The keys 5, 28, 19, 15, 26, 33, 12, 17, 10 are inserted into a hash table…

Hash Table Chain Analysis

Given hash function: h(k) = k mod 9

Step 1: Calculate hash values for each key

• 5 mod 9 = 5

• 28 mod 9 = 1

• 19 mod 9 = 1

• 15 mod 9 = 6

• 26 mod 9 = 8

• 33 mod 9 = 6

• 12 mod 9 = 3

• 17 mod 9 = 8

• 10 mod 9 = 1

Step 2: Build chains at each index

• Index 0: (empty)

• Index 1: 28 → 19 → 10 (length = 3)

• Index 2: (empty)

• Index 3: 12 (length = 1)

• Index 4: (empty)

• Index 5: 5 (length = 1)

• Index 6: 15 → 33 (length = 2)

• Index 7: (empty)

• Index 8: 26 → 17 (length = 2)

Step 3: Find maximum chain length

The longest chain is at index 1 with length 3.

Answer: 3