A parking lot has 31 visitor spaces, numbered from 0 to 30.Visitors are assigned parking spaces using the hashing function h(k) = k mod 31, where k is the number formed from the first three digits on a visitor's license plate.
a) Which spaces are assigned by the hashing function to cars that have these first three digits on their license plates: 317, 918, 007, 100, 111, 310?
b) Describe a procedure visitors should follow to find a free parking space, when the space they are assigned is occupied.