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 thatreplace 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 temparray[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 withdata that represents the worst case. Show the activations of bubbleSort, sort andbubble 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 aformula 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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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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Concept explainers

Binomial Heap

A binomial heap is a group of binomial trees. This data structure acts as a priority queue and implements the merge operation faster.

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?

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