Consider the pseudo-code below: ALGORITHM MaxElement(A[0..n - 1]) //Determines the value of the largest element in a given array //Input: An array A[0..n - 1] of real numbers //Output: The value of the largest element in A maxval - A[0] for i 1 to n - 1 do if A[i] > maxval maxval ← A[i] return maxval a. What is the basic operation of this algorithm? b. Give the best-case and worst-case time complexities of this algorithm in asymptotic notation. Consider the algorithm below and give its best-case and worst-case time complexities in asymptotic notation. ALGORITHM UniqueElements (A[0..n-1]) //Determines whether all the elements in a given array are distinct //Input: An array A[0..n - 1] //Output: Returns "true" if all the elements in A are distinct // and "false" otherwise for i 0 to n - 2 do for ji+ 1 to n - 1 do if A[i] = A[j] return False return True

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
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Consider the pseudo-code below:
ALGORITHM MaxElement(A[0..n - 1])
//Determines the value of the largest element in a given array
//Input: An array A[0..n - 1] of real numbers
//Output: The value of the largest element in A maxval - A[0]
for i 1 to n - 1 do
if A[i] > maxval
maxval ← A[i]
return maxval
a. What is the basic operation of this algorithm?
b. Give the best-case and worst-case time complexities of this algorithm in asymptotic
notation.
Consider the algorithm below and give its best-case and worst-case time complexities in
asymptotic notation.
ALGORITHM UniqueElements (A[0..n-1])
//Determines whether all the elements in a given array are distinct //Input: An array A[0..n - 1]
//Output: Returns "true" if all the elements in A are distinct // and "false" otherwise
for i 0 to n - 2 do
for ji+ 1 to n - 1 do
if A[i] = A[j] return False
return True
Transcribed Image Text:Consider the pseudo-code below: ALGORITHM MaxElement(A[0..n - 1]) //Determines the value of the largest element in a given array //Input: An array A[0..n - 1] of real numbers //Output: The value of the largest element in A maxval - A[0] for i 1 to n - 1 do if A[i] > maxval maxval ← A[i] return maxval a. What is the basic operation of this algorithm? b. Give the best-case and worst-case time complexities of this algorithm in asymptotic notation. Consider the algorithm below and give its best-case and worst-case time complexities in asymptotic notation. ALGORITHM UniqueElements (A[0..n-1]) //Determines whether all the elements in a given array are distinct //Input: An array A[0..n - 1] //Output: Returns "true" if all the elements in A are distinct // and "false" otherwise for i 0 to n - 2 do for ji+ 1 to n - 1 do if A[i] = A[j] return False return True
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