1. Joe Pancake has just invented what he thinks is a great sorting algorithm. Consider the followingcode:/*** Returns index of the maximum element in array[0..n-1].*/int find_max(int array[], const int length) {int max_index, i;for (max_index 0, i=0; i < length; ++i) {if (array[i]> array[max_index]) {max_index =}}return max_index;}}/*** Reverses array [0..limit].*/void flip(int array[], int limit) {int temp, start = 0;while start < limit)array[start];}tempi;=array[start] = array[limit];array[limit]= temp;start++;limit--;}void pancake_sort(int array[], const int length) {for (int curr_size length; curr_size > 1; --curr_size) {int max_index find_max(array, curr_size);if (max_index != curr_size-1) {}flip(array, max_index);flip(array, curr_size-1); Show the array [2, 4, 1, 5. 31 after the for loop in pancake_sort executes once.What is the best-case complexity of the pancake_sort algorithm above including helper functions?What is the worst-case complexity of the pancake_sort algorithm above including helper functions?Which of the elementary sorting algorithms discussed in class is closest to (but not exactly the sameas) what Joe has written? Use the complexities to guide your response. Circle your answerbubble / selection / insertion

Define find_max function:Initialize max_index to 0.Iterate through the array from index 0 to length…

Show the array [2, 4, 1, 5. 31 after the for loop in pancake_sort executes once. What is the best-case complexity of the pancake_sort algorithm above including helper functions? What is the worst-case complexity of the pancake_sort algorithm above including helper functions? Which of the elementary sorting algorithms discussed in class is closest to (but not exactly the same as) what Joe has written? Use the complexities to guide your response. Circle your answer bubble / selection / insertion

Show the array [2, 4, 1, 5. 31 after the for loop in pancake_sort executes once. What is the best-case complexity of the pancake_sort algorithm above including helper functions? What is the worst-case complexity of the pancake_sort algorithm above including helper functions? Which of the elementary sorting algorithms discussed in class is closest to (but not exactly the same as) what Joe has written? Use the complexities to guide your response. Circle your answer bubble / selection / insertion

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

Randomized Select Algorithm

A randomized algorithm is defined as one that uses a certain amount of randomization in its logic or operation. It is said to be an algorithm that depends on the random number to perform its operation. It is used for reducing the overall time complexity, space complexity in the standard algorithm. The randomized algorithm uses the concept of random numbers to find the solutions to the different kinds of problems and also to improve the problem solutions.

Question

1. Joe Pancake has just invented what he thinks is a great sorting algorithm. Consider the following
code:
/**
* Returns index of the maximum element in array[0..n-1].
*/
int find_max(int array[], const int length) {
int max_index, i;
for (max_index 0, i
=
0; i < length; ++i) {
if (array[i]> array[max_index]) {
max_index =
}
}
return max_index;
}
}
/**
* Reverses array [0..limit].
*/
void flip(int array[], int limit) {
int temp, start = 0;
while start < limit)
array[start];
}
temp
i;
=
array[start] = array[limit];
array[limit]
= temp;
start++;
limit--;
}
void pancake_sort(int array[], const int length) {
for (int curr_size length; curr_size > 1; --curr_size) {
int max_index find_max(array, curr_size);
if (max_index != curr_size-1) {
}
flip(array, max_index);
flip(array, curr_size-1);

Show the array [2, 4, 1, 5. 31 after the for loop in pancake_sort executes once.
What is the best-case complexity of the pancake_sort algorithm above including helper functions?
What is the worst-case complexity of the pancake_sort algorithm above including helper functions?
Which of the elementary sorting algorithms discussed in class is closest to (but not exactly the same
as) what Joe has written? Use the complexities to guide your response. Circle your answer
bubble / selection / insertion

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Very confused about this problem. Any help is appercaited
Q3. Prove that the problem of finding an element in an array having n element has a lower bound of 2(log n). You can use a technique similar to what we have done in class for proving the lower bound for sorting algorithms.
Please very fast answer
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Be quick. Plzzzzzzz asap