Question
Download Solution PDFConsider a hash table of size seven with starting index zero and a hash function (6x + 3) mod 4. Assuming the hash table is initially empty. Which of the following is the content of the table when the sequence 1, 3, 8, 10, 5. is inserted into the table using closed hashing? Here "_______" denotes an empty location in the table.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is _1, 3, 8, 10, 5, _
Key PointsTo insert each element into the hash table using closed hashing, we can use the given hash function (6x + 3) mod 4. Let's go through each element in the sequence and insert them into the hash table:
- Insert 1:
- Hash value = (6 * 1 + 3) mod 4 = 9 mod 4 = 1
- The table becomes: _, 1, _, _, _, _, _
- Insert 3:
- Hash value = (6 * 3 + 3) mod 4 = 21 mod 4 = 1 (collision, linear probing)
- The table becomes: _, 1, 3, _, _, _, _
- Insert 8:
- Hash value = (6 * 8 + 3) mod 4 = 51 mod 4 = 3
- The table becomes: _, 1, 3, 8, _, _, _
- Insert 10:
- Hash value = (6 * 10 + 3) mod 4 = 63 mod 4 = 3 (collision, linear probing)
- The table becomes: _, 1, 3, 8, 10, _, _
- Insert 5:
- Hash value = (6 * 5 + 3) mod 4 = 33 mod 4 = 1 (collision, linear probing)
- The table becomes: _, 1, 3, 8, 10, 5, _
So, the correct answer is: 4) _, 1, 3, 8, 10, 5, _
Last updated on Jun 6, 2025
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