Write a computer program that produces the desired output from the given input. Input: The number of elements in a finite set SOutput: The number of derangements on S

Sorting Jojo was given a Math assignment by his teacher. Jojo's task is to sort a number of given then find the closest pair of numbers that has the maximum difference after sorted. Jojo was asked to write down a list of the pairs of numbers. Input FormatThe first line of input is an integer N i.e. the number of numbersThe second line is a series of numbers Ai as many as N Output FormatPairs of numbers separated by spaces Constraints2 ≤ N ≤ 105-107 ≤ Ai ≤ 107 Sample Input 52 -8 3 1 -10 Sample Output-8 1 Sample Input1045 9 3 -6 100 68 -57 23 -11 -25 Sample Output-57 -25 68 100 In the sample above if the input is sorted then:-10 -8 1 2 3 so that the difference between each number in sequence is 2, 9, 1, 1-57 -25 -11 -6 3 9 23 45 68 100 so the difference is 32, 14, 5, 9, 6, 14, 22, 23, 32 NotesEven though it wasn't stated in the problem, by now you should know that the advantages spaces or lines are considered WRONG ANSWER.

Using loops of any kind, lists, sets, def, etc NOT allowed Angela loves reading books. She recently started reading an AI generated series called “Harry Trotter”. Angela is collecting books from the series at her nearest bookstore. Since the series is AI generated, the publishers have produced an infinite collection of the books where each book is identified by a unique integer. The bookstore has exactly one copy of each book. Angela wants to buy the books in the range [l,r], where l ≤ r. As an example, the range [−3,3] means that Angela wants to buy the books  − 3,  − 2,  − 1, 0, 1, 2, and 3. Dan also loves the series (or maybe annoying Angela – who knows, really), and he manages to sneak into the bookstore very early to buy all of the books in the range [d,u], where d ≤ u. When Angela later visits, sadly she will not find those books there anymore. For example, if Angela tries to buy books [−2,3] and Dan has bought books [0,2], Angela would only receive books  − 2,  − 1, and 3. The…

There is more than one way to calculate the value of T. One way that this can be done is by generating random numbers. This works by recognizing that if you take a unit square that you can draw a quarter circle of unit radius inside the square. The area of the quarter circle is exactly π/4 and the area of the square is 1. So if you randomly generate a pair of uniform numbers between 0 and 1 they will be distributed uniformly across the square. If you count the total number of points generated and the number of points (x, y) where x² + y² = ² < 1 then the ratio of those two numbers will tend towards the ratios of the areas of the square and the circle as the number of points generated increases. The ratio of the areas is just π/4 so if you take that ratio and multiply it by 4 you get an estimate for . a) b Write code to estimate π using this method. You can generate random numbers in the range 0