2. Refer back to the recursion tree you provided in the previous problem. Determine a formula that counts the numbers of nodes in that tree. What is Big- for execution time? Determine a formula that expresses the height of the tree. What is the Big- for memory?
2. Refer back to the recursion tree you provided in the previous problem. Determine a formula that counts the numbers of nodes in that tree. What is Big- for execution time? Determine a formula that expresses the height of the tree. What is the Big- for memory?
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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Question
I need question 2 ans previous question 1 has been answered
![1. Shown below is the code for the bubble sort consisting of two recursive methods that
replace the two nested loops that would be used in its iterative counterpart:
void bubbleSort (int array[]) {
sort (array, 0);
}
void sort (int[] array, int i) {
(i < array.length - 1) {
if
}
}
}
bubble (array, i, array.length - 1);
sort (array, i + 1);
void bubble (int[] array, int i, int j) {
if (j <= i)
return;
if (array[j] < array[j - 1]) {
int temp
array[j];
array[j] = array[j - 1];
array[j 1] = temp;
}
bubble (array, i, j - 1);
Draw the recursion tree for bubbleSort when it is called for an array of length 4 with
data that represents the worst case. Show the activations of bubbleSort, sort and
bubble in the tree. Explain how the recursion tree would be different in the best case.
2. Refer back to the recursion tree you provided in the previous problem. Determine a
formula that counts the numbers of nodes in that tree. What is Big-Ⓒ for execution time?
Determine a formula that expresses the height of the tree. What is the Big-Ⓒ for memory?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F86383248-9505-458e-9cd1-4dc74fc7948d%2Fd52d4544-237f-44c6-a6a2-cf34b89bea5d%2Fc0maepc_processed.png&w=3840&q=75)
Transcribed Image Text:1. Shown below is the code for the bubble sort consisting of two recursive methods that
replace the two nested loops that would be used in its iterative counterpart:
void bubbleSort (int array[]) {
sort (array, 0);
}
void sort (int[] array, int i) {
(i < array.length - 1) {
if
}
}
}
bubble (array, i, array.length - 1);
sort (array, i + 1);
void bubble (int[] array, int i, int j) {
if (j <= i)
return;
if (array[j] < array[j - 1]) {
int temp
array[j];
array[j] = array[j - 1];
array[j 1] = temp;
}
bubble (array, i, j - 1);
Draw the recursion tree for bubbleSort when it is called for an array of length 4 with
data that represents the worst case. Show the activations of bubbleSort, sort and
bubble in the tree. Explain how the recursion tree would be different in the best case.
2. Refer back to the recursion tree you provided in the previous problem. Determine a
formula that counts the numbers of nodes in that tree. What is Big-Ⓒ for execution time?
Determine a formula that expresses the height of the tree. What is the Big-Ⓒ for memory?
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