Consider a hash table of size seven, with starting index zero, and a hash function (7x+3) mod 4. Assuming the hash table is initially empty, which of the following is the contents of the table when the sequence 1, 3, 8, 10 is inserted into the table using closed hashing ? Here “__” denotes an empty location in the table.
(A) 3, 10, 1, 8, __ , __ , __
(B) 1, 3, 8, 10, __ , __ , __
(C) 1, __ , 3, __ , 8, __ , 10
(D) 3, 10, __ , __ , 8, __ , __
Answer: (A)
Explanation: Keys are 1, 3, 8, 10.
h(x) = (7*x + 3)
h(1) = (10) mod 4 = 2
h(3) = (7 * 3 + 3) mod 4 = 24 mod 4 = 0
h(8) = (7 * 8 + 3) mod 4 = 3
h(10)= (7 * 10 + 3)mod 4 = 1
i.e. 3, 10, 1, 8, __ , __ , __
So, option (A) is correct.
Quiz of this Question
Ready to dive in? Explore our Free Demo Content and join our DSA course, trusted by over 100,000 neveropen!