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 = DN

Ex Output:
4


Ex Input:
password = ajy7tXQx!D!.w8yiehu4BDMQ4KJGOQ!EEUzC88WN4!vdh5!3

Ex Output:
28


Ex Input:
password = ZNLBuWFNBWzPedBvoMqL13oiO7bQe3wvc.b8xc!X!plGCrhbX

Ex Output:

29