1. Consider inserting data with integer keys 8, 2, 9, 1,5 in that order into a hash table of size 7 where the hashing function is h(key) % 7. Show a separate chaining hash table after doing the insertions. What is after inserting the numbers?

1. Consider inserting data with integer keys 8, 2, 9, 1,5 in that order into a hash table of size 7 where the hashing function is h(key) % 7. Show a separate chaining hash table after doing the insertions. What is after inserting the numbers?

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Concept explainers

Hash Table

A hash table also called a hash map, is a data structure that maps key-value pairs. The hash table can be used in complex systems to provide fast access and compact storage. A hash table is a structure that stores data in an abstract data type kind of associative array. It keeps data in an array format, with a distinct index value for every data value. If the index of the required data is known, then the data can be accessed very easily.

Question

4...

1. Consider inserting data with integer keys 8, 2, 9, 1,5 in that order into a hash table of size
7 where the hashing function is h(key) % 7.
Show a separate chaining hash table after doing the insertions. What is A after inserting the
numbers?

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Draw a hash table given these numbers and hashing function, build each of the hashing options, and decide if it is efficient, and what function or size might be a better match. Explain why it is efficient or what changes you would make for it to be efficient. a. Scenario 1 a. Hashing function: k mod 4 b. Linear Probing c. Array from 0 to 3 d. Values: 19, 7, 12, 11 b. Scenario 2 a. Hashing function: k mod 10 b. Quadratic Probing c. Array from 0 to 9 d. Values: 20 39 23 56 34 29 55 13 c. Scenario 3 a. Hashing function: first three digits of a phone number b. Overflow chaining c. File with base address of 0 and ends at 999 d. Values: 3135552314, 7343455523, 3134445555, 3134441234, 7342346555, e. 5555342232, 4072984555, 2692185552 d. Scenario 4 a. Hashing function: k mod 100 b. Internal Chaining c. Array 0 to 99 d. Values: 314 325 623 2234 425 1234 2132 2361 1245 123 436 742
1. Consider inserting data with integer keys 8, 2, 9, 1,5 in that order into a hash table of size 7 where the hashing function is h(key) % 7. Show a separate chaining hash table after doing the insertions. What is A after inserting the numbers?
1. Consider an open hash (that is, one that deals with collisions by using a linked list) with a million entries. The hash algorithm takes 200ns to run, each comparison of objects takes 10ns, and everything else involved in the lookup takes trivial time. How large does the hash table need to be to use less time on chained comparisons than on the initial hash lookup? (Remember that you always have to compare once.)
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4. In the extensible hash index (each bucket can hold at most 2 items) below, if we want to insert 19, what will be the structure of the hash index after the insertion? 16 20 A h(1) = 00001 h(2) = 00010 h(3) = 00011 h(7) = 00111 h(16) = 10000 h(18) = 10010 h(19) = 10011 h(20) = 10100 00 01 1 B 10 11 Directory 3 D %3D Buckets 5. Assuming that the node capacity of B*-trees is 4, please draw the updated B*- trees upon insertions. L 5(a). Insert tuples with key 23* into the following B*-tree. Root 14 19 24 33 2* 3* 5* 7* 14* 16* 19* 20* 22* 24*| 27* 29* 33* 34* 38* | 39*
#. Consider a hash table of size 11 with hash function h(x) = x mod 11.Draw both hash tables (Closed-Bucket and Open-Bucket) that results after inserting, in the given order, the following values: 45, 12, 35, 67, 25, 52, 88, 70, 68, 53, 55
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Suppose you have a hash table with 1000 buckets and you want to insert 10,000 elements into the table. If the hash function distributes the elements uniformly, what is the expected number of collisions during the insertion process?