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 = HGA7nTBTAudkpXLJF8LY8nMZiSmqYeLYgLz0oOqQWzQBAZgT

Output: 28


Input: Consider Input: password = wzvt5dMF!5M6tz7LBT2vdIP0JE

Output: 6


Input: Consider Input: password = qe3Plt43vzolZBqlYXr7FvCinWH83ixMA


Output: 13