# Special two digit number

A special two-digit number is a number such that when the sum of the digits of the number is added to the product of its digits, the result is equal to the original two-digit number.

Examples :

```input : 59.
output : 59 is a Special Two-Digit Number
Explanation:
Sum of digits = 5 + 9 = 14
Product of its digits = 5 x 9 = 45
Sum of the sum of digits
and product of digits = 14 + 45 = 59

input: 29
output: 29 is a Special Two-digit Number
Explanation:
Sum of digits = 9 + 2 = 11
Product of digits = 9 * 2 = 18
Sum of the sum of digits
and product of digits = 11 + 18 = 29
```

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Approach:
Extract the first and last digit of the number and add and multiply the digits separately. Then, add the sum and product of the digits of the two-digit number and compare it to the original number. If they are same, then it is a Special Two-Digit Number, else it is not.

Below is the implementation of above approach:

## C++

 `// CPP program to find if number is  ` `// a Special Two-Digit number or not ` `#include ` `using` `namespace` `std; ` ` `  `// function to find if number  ` `// is special or not ` `void` `specialNumber(``int` `n) ` `{ ` `    ``// Checking whether entered ` `    ``// number is 2 digit or not ` `    ``if` `(n < 10 || n > 99)  ` `        ``cout << ``"Invalid Input! Number"` `             ``<< ``" should have 2 digits only"``; ` `    ``else` `    ``{  ` `        ``// Finding the first digit ` `        ``int` `first = n / 10; ` `         `  `        ``// Finding the last digit ` `        ``int` `last = n % 10;  ` `         `  `        ``// Finding the sum of ` `        ``// the digits ` `        ``int` `sum = first + last;  ` `         `  `        ``// Finding the product ` `        ``// of the digits ` `        ``int` `pro = first * last;  ` `         `  `        ``if` `((sum + pro) == n) ` `        ``{ ` `            ``cout << n <<``" is a Special "` `                 ``<< ``"Two-Digit Number"``; ` `        ``} ` `        ``else` `        ``{ ` `            ``cout << n << ``" is Not a "` `                 ``<< ``"Special Two-Digit Number"``; ` `        ``} ` `    ``} ` `} ` ` `  `// Driver Code ` `int` `main() ` `{ ` `    ``int` `n = 59; ` `     `  `    ``// function calling ` `    ``specialNumber(n); ` `    ``return` `0; ` `} `

## Java

 `// Java program to find if number is  ` `// a Special Two-Digit number or not ` `import` `java.io.*; ` ` `  `class` `GFG ` `{  ` `    ``// function to find if number  ` `    ``// is special or not ` `    ``static` `void` `specialNumber(``int` `n) ` `    ``{  ` `        ``// Checking whether entered  ` `        ``// number is 2 digit or not ` `        ``if``(n < ``10` `|| n > ``99``)  ` `            ``System.out.println(``"Invalid Input! "` `+ ` `                           ``"Number should have "` `+  ` `                                 ``"2 digits only"``); ` `        ``else` `        ``{  ` `            ``// Finding the first digit ` `            ``int` `first = n / ``10``;  ` `             `  `            ``// Finding the last digit ` `            ``int` `last = n % ``10``;  ` `             `  `            ``// Finding the sum  ` `            ``// of the digits ` `            ``int` `sum = first + last;  ` `             `  `            ``// Finding the product ` `            ``// of the digits ` `            ``int` `pro = first * last;  ` `             `  `            ``if``((sum + pro) == n) ` `            ``{ ` `                ``System.out.println(n + ``" is a Special"` `+  ` `                                   ``" Two-Digit Number"``); ` `            ``} ` `            ``else` `            ``{ ` `                ``System.out.println(n +``" is Not a Special"` `+  ` `                                      ``" Two-Digit Number"``); ` `            ``} ` `        ``} ` `    ``} ` `     `  `    ``// Driver Code ` `    ``public` `static` `void` `main(String args[]) ` `    ``{ ` `        ``int` `n = ``59``;  ` `        ``specialNumber(n); ` `    ``} ` `} `

