, 10, 9, 5, 4, 1};
final String[] symbols = {"M",  "CM", "D",  "CD", "C",  "XC", "L",
"XL", "X",  "IX", "V",  "IV", "I"};
StringBuilder sb = new StringBuilder();

for (int i = 0; i < values.length; ++i) {
if (num == 0)
break;
while (num >= values[i]) {
num -= values[i];
sb.append(symbols[i]);
}
}

return sb.toString();
}
}
``````

### Integer To Roman Conversion Program Solution In PYTHON

``````class Solution:
def intToRoman(self, num: int) -> str:
valueSymbols = [(1000, 'M'), (900, 'CM'),
(500, 'D'), (400, 'CD'),
(100, 'C'), (90, 'XC'),
(50, 'L'), (40, 'XL'),
(10, 'X'), (9, 'IX'),
(5, 'V'), (4, 'IV'),
(1, 'I')]
ans = []

for value, symbol in valueSymbols:
if num == 0:
break
count, num = divmod(num, value)
ans.append(symbol * count)

return ''.join(ans)
``````

### Approach 2: Hash Table

• Time: O(1)O(1)
• Space: O(1)O(1)

### Integer To Roman Conversion Program Solution In C++ | 2nd Approach

``````class Solution {
public:
string intToRoman(int num) {
const vector<string> M{"", "M", "MM", "MMM"};
const vector<string> C{"",  "C",  "CC",  "CCC",  "CD",
"D", "DC", "DCC", "DCCC", "CM"};
const vector<string> X{"",  "X",  "XX",  "XXX",  "XL",
"L", "LX", "LXX", "LXXX", "XC"};
const vector<string> I{"",  "I",  "II",  "III",  "IV",
"V", "VI", "VII", "VIII", "IX"};
return M[num / 1000] + C[num % 1000 / 100] + X[num % 100 / 10] +
I[num % 10];
}
};
``````

### Integer To Roman Conversion Program Solution In JAVA | 2nd Approach

``````class Solution {
public String intToRoman(int num) {
final String[] M = {"", "M", "MM", "MMM"};
final String[] C = {"", "C", "CC", "CCC", "CD", "D", "DC", "DCC", "DCCC", "CM"};
final String[] X = {"", "X", "XX", "XXX", "XL", "L", "LX", "LXX", "LXXX", "XC"};
final String[] I = {"", "I", "II", "III", "IV", "V", "VI", "VII", "VIII", "IX"};
return M[num / 1000] + C[num % 1000 / 100] + X[num % 100 / 10] + I[num % 10];
}
}
``````

### Integer To Roman Conversion Program Solution In JAVA | 2nd Approach

``````class Solution:
def intToRoman(self, num: int) -> str:
M = ['', 'M', 'MM', 'MMM']
C = ['', 'C', 'CC', 'CCC', 'CD', 'D', 'DC', 'DCC', 'DCCC', 'CM']
X = ['', 'X', 'XX', 'XXX', 'XL', 'L', 'LX', 'LXX', 'LXXX', 'XC']
I = ['', 'I', 'II', 'III', 'IV', 'V', 'VI', 'VII', 'VIII', 'IX']
return M[num // 1000] + C[num % 1000 // 100] + X[num % 100 // 10] + I[num % 10]
``````
error: Content is protected !!