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 = 1a869KImC.RSPsQ!H9JVz8qc7HeRxIpmH2Mk9jMA3Zme

Output: 24


Input: Consider Input: password = 7Wl3rOw27PnPDTCvq.1cmc

Output: 2


Input: Consider Input: password = g6NeE!9P587P81IxVwfWBb9D98d43k2b


Output: 12