## Python3

 `# Python3 code to find if  ` `# number is a Special  ` `# Two-Digit number or not ` ` `  `# Function to find if number  ` `# is special or not ` `def` `specialNumber(n): ` ` `  `    ``# Checking whether entered ` `    ``# number is 2 digit or not ` `    ``if` `(n < ``10` `or` `n > ``99``):  ` `        ``print``(``"Invalid Input! Number"``, ` `              ``" should have 2 digits only"``) ` `    ``else``: ` `     `  `        ``# Finding the first digit ` `        ``first ``=` `n ``/``/` `10` `         `  `        ``# Finding the last digit ` `        ``last ``=` `n ``%` `10` `         `  `        ``# Finding the sum ` `        ``# of the digits ` `        ``sum` `=` `first ``+` `last  ` `         `  `        ``# Finding the product ` `        ``# of the digits ` `        ``pro ``=` `first ``*` `last  ` `         `  `        ``if` `((``sum` `+` `pro) ``=``=` `n): ` `         `  `            ``print``(n ,``" is a Special "``, ` `                   ``"Two-Digit Number"``) ` `        ``else``: ` `         `  `            ``print``(n , ``" is Not a "``, ` `                ``"Special Two-Digit Number"``) ` `         `  `# Driver code ` `n ``=` `59` `specialNumber(n) ` ` `  `# This code is contributed ` `# by Anant Agarwal. `

## C#

 `// C# program to find if number is  ` `// a Special Two-Digit number or not ` `using` `System; ` ` `  `class` `GFG  ` `{ ` `     `  `    ``// function to find if number  ` `    ``// is special or not ` `    ``static` `void` `specialNumber(``int` `n) ` `    ``{  ` `         `  `        ``// Checking whether entered  ` `        ``// number is 2 digit or not ` `        ``if``(n < 10 || n > 99)  ` `            ``Console.WriteLine(``"Invalid Input!"` `+  ` `                          ``" Number should have"``+  ` `                              ``" 2 digits only"``); ` `        ``else` `        ``{  ` `             `  `            ``// Finding the first digit ` `            ``int` `first = n / 10;  ` `             `  `            ``// Finding the last digit ` `            ``int` `last = n % 10;  ` `             `  `            ``// Finding the sum  ` `            ``// of the digits ` `            ``int` `sum = first + last;  ` `             `  `            ``// Finding the product  ` `            ``// of the digits ` `            ``int` `pro = first * last;  ` `             `  `            ``if``((sum + pro) == n) ` `            ``{ ` `                ``Console.WriteLine(n + ``" is a Special"``+  ` `                                 ``" Two-Digit Number"``); ` `            ``} ` `            ``else` `            ``{ ` `                ``Console.WriteLine(n + ``" is Not a Special"` `+  ` `                                      ``" Two-Digit Number"``); ` `            ``} ` `        ``} ` `    ``} ` `     `  `    ``// Driver Code ` `    ``public` `static` `void` `Main() ` `    ``{ ` `        ``int` `n = 59;  ` `         `  `        ``specialNumber(n); ` `    ``} ` `} ` ` `  `// This code is contributed by vt_m. `

## PHP

 ` 99)  ` `        ``echo` `"Invalid Input!  ` `              ``Number should  ` `              ``have 2 digits only"; ` `    ``else` `    ``{  ` `        ``// Finding the first digit ` `        ``\$first` `= ``\$n` `/ 10; ` `         `  `        ``// Finding the last digit ` `        ``\$last` `= ``\$n` `% 10;  ` `         `  `        ``// Finding the sum  ` `        ``// of the digits ` `        ``\$sum` `= ``\$first` `+ ``\$last``;  ` `         `  `        ``// Finding the product ` `        ``// of the digits ` `        ``\$pro` `= ``\$first` `* ``\$last``;  ` `         `  `        ``if` `((``\$sum` `+ ``\$pro``) != ``\$n``) ` `        ``{ ` `            ``echo` `\$n` `,``" is a Special "` `. ` `                    ``"Two-Digit Number"``; ` `        ``} ` `        ``else` `        ``{ ` `            ``echo` `\$n``, ``" is Not a Special"``.  ` `                     ``" Two-Digit Number"``; ` `        ``} ` `    ``} ` `} ` ` `  `// Driver Code ` `\$n` `= 59; ` ` `  `// function calling ` `specialNumber(``\$n``); ` ` `  `// This code is contributed by ajit. ` `?> `

Output :

```59 is a Special Two-Digit Number
```

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