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) { if (i

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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Don't use ai to answer I will report your answer Solve both parts properly
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) {
if (i <array.length - 1) {
bubble (array, i, array.length - 1);
sort (array, i + 1)%;B
}
}
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 tee for puppiesort wifen it is called for an array of lengui 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. Kefer back to the recursion tree you provided in the previous problem. Determine a
formula that counts the numbers of modes in that tree. What is Big-✪ for execution time?
Determine a formula that expresses the height of the tree. What is the Big O for memory?
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) { if (i <array.length - 1) { bubble (array, i, array.length - 1); sort (array, i + 1)%;B } } 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 tee for puppiesort wifen it is called for an array of lengui 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. Kefer back to the recursion tree you provided in the previous problem. Determine a formula that counts the numbers of modes in that tree. What is Big-✪ for execution time? Determine a formula that expresses the height of the tree. What is the Big O for memory?
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