Please answer the following multiple choice questions and provide a written explanation for each answer.

17. Insert the keys 31 18 24 19 53, in this order, into an initially empty hash table of 7 slots, with slots numbered 0 through 6. Use closed hashing, with double hashing to resolve collisions. Use Hl (k)k mod 7 as the primary hash function and the function H2(k)= (k mod 3) + 1 to determine the step size in a probe sequence. The final state of the table (using '-to indicate empty slots) is a. 53 31 18 24 19 b. -- 53 24 31 18 19 c. 19-- -- 31 18 24 53 d. 24 53 - 31 18 19 . e. 53 -31 18 19 24 f. 19 53 24 31 18 -- - g. none of the above