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Special two digit number
• Difficulty Level : Easy
• Last Updated : 16 Apr, 2021

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```

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.``?>`

## Javascript

 ``

Output :

`59 is a Special Two-Digit Number`

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