Justify each answer. Write pseudocode for an algorithm that interchanges the values of the variables m and n, using only assignments (assigning values to variables).

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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Justify each answer.

  1. Write pseudocode for an algorithm that interchanges the values of the variables m and n, using only assignments (assigning values to variables).

  2. Arrange the functions (1.5)n, n100, (log2n)3, 10n, n!, and n99 so that each function is big-O of the next function.

  3. Give a big-O estimate for the following algorithm:

count = array of k + 1 zeros

for x in input do

     count[key(x)] + = 1

end for

total = 0

for i in 0,1,...k do

      count[i], total = total, count[i] + total

end for

output = array of the same length as input

for x in input do

     output[count[key(x)]] = x

     count[key(x)] + = 1

end for return output

Algorithms
Justify each answer.
a) Write pseudocode for an algorithm that interchanges the values of the variables m and n, using only
assignments (assigning values to variables).
b)
Arrange the functions (1.5)", n100, (log2n)³, 10", n!, and n9 so that each function is big-O of the
next function.
c) Give a big-O estimate for the following algorithm.
count = array of k + 1 zeros
for x in input do
count[key(x)] + = 1
end for
total = 0
for i in 0,1,...k do
count[i), total = total, count[i] + total
end for
output = array of the same length as input
for x in input do
output[count[key(x)]] = x
count[key(x)] + = 1
end for return
output
Transcribed Image Text:Algorithms Justify each answer. a) Write pseudocode for an algorithm that interchanges the values of the variables m and n, using only assignments (assigning values to variables). b) Arrange the functions (1.5)", n100, (log2n)³, 10", n!, and n9 so that each function is big-O of the next function. c) Give a big-O estimate for the following algorithm. count = array of k + 1 zeros for x in input do count[key(x)] + = 1 end for total = 0 for i in 0,1,...k do count[i), total = total, count[i] + total end for output = array of the same length as input for x in input do output[count[key(x)]] = x count[key(x)] + = 1 end for return output
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