Exercise 1 Write a function called nested_sum that takes a list of lists of integers and adds up the elements from all of the nested lists. For example: >>> t = [[1, 2], [3], [4, 5, 6]] >>> nested_sum(t) 21
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![Exercise 1
Write a function called nested_sum that takes a list of lists of integers and adds up the
elements from all of the nested lists. For example:
>>> t = [[1, 2], [3], [4, 5, 6]]
>>> nested_sum(t)
21](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc6389447-1237-4af0-b5c6-eb1260425b55%2Fcb429302-3203-4fb4-b1a4-8dc63cc07df2%2Fxrpsmzb_processed.png&w=3840&q=75)
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- Matrix Multiplication by a Scalar Please write a function calculate (matrix, scalar) that takes two arguments: a nested list that represents a matrix and an integer that represents a scalar. The function returns a nested list that corresponds to the result of matrix multiplication by a scalar. Your function should work with the following code: if __name__ == '__main__': scalar 3 A = [[1,0,0], [0,1,0], [0,0,1]] D calculate (A, scalar) assert D == [[3,0,0], [0,3,0], [0,0,3]] Save your function and the main code in a file called matrix.py and upload it here.Exercise, maxCylinderVolume F# system function such as min or methods in the list module such as List.map are not allowed Write a function maxCylinderVolume that takes a list of floating-point tuples that represent dimensions of a cylinder and returns the volume of the cylinder that has the largest volume. Each tuple has two floating point values that are both greater than zero. The first value is the radius r and the second value is the height h. The volume of the cylinder is computed using ??2h. The value π is represented in F# with System.Math.PI. If the list is empty, return 0.0. Examples: > maxCylinderVolume [(2.1, 3.4); (4.7, 2.8); (0.9, 6.1); (3.2, 5.4)];;val it : float = 194.3137888> maxCylinderVolume [(0.33, 0.66)];;val it : float = 0.2257988304def cartesianproduct(lst): """Takes a list of sets/frozensets and computes their Cartesian product""" cartesianproduct: This function should accept a list of one or more sets or frozensets (you can convert between them using set(fro_st) and frozenset(st)). Its output is a set or frozenset encoding the cartesian product; thus a list of two sets [{0,1}, {1,2}] could give back {(0,1),(0,2),(1,1),(1,2)}. In general, an input list of length N will yield a set of tuples of length N each.
- OCAML programming Pascal triangle Write a function val nextpascalrow : int list -> int list = <fun> that given a list of integers that correspond to a row of the pascal triangle, it calculates the next row of the pascal triangle. # nextpascalrow [1; 6; 15; 20; 15; 6; 1];;- : int list = [1; 7; 21; 35; 35; 21; 7; 1]Write a function that returns the greatest common divisor (GCD) of integers in a list. Use the following function header:def gcd(numbers):Write a test program that prompts the user to enter five numbers, invokes the function to find the GCD of these numbers, and displays the GCD.Count dominators def count_dominators(items): An element of items is said to be a dominator if every element to its right (not just the one element that is immediately to its right) is strictly smaller than it. By this definition, the last item of the list is automatically a dominator. This function should count how many elements in items are dominators, and return that count. For example, dominators of [42, 7, 12, 9, 13, 5] would be the elements 42, 13 and 5. Before starting to write code for this function, you should consult the parable of "Shlemiel the painter" and think how this seemingly silly tale from a simpler time relates to today's computational problems performed on lists, strings and other sequences. This problem will be the first of many that you will encounter during and after this course to illustrate the important principle of using only one loop to achieve in a tiny fraction of time the same end result that Shlemiel achieves with two nested loops. Your workload…
