You are given a password and you need to generate the number of steps required to convert the given password to a strong password. A password is considered strong if (a) it has at least 6 characters and at most 20 characters; (b) it contains at least one lowercase letter and one uppercase letter, and at least one digit; (c) it does not contain three repeating characters in a row. In one step you can: (1) Insert one character to password, (2) delete one character from password, or (3) replace one character of password with another character.

Ex Input:
password = 2G.k2c.JO16YkJRx3wB

Ex Output:
0


Ex Input:
password = zGa53W3S6TttuPm1Ef9Er1r

Ex Output:
3


Ex Input:
password = 9R9kwROEjYJXsau8Abjyl.suPEzl

Ex Output:

8