George has a setup which includes a special keyboard and a monitor that initially displays $0.$ The special keyboard has $11$ numeric keys $\{0,1,2,3,4,5,6,7,8,9,00\}.$ If he presses $00,$ the previously displayed value will be multiplied by $100.$ Whereas, if he presses any other numeric key, the previously displayed value will first be multiplied by $10,$ and then the number on the key will be added to it$.$

You are given a numeric string S$.$ Your task is to help George find and return an integer value representing the minimum number of

key presses to reach the number.