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Consider a hash table with 9 slots. The hash function is h(k) = k mod 9. The collisions are
resolved by chaining. The following 9 keys are inserted in the order: 5, 28, 19, 15, 20, 33,
resolved by chaining. The following 9 keys are inserted in the order: 5, 28, 19, 15, 20, 33,
- a)3, 0, and 1
- b)3, 3, and 3
- c)4, 0, and 1
- d)3, 0, and 2
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Consider a hash table with 9 slots. The hash function is h(k) = k mod ...
Following are values of hash function for all keys
5 --> 5
28 --> 1
19 --> 1 [Chained with 28]
15 --> 6
20 --> 2
33 --> 6 [Chained with 15]
12 --> 3
17 --> 8
10 --> 1 [Chained with 28 and 19]
The maximum chain length is 3. The keys 28, 19 and 10 go to same slot 1, and form a chain of length 3.
The minimum chain length 0, there are empty slots (0, 4 and 7).
Average chain length is (0 + 3 + 1 + 1 + 0 + 1 + 2 + 0 + 1)/9 = 1
Most Upvoted Answer
Consider a hash table with 9 slots. The hash function is h(k) = k mod ...
Hash Table with Chaining
A hash table is a data structure that allows for efficient access and retrieval of data based on a key. In this scenario, we have a hash table with 9 slots, and collisions are resolved by chaining.
Hash Function
The hash function used in this scenario is h(k) = k mod 9. This function takes a key, k, and returns the remainder when k is divided by 9. This ensures that the key is assigned to one of the 9 slots in the hash table.
Insertion of Keys
The following 9 keys are inserted in the order: 5, 28, 19, 15, 20, 33, 3, 0, and 1. Let's see how each key is inserted into the hash table:
- Key 5: h(5) = 5 mod 9 = 5. Key 5 is inserted into slot 5.
- Key 28: h(28) = 28 mod 9 = 1. Key 28 is inserted into slot 1.
- Key 19: h(19) = 19 mod 9 = 1. Key 19 collides with key 28 in slot 1 and is added to the chain.
- Key 15: h(15) = 15 mod 9 = 6. Key 15 is inserted into slot 6.
- Key 20: h(20) = 20 mod 9 = 2. Key 20 is inserted into slot 2.
- Key 33: h(33) = 33 mod 9 = 6. Key 33 collides with key 15 in slot 6 and is added to the chain.
- Key 3: h(3) = 3 mod 9 = 3. Key 3 is inserted into slot 3.
- Key 0: h(0) = 0 mod 9 = 0. Key 0 is inserted into slot 0.
- Key 1: h(1) = 1 mod 9 = 1. Key 1 collides with keys 28 and 19 in slot 1 and is added to the chain.
Answer
The correct answer is option 'A' (3, 0, and 1). This is because keys 3, 0, and 1 are inserted into slots 3, 0, and 1 respectively, without any collisions.
A hash table is a data structure that allows for efficient access and retrieval of data based on a key. In this scenario, we have a hash table with 9 slots, and collisions are resolved by chaining.
Hash Function
The hash function used in this scenario is h(k) = k mod 9. This function takes a key, k, and returns the remainder when k is divided by 9. This ensures that the key is assigned to one of the 9 slots in the hash table.
Insertion of Keys
The following 9 keys are inserted in the order: 5, 28, 19, 15, 20, 33, 3, 0, and 1. Let's see how each key is inserted into the hash table:
- Key 5: h(5) = 5 mod 9 = 5. Key 5 is inserted into slot 5.
- Key 28: h(28) = 28 mod 9 = 1. Key 28 is inserted into slot 1.
- Key 19: h(19) = 19 mod 9 = 1. Key 19 collides with key 28 in slot 1 and is added to the chain.
- Key 15: h(15) = 15 mod 9 = 6. Key 15 is inserted into slot 6.
- Key 20: h(20) = 20 mod 9 = 2. Key 20 is inserted into slot 2.
- Key 33: h(33) = 33 mod 9 = 6. Key 33 collides with key 15 in slot 6 and is added to the chain.
- Key 3: h(3) = 3 mod 9 = 3. Key 3 is inserted into slot 3.
- Key 0: h(0) = 0 mod 9 = 0. Key 0 is inserted into slot 0.
- Key 1: h(1) = 1 mod 9 = 1. Key 1 collides with keys 28 and 19 in slot 1 and is added to the chain.
Answer
The correct answer is option 'A' (3, 0, and 1). This is because keys 3, 0, and 1 are inserted into slots 3, 0, and 1 respectively, without any collisions.
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Consider a hash table with 9 slots. The hash function is h(k) = k mod 9. The collisions areresolved by chaining. The following 9 keys are inserted in the order: 5, 28, 19, 15, 20, 33,a)3, 0, and 1b)3, 3, and 3c)4, 0, and 1d)3, 0, and 2Correct answer is option 'A'. Can you explain this answer?
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Consider a hash table with 9 slots. The hash function is h(k) = k mod 9. The collisions areresolved by chaining. The following 9 keys are inserted in the order: 5, 28, 19, 15, 20, 33,a)3, 0, and 1b)3, 3, and 3c)4, 0, and 1d)3, 0, and 2Correct answer is option 'A'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Consider a hash table with 9 slots. The hash function is h(k) = k mod 9. The collisions areresolved by chaining. The following 9 keys are inserted in the order: 5, 28, 19, 15, 20, 33,a)3, 0, and 1b)3, 3, and 3c)4, 0, and 1d)3, 0, and 2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a hash table with 9 slots. The hash function is h(k) = k mod 9. The collisions areresolved by chaining. The following 9 keys are inserted in the order: 5, 28, 19, 15, 20, 33,a)3, 0, and 1b)3, 3, and 3c)4, 0, and 1d)3, 0, and 2Correct answer is option 'A'. Can you explain this answer?.
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