Algorithm 1: Algorithm sort. 1 for i Input: A list a₁,..., an of numbers. Output: The sorted list a₁ ≤...≤an. 1, ..., n 1 do for j= 1,..., n - 1 do if aj aj+1 then 2 > x = a j ; 4 5 6 = A j = aj +1 ; aj+1 = x;

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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Algorithm
1: Algorithm sort.
Input: A list a₁,..., an of numbers.
Output: The sorted list a₁ ≤...< an.
for i= 1, ...,n - 1 do
1
2
4
5
for j = 1,..., n - 1 do
if aj > aj+1 then
x = aj ;
A j = Aj+1 ;
aj+1 = x;
a. Show that sort runs in O(n²) time.
b. What is the best case running time of sort?
Transcribed Image Text:Algorithm 1: Algorithm sort. Input: A list a₁,..., an of numbers. Output: The sorted list a₁ ≤...< an. for i= 1, ...,n - 1 do 1 2 4 5 for j = 1,..., n - 1 do if aj > aj+1 then x = aj ; A j = Aj+1 ; aj+1 = x; a. Show that sort runs in O(n²) time. b. What is the best case running time of sort?
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