A bucket sort algorithm requires that the input is taken from a uniform distribution of numbers and has an average-case running time of O(n). So, depending on the distribution of numbers, it may perform worse then O(n). Here is the pseudocode of the bucket sort algorithm: 1. Make a hash table with a chain resolution (could be a nested list or 2D array) 2. Use the hash function that assigns most significant digits to 'a bucket, a hash table entry. For example, a hash table index floor (nA[i]), where n is a number from 0- the size of the input array, A[i] is an item in the input array A. 3. Sort lists that are created by the chain resolution using insertion sort. Best running time Worst running time ✓ [Choose ] O(n^2) O(nlogn) Q(loan)

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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Bucket Sort
4
A bucket sort algorithm requires that the input is taken from a uniform distribution of numbers and
has an average-case running time of O(n). So, depending on the distribution of numbers, it may
perform worse then O(n).
Here is the pseudocode of the bucket sort algorithm:
1. Make a hash table with a chain resolution (could be a nested list or 2D array)
2. Use the hash function that assigns most significant digits to 'a bucket', a hash table entry. For
example, a hash table index = floor (nA[i]), where n is a number from 0- the size of the input
array, A[i] is an item in the input array A.
3. Sort lists that are created by the chain resolution using insertion sort.
Best running time
Worst running time
Average running time
✓ [Choose ]
O(n^2)
O(nlogn)
O(logn)
O(n^3)
O(n)
O(sqrt(n))
Transcribed Image Text:Bucket Sort 4 A bucket sort algorithm requires that the input is taken from a uniform distribution of numbers and has an average-case running time of O(n). So, depending on the distribution of numbers, it may perform worse then O(n). Here is the pseudocode of the bucket sort algorithm: 1. Make a hash table with a chain resolution (could be a nested list or 2D array) 2. Use the hash function that assigns most significant digits to 'a bucket', a hash table entry. For example, a hash table index = floor (nA[i]), where n is a number from 0- the size of the input array, A[i] is an item in the input array A. 3. Sort lists that are created by the chain resolution using insertion sort. Best running time Worst running time Average running time ✓ [Choose ] O(n^2) O(nlogn) O(logn) O(n^3) O(n) O(sqrt(n))
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