Question 10 [6 marks] Each integer in Zn represents a residue class or congruence class. (a) Define the set of congruence classes of (mod 14). E (b ) List the congruence classes (mod 14). (c) A certain country Y has 301 health insurance companies labeled 0, 1, 2, ..., 300. A citizen of that country is assigned to one of the health insurance companies based on the citizen's registration number and the result of the hashing function h. Given that the regstration number is defined as T and the hashing function h is defined as h(T) = T mod 301, if Johnson Markston is a citizen of country Y with a registration number of 9658813965002, by simplifying the TRN to a set of addition and multiplication of positive integers, apply the principles of modular arithmetic and illustrate to which health insurance company, Johnson Markston would be assigned. [4]