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 = 1c!v2wa53900kOMIk

Ex Output:
0


Ex Input:
password = 9XNTTeoYeYOEcwTtxIhPrBAshTSqI41oBgqXn

Ex Output:
17


Ex Input:
password = DspLKXkoMFNXqU.IN9bJxjIS

Ex Output:

4