### Bucket Sorting ExerciseIn this exercise, we explore how to categorize numbers into buckets based on their digit values. The objective is to understand how sorting can be performed using different digits of a number.#### Questions:1. **Using only the 1's digit:** - What is the correct bucket for 25? - What is the correct bucket for 796? *Example provided: Ex: 5*2. **Using only the 10's digit:** - What is the correct bucket for 25? - What is the correct bucket for 796?3. **Using only the 100's digit:** - What is the correct bucket for 25? - What is the correct bucket for 796?#### Diagrams:The exercise includes three sets of empty bucket diagrams, each for sorting based on different digits:- **Buckets using 1's digit:** - Numbered from 0 to 9. - **Buckets using 10's digit:** - Numbered from 0 to 9. - **Buckets using 100's digit:** - Numbered from 0 to 9.Each bucket list is empty and ready to be filled according to the digits specified for the numbers in question. This method of sorting assists in organizing numbers based on specific positional values, enhancing understanding of digit-based categorization methods in numerical data.

Bucket sort is a sorting algorithm that divides the elements in an array or list into a finite…

Answered: Using only the 1's digit, what is the…

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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### Bucket Sorting Exercise

In this exercise, we explore how to categorize numbers into buckets based on their digit values. The objective is to understand how sorting can be performed using different digits of a number.

#### Questions:

1. **Using only the 1's digit:**
- What is the correct bucket for 25?
- What is the correct bucket for 796?

*Example provided: Ex: 5*

2. **Using only the 10's digit:**
- What is the correct bucket for 25?
- What is the correct bucket for 796?

3. **Using only the 100's digit:**
- What is the correct bucket for 25?
- What is the correct bucket for 796?

#### Diagrams:

The exercise includes three sets of empty bucket diagrams, each for sorting based on different digits:

- **Buckets using 1's digit:**
- Numbered from 0 to 9.

- **Buckets using 10's digit:**
- Numbered from 0 to 9.

- **Buckets using 100's digit:**
- Numbered from 0 to 9.

Each bucket list is empty and ready to be filled according to the digits specified for the numbers in question. This method of sorting assists in organizing numbers based on specific positional values, enhancing understanding of digit-based categorization methods in numerical data.

Expert Solution

Step 1: Bucket sort

Bucket sort is a sorting algorithm that divides the elements in an array or list into a finite number of "buckets" or bins. These buckets are typically used to represent specific ranges or intervals of values within the input data. The elements are then distributed into these buckets based on their values. After all elements are placed into the appropriate buckets, each bucket is sorted individually, typically using another sorting algorithm like insertion sort, and then the elements are concatenated to obtain the sorted output.

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