A company changes passwords for its systems every month by

rotating the previous month's password by a certain number of

characters. However, errors may occur, resulting in a new password

that isn't a valid rotation of the old one.

So$,$ Security analysts of the company must check if the new

passwords are valid rotations of the old passwords and determine

the minimum number of rotations needed.

Help them in determining the minimum number of rotations needed

to change the old password into the new password.

Given two words representing old$\_$password and

new$\_$password, write a program to check if

new$\_$password is a valid rotation of

If

is a valid rotation of

$,$ print

True along with the minimum number of rotations needed to change

into

$.$ Otherwise, print False.