- Algorithm Efficiency 1- Programming Problem Part 1 Write a function that will have a list as an input, the task of the function is to check if all the elements in the list are unique,( i.e. no repetition of any value has occurred in the list), then the function returns true otherwise it returns false. Your program should include a main method that call the method to test it. (If you would use built-in functions in Python, use lists’ or dictionaries’ methods as we studied their time efficiency in class) 2- Algorithm AnalysisFor the function you implemented in part 1, please calculate T(n), which represents the running time of your algorithm in terms of n. Where n is the length of the list. Then find the order of magnitude of your algorithm (Big O). 3- Algorithms Comparison Please find another algorithm that solves part 1, write the code, calculate T(n) and find Big O. Then compare the efficiency with the algorithm from part1 to determine the more efficient one.16-Write a function called find_integer_with_most_divisors that receives a list of integers and returns the integer from the list with the most divisors .In the event of a tie, the first case with the most divisors returns .For example: If the list looks like this: [8, 12, 18, 6] In this list, the number 8 has four divisors, which are ;[1,2,4,8] :The number 12 has six divisors, which are ;[1,2,3,4,6,12] :The number 18 has six divisors, which are ;[1,2,3,6,9,18] :And the number 6 has four divisors, which are : [1,2,3,6]Note that both items 12 and 18 have the maximum number of divisors and are equal in number of divisors (both have 6 divisors) .Your function must return the first item with the maximum number of divisors ;Therefore it must return the following value: 121- Programming Problem Part 1 Write a function that will have a list as an input, the task of the function is to check if all the elements in the list are unique,( i.e. no repetition of any value has occurred in the list), then the function returns true otherwise it returns false. Your program should include a main method that call the method to test it. (If you would use built-in functions in Python, use lists’ or dictionaries’ methods as we studied their time efficiency in class)
- Create a soda beverage shopping cart program using C++ implementing the following: Linked List - this will be used as the user's cart. This is where the items that the user will purchased are stored here before checking them out. Array - use arrays to store user's stored products. Pointers Functions - Make sure that the rogram will have user-defined functions (e.g.: function for adding nodes, function for displaying the cart, etc.) The program must have a menu where the user can select an action (e.g. Select product, View cart, Check out, etc.) Soda options: Coca-Cola, Pepsi, Sprite, Royal, Mountain Dew Tabular Format: In the table, you must include the code for each soda options, their price and quantity The program must look like this: Hi! Welcome to ABC GoDrink! Here are the drinks that we offer: CODE PRODUCT SRP a Coca-Cola 24.99 b Pepsi 22.99 c Royal 24.99 d Sprite 24.99 e Mountain Dew 22.99 Menu Select a product. View My Cart and Proceed to Check-Out…please only c code dont use c++ and c#. Function write the arraylist_sort function and arraylist_remove_duplicates according to the given parameters. #include <stdio.h>#include <stdlib.h>#include <string.h> #define N 2000#define D 250 // A simple restaurant structuretypedef struct{char restaurant_name[15];double rating;char city[31];unsigned short opening_year;} RESTAURANT_t, *RESTAURANT; // Arraylist structuretypedef struct ArrayList_s{void **list;int size;int capacity;int delta_capacity;} ArrayList_t, *ArrayList; * Function: arraylist_sort* This generic function sorts an array list using the given compare function.*/void arraylist_sort(ArrayList l, int (*compare)(void *, void *)){// TODO: Fill this block./* NOTE: If you cannot write down a generic function which works for all types, write down a function which sorts resturants. If you cannot use function pointers, you can write down multiple functions which sort using different criteria.*/ } /*** Function:…Create a soda beverage shopping cart program using C++ implementing the following: Linked List - this will be used as the user's cart. This is where the items that the user will purchased are stored here before checking them out. Array - use arrays to store user's stored products. Pointers Functions - Make sure that the rogram will have user-defined functions (e.g.: function for adding nodes, function for displaying the cart, etc.) The program must have a menu where the user can select an action (e.g. Select product, View cart, Check out, etc.) Soda options: Coca-Cola, Pepsi, Sprite, Royal, Mountain Dew Must implement Developer name before the program exits. Please show the entire code and final output.