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A hash table contains 10 buckets and uses linear probing to resolve collisions. The key values are integers and the hash function used is key % 10. If the values 43,165,62,123,142 are inserted in the table, in what location would the key value 142 be inserted?
  • a)
    2
  • b)
    3
  • c)
    4
  • d)
    6
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A hash table contains 10 buckets and uses linear probing to resolve co...
43,165,62,123 and 142 are inserted in the table. 43 mapped to location 3,165 mapped to location 5, 62 mapped to location 2, 123 mapped to location 3 (occupied), so it goes to location 4, 142 mapped to location 2 (occupied), 3, 4, and 5 are also probes, so it goes to location 6.
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A hash table contains 10 buckets and uses linear probing to resolve co...
Hash Table with Linear Probing

- A hash table is a data structure that maps keys to values using a hash function.
- Linear probing is a collision resolution technique that places a new element in the next available slot in the hash table if the slot corresponding to the hash value of the key is already occupied.

Given Information

- The hash table contains 10 buckets.
- The hash function used is key % 10.
- The values 43, 165, 62, 123, and 142 are inserted in the table.

Calculation

- The hash values for the given keys are:
- 43 % 10 = 3
- 165 % 10 = 5
- 62 % 10 = 2
- 123 % 10 = 3
- 142 % 10 = 2 (collision with 62, probe to the next slot)
- 142 will be inserted in the next available slot, which is 6.

Answer

- The key value 142 will be inserted in location 6. Therefore, the correct answer is option (d).
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A hash table contains 10 buckets and uses linear probing to resolve collisions. The key values are integers and the hash function used is key % 10. If the values 43,165,62,123,142 are inserted in the table, in what location would the key value 142 be inserted?a)2b)3c)4d)6Correct answer is option 'D'. Can you explain this answer?
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