15. Consider the following code segment. def magic(li): for i in range(1,len(li)): j = i while j > 0 and li[j-1] > li[j]: temp = lifi] lij] = lifj-1] lifj-1] = temp j =j- 1 Which algorithm is depicted above? (a) Linear search (b) Binary search (c) Selection sort (d) Insertion sort
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- 20. Suppose a computer program has been initialized such that the following sets have been stored for use in any algorithm: A = {1, 2, 3, ..., 45}B = {-7, -6, -5, ..., 27} Consider the following algorithm, which represents one part of the whole computer program (comments may occur after the # symbol on any line and are not used in computations): #Part 1: computes A - B and its cardinality AminusB = set()for element in A: # this line runs through every element in A if not(element in B): #A - B is the set of elements that are in A and are not in B AminusB.add(element) # Add to AminusB every element in A if the element is also not in B n = len(AminusB) #len() returns the number of elements in the arrayprint(n) What value is printed as a result of executing this algorithm?The code of a sequential search function is shown on textbook page 60. In fact, if the list is already sorted, the search can halt when the target is less than a given element in the list. For example, given my_list = [2, 5, 7, 9, 14, 27], if the search target is 6, the search can halt when it reaches 7 because it is impossible for 6 to exist after 7. Define a function linearSearchSorted, which is used to search a sorted list. This function displays the position of the target item if found, or ‘Target not found’ otherwise. It also displays the elements it has visited. To test your function, search for these targets in the list [2, 5, 7, 9, 14, 27]: 2, 6, 14, 27 and 28.Create an ABM function that takes the following parameters: n := number of paths to be simulated m := number of discretization points per path S0 := initial starting point dS=μdt+σdW Program the function by using two nested "for loops" def ABM(n,m,S0,mu,sigma,dt): np.random.seed(999) arr = # create 2D zeros array with the correct dimensions arr[,] = #initialize column 0 # fill in array entries for i in : for j in : arr[i,j] = return arr
- 1a) write python code for creating a 10 x 20 table (2D list of lists) named t, initialized to all zeros. b) Define a python function that is passed a table (2D list of lists) of integers with the same number of rows and columns and return the transpose of the table. (Recall that the transpose of a table has the rows and columns exchanged.) c) Determaine the Big-O complexity of your function in part b). Explain / show your work1. Consider a problem of computing the prefix average of a sequence of numbers stored in an array P consisting of P integers. We want to compute an array P such that P is the average of P for P . Consider the two algorithms related to the above problem. Answer the questions given belowQ20. Suppose a computer program has been initialized such that the following sets have been stored for use in any algorithm: A = {1, 2, 3, ..., 45}B = {-7, -6, -5, ..., 27} Consider the following algorithm, which represents one part of the whole computer program (comments may occur after the # symbol on any line and are not used in computations): #Part 1: computes A - B and its cardinality AminusB = set()for element in A: # this line runs through every element in A if not(element in B): #A - B is