The Euclidean Algorithm can be used to find the highest common divisor. Can you please explain with examples what the Extended Euclidean Algorithm is and how to use it.

A simple sorting algorithm has quadratic ?(?2) performance. It takes three minutes to sort a list of 50,000 entries. How long do you expect it to take to sort a list of 100 entries? How did you arrive at your answer?

Find the greatest common divisor (GCD) of 36 and 54 using the Euclidean algorithm. Show your work.

Given a sorted array of N+2 integers between 0 and N with exactly one duplicate, design a logarithmic time algorithm to find the duplicate. Note: you don't need to write a code. Just use your English words to describe the algorithm

I have to use the Binary Search Algorithm to determine whether the number 17 appears in the sequence s : 3, 6, 7, 8, 15, 17, 19, 23, 24. Can someone give a step by step description of what the algorithm does in this case.

Please do the following questions with the full python coding and explanation below each question typed

Assume you are playing a card game using a standard 52-card deck. You are dealt a hand of cards that are all the same suit, spades. You are dealt first a 5, then a 3, then 8, and finally 4. You first took the 5 into your hand. Then you put the three before the 5. Next you put the 8 behind the 5. Finally, you put the 4 between the 3 and 5. Which sorting algorithm is most similar to how you sorted your hand? Group of answer choices 1. Quick Sort 2. Insertion Sort 3. Merge Sort 4. Selection Sort

If the numbers in our list were not unique and therefore the largest number could occur more than once, would the algorithm find the first occurrence?

If the numbers in our list were not unique and therefore the largest number could occur more than once, would the algorithm find each occurrence?

Write pseudocode for a divide-and-conquer algorithm for finding the position of the largest element in an array of n numbers.