March 4, 2014

A new kind of phone has been developed. To dial the area code, the three dials must be set accordingly. They can only be turned counterclockwise in the direction of the higher numbers. The left dial has the property that when you turn it a certain number of notches, the middle dial turns that many notches as well. The middle dial has the property that when you turn it, both the left and the right dial turn that many notches. The right dial has the property that when you turn it, the middle dial turns that many notches. Given that the dial are set for the Manhattan area code (212), how many notches must you turn each dial to change the setting for the Brooklyn area code?