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 = JIG7xWG0SrMnKmX7WLSlJ6N88URsctR!iUIrjn0.B4gYUmE

Ex Output:
27


Ex Input:
password = Ig6W.QscsZjXsR9r6KuPUGWuV70kZXCV0eyw9M1eGGaoIo

Ex Output:
26


Ex Input:
password = Gn!77J!SvxW.9J.xxBj4eMA69t6MssQn10ve1UScAShcb3va

Ex Output:

28