Consider a hash table of size 11 with hash function h(x) = 2x mod 11. Draw the table that results after inserting, in the given order, the following values: 65, 75, 68, 26, 59, 31, 41, 73, 114 for each of the three scenarios below: a) When collisions are handled by separate chaining; b) When collisions are handled by linear probing; c) When collisions are handled by double hashing using a second hash function h'(x) = (x mod 5) + 1. Hint, the overall (combined) hash function is H(x) = (h(x) + i xh'(x)) mod 11., where i = 0. 1. 2. 3.

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Consider a hash table of size 11 with hash function h(x) = 2x mod 11. Draw the table
that results after inserting, in the given order, the following values: 65, 75, 68, 26, 59,
31, 41, 73, 114 for each of the three scenarios below:
a) When collisions are handled by separate chaining;
b) When collisions are handled by linear probing;
c) When collisions are handled by double hashing using a second hash function h'(x) =
(x mod 5) + 1. Hint, the overall (combined) hash function is H(x) = (h(x) +
ix h'(x)) mod 11, where i = 0, 1, 2, 3, ...
d) When collisions are handled by quadratic probing with a quadratic probe function
h'(x, i) = (h(x) + 0.5 i+ 0.5 i²) mod 11 where i = 1,2,3,....
Transcribed Image Text:Consider a hash table of size 11 with hash function h(x) = 2x mod 11. Draw the table that results after inserting, in the given order, the following values: 65, 75, 68, 26, 59, 31, 41, 73, 114 for each of the three scenarios below: a) When collisions are handled by separate chaining; b) When collisions are handled by linear probing; c) When collisions are handled by double hashing using a second hash function h'(x) = (x mod 5) + 1. Hint, the overall (combined) hash function is H(x) = (h(x) + ix h'(x)) mod 11, where i = 0, 1, 2, 3, ... d) When collisions are handled by quadratic probing with a quadratic probe function h'(x, i) = (h(x) + 0.5 i+ 0.5 i²) mod 11 where i = 1,2,3,....
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