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Consider a hash table of size 11 that uses open addressing with linear probing. Let h(k) = kmod 11 be the hash function used. A sequence of records with keys 43 36 92 87 11 4 71 13 14 is inserted into an initially empty hash table, the bins of which are indexed from zero to ten. What is the index of the bin into which the last record is inserted?
  • a)
    3
  • b)
    4
  • c)
    6
  • d)
    7
Correct answer is option 'D'. Can you explain this answer?
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Consider a hash table of size 11 that uses open addressing with linear...
Hash Table with Open Addressing and Linear Probing

In this type of hashing, when there is a collision, the next available slot in the hash table is searched till an empty slot is found.

Hash Function

The hash function used in this problem is h(k) = kmod 11, which means that the remainder of the key divided by 11 is taken as the hash value.

Insertion of Records

The sequence of records with keys 43 36 92 87 11 4 71 13 14 is inserted into an initially empty hash table using the above hash function and open addressing with linear probing.

- Record with key 43 is inserted at index 10 (h(43) = 10).
- Record with key 36 is inserted at index 3 (h(36) = 3).
- Record with key 92 is inserted at index 3 (collision, next available slot is searched, h(92) = 3+1 = 4).
- Record with key 87 is inserted at index 9 (h(87) = 9).
- Record with key 11 is inserted at index 0 (h(11) = 0).
- Record with key 4 is inserted at index 4 (h(4) = 4).
- Record with key 71 is inserted at index 5 (h(71) = 5).
- Record with key 13 is inserted at index 2 (h(13) = 2).
- Record with key 14 is inserted at index 6 (h(14) = 3+2 = 5).

Answer

The index of the bin into which the last record (with key 14) is inserted is 6.
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Consider a hash table of size 11 that uses open addressing with linear probing. Let h(k) = kmod 11 be the hash function used. A sequence of records with keys 43 36 92 87 11 4 71 13 14 is inserted into an initially empty hash table, the bins of which are indexed from zero to ten. What is the index of the bin into which the last record is inserted?a)3b)4c)6d)7Correct answer is option 'D'. Can you explain this answer?
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