Quicksort reaches the worst-case time complexity when:Partition is not implemented in place
Picking the largest one of input or partitioned data as pivot value
Median of input or partitioned data is expensive to calculate
Data is sorted already and always pick the median as pivot
Choose the incorrect statement:
When the median is always picked as pivot in input/partitioned data, then quicksort achieves the best-case time complexity.
Mergesort has O(N(log(N)) time complexity for its worst case, average case and best case
Insertionsort reaches its best-case time complexity O(N log(N)) when the input data is pre-sorted
Quicksort is practically fast and frequently used sorting algorithm.
Choose the incorrect statement:
In the lower bound analysis by using decision tree, each branch uses one comparison to narrow down possible cases
In the lower bound analysis by using decision tree, he number of required comparisons can be represented by height of decision tree
A decision tree to sort N elements must have N^2 leaves
O(N log(N)) lower bound means that comparison-based algorithm cannot achieve a time complexity better than O(N log(N))
Choose the incorrect statement regarding time complexity of union-find operation:
Inverse Ackermann function does not depend on N and is a constant factor.
When we use arbitrary union and simple find for union-find operation, the worst-case time complexity is O(MN) for a sequence of M operations and N elements
Union-by-size and Union-by-rank both improve the time complexity to O(M log(N)) for a sequence of M operations and N elements
To finish the entire equivalence class computation algorithm, we need to go over each pair of elements, so if we use union-by-rank with path compression for find operation, then the overall time complexity is O(N^2 log*N), where log*N denotes the inverse Ackermann function.
Choose the incorrect statement regarding Dijstraâs algorithm
Dijstraâs algorithm is a greedy algorithm
Dijstraâs algorithm requires to dynamically update distance/costs/weights of paths.
To begin with, Dijstraâs algorithm initializes all distance as INF
Dijstraâs algorithm can be implemented by heaps, leading to O(|E|+|V| log(|V|)) time complexity, where, particularly, log(|V|) is due to "insert" operation in heaps.

Answers

Answer 1
Answer:

i) Picking the largest one of input or partitioned data as pivot value.

ii) Insertion sort reaches its best-case time complexity O(N log(N)) when the input data is pre-sorted

iii) A decision tree to sort N elements must have N^2 leaves

iv) Inverse Ackermann function does not depend on N and is a constant factor.

v) Dijstraâs algorithm requires to dynamically update distance/costs/weights of paths.

What is quicksort?

  • Quicksort is an efficient sorting algorithm used to sort items in an array. It is an in-place algorithm, meaning it does not require any additional memory for sorting.
  • The algorithm works by choosing a pivot element from the array and partitioning the array based on the pivot.
  • All elements that are less than the pivot are placed before it, and all elements that are greater than the pivot are placed after it. This is repeated until the array is completely sorted.
  • Quicksort is considered one of the fastest sorting algorithms and is used in many applications, such as sorting data in databases.
  • It is also used in many programming languages, including C, Java, and Python.
  • Quicksort is an example of a divide-and-conquer algorithm, as it splits the array into smaller pieces which are easier to sort.

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Related Questions

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What does I/O mean in computing​
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How does abstraction help us write programs

Answers

Answer:

Abstraction refines concepts to their core values, stripping away ideas to the fundamentals of the abstract idea. It leaves the common details of an idea. Abstractions make it easier to understand code because it concentrates on core features/actions and not on the small details.

This is only to be used for studying purposes.

Hope it helps!

Briefly explain 5 software which is either free or fee​

Answers

Answer:

65

Explanation:

Answer:

65

Explanation:

What is the function of control unit? in computer.

Answers

regulates and integrates the operations of the computer. It selects and retrieves instructions from the main memory in proper sequence and interprets them

Before a structure can be used, it must beA.
declared

B.
deallocated

C.
initialized

D.
All of the above

Answers

Answer:

A. declared

Explanation:

Before a structure can be used, it must be  declared.

For example:

// Structure definition

struct s{

int a;

char b;

};

// Structure instantiation

struct s  mystruct;

// This is where a structure instance called mystruct is created whose

// datatype is struct s.

mystruct.a = 10;

mystruct.b = 'c';

As we can see from the example definition precedes use for the structure.

Broker Ray is closely acquainted with the Subdivision Heights neighborhood of his town. Over the year, Ray has made it a practice to contact homeowners in person and also to send them quarterly mailings. This method of finding listings is known as:

Answers

No multiple choice?

Write a program that reads an integer and displays, using asterisks a filled and hollow square, placed next to each other. for example if side length is 5 the program should display like so.This program prints a filled and hollow square.
Enter the length of a side: 5
***** *****
***** * *
***** * *
***** * *
***** *****

Answers

Answer:

Here is the JAVA program.

import java.util.Scanner; //Scanner class to take input from user

 public class HollowFilledSquare {

          public static void main(String[] args) { //start of main() function body

    Scanner sc= new Scanner(System.in); // Scanner class object

          System.out.print("Enter an integer to display a filled and hollow square "); //prompts user to enter an integer

           int n = sc.nextInt(); // reads integer input from the user

          StringBuilder filled = new StringBuilder(n);

// creates objects filled and hollow of class StringBuilder

          StringBuilder hollow = new StringBuilder(n);

          for (int i = 1; i <= n; i++) { // outer loop for length of the square

              for (int j = 1; j <= n; j++) { // inner loop for width of square

                  filled.append("*"); //displays asterisks

                    if (i == 1 || i == n || j == 1 || j == n) // condition to display stars

                       {hollow.append("*");}

                   else

                     {  hollow.append(" ");  }             } // to display empty spaces

           System.out.println(filled + "   " + hollow);

// places hollow and filled squares next to each other

           filled. delete(0, filled.length());  

//removes characters from 0 to the length of filled square

           hollow. delete(0, hollow.length());      

//removes characters from 0 to the length of hollow square } }  }

Explanation:

The program first prompts the user to enter an integer. It uses outer loop for length of the square and inner loop for width of square in order to display the asterisks. append () function is used to display the sequence of asterisks. delete () function removes the  asterisks from the sequence of asterisks. String Builder is a class used for to create a string of n characters. It basically works like String but this is used to create modifiable objects.

The screen shot of the code along with the output is attached.

Final answer:

A Python program can be written to read an integer that is then used to print out two squares of that side length with asterisks, one filled and one hollow. The provided Python code uses nested loops and conditionals to generate the squares accurately.

Explanation:

To complete your request, we would need to write a program to read an integer input and utilize this integer value to generate two squares with asterisks, one filled and one hollow. Here is a simple Python program:

def print_squares(n):
# Full square
for i in range(n):
 for j in range(n):
  print('*', end=' ')
 print()

# New line between squares
print()

# Hollow square
for i in range(n):
 for j in range(n):
  if i==0 or i==n-1 or j==0 or j==n-1:
   print('*', end=' ')
  else:
   print(' ', end=' ')
 print()

# Run the function
print_squares(int(input('Enter the length of a side: ')))

This program first prints a filled square and a hollow square using conditionals to distinguish between the edge and inner positions of the squares.

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