Strange numbers X47452

A positive number $> 0$ is “strange” if when adding each of its digits raised to the number of digits that make it up, we obtain the number itself.

For example, 153 (which has three digits) is “strange”, $153 = 1^{3} + 5^{3} + 3^{3}$

Make a program that reads a positive integer and checks if it is "strange" or not.

Input

A positive integer $> 0$ and $< 10000$

Output

Prints the input number and says if it is a “strange” number or not

Observation

It is forbidden to use any external function except, cin and cout, and also the program must be well documented if not it will be invalidated.