Suppose we have two hash function h(k) = k%7 and h'(k) :6 - (k%7). Given the ordered input {30, 44, 22, 35, 33} and an empty hash table with size 7, answer the following questions. (Part A) Calculate the hashed key for every input: Кeys h(k) h'(k) 30 44 22 35 33 (Part B) Show the hash table using hash function h(k) and chaining (i.e., open address) with singly linked list after insert all the inputs (Sample answer: if keys 20, 30, and 40 are hashed into the same place with 20 being the first element and 40 being the last element, then the answer is 40->30->20; if a table entry is empty, then the answer is null.): Hash Table Index Кeys 1 2 3 4 5 6.

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
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PLEASE HELP WITH PART A AND B WITH WORK AND ANSWER!!

**Hash Function and Hash Table Construction**

Suppose we have two hash functions \( h(k) = k \% 7 \) and \( h'(k) = 6 - (k \% 7) \). Given the ordered input \(\{30, 44, 22, 35, 33\}\) and an empty hash table with size 7, answer the following questions.

### Part A: Calculate the Hashed Key for Every Input

| Keys | \( h(k) \) | \( h'(k) \) |
|------|------------|------------|
| 30   |            |            |
| 44   |            |            |
| 22   |            |            |
| 35   |            |            |
| 33   |            |            |

### Part B: Show the Hash Table Using Hash Function \( h(k) \) and Chaining

With singly linked list after inserting all the inputs. If keys are hashed into the same place, list them in order of insertion. If a table entry is empty, it is noted as **null**.

**Sample Answer:** If keys 20, 30, and 40 are hashed into the same place with 20 being the first element and 40 the last, the entry is \( 40 \rightarrow 30 \rightarrow 20 \). If a table entry is empty, it is **null**.

| Hash Table Index | Keys              |
|------------------|-------------------|
| 0                |                   |
| 1                |                   |
| 2                |                   |
| 3                |                   |
| 4                |                   |
| 5                |                   |
| 6                |                   |

This exercise involves evaluating hash values and effectively managing collisions using chaining.
Transcribed Image Text:**Hash Function and Hash Table Construction** Suppose we have two hash functions \( h(k) = k \% 7 \) and \( h'(k) = 6 - (k \% 7) \). Given the ordered input \(\{30, 44, 22, 35, 33\}\) and an empty hash table with size 7, answer the following questions. ### Part A: Calculate the Hashed Key for Every Input | Keys | \( h(k) \) | \( h'(k) \) | |------|------------|------------| | 30 | | | | 44 | | | | 22 | | | | 35 | | | | 33 | | | ### Part B: Show the Hash Table Using Hash Function \( h(k) \) and Chaining With singly linked list after inserting all the inputs. If keys are hashed into the same place, list them in order of insertion. If a table entry is empty, it is noted as **null**. **Sample Answer:** If keys 20, 30, and 40 are hashed into the same place with 20 being the first element and 40 the last, the entry is \( 40 \rightarrow 30 \rightarrow 20 \). If a table entry is empty, it is **null**. | Hash Table Index | Keys | |------------------|-------------------| | 0 | | | 1 | | | 2 | | | 3 | | | 4 | | | 5 | | | 6 | | This exercise involves evaluating hash values and effectively managing collisions using chaining.
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