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 = nMv4!dkn2xw867JqkZUw5QrZ3Ataau

Output: 10


Input: Consider Input: password = !wsGmxKanG4wsT62Gm5lcjsMZRiwoIcIE70MR4BYWgN

Output: 23


Input: Consider Input: password = a2Xz16ty5Yui0PTBTgZ7XBHvLSj


Output: 7