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.

Input: Consider Input: password = yHZfLxYuumoze9VrRcYjhdRF

Output: 4


Input: Consider Input: password = 66uk84COmRoRx5!p5NRnhDiTtPE.c7CHu876bO23

Output: 20


Input: Consider Input: password = 6PBW8F3l5n!KI1F58z!vBGgdNxQAm!ANSC


Output: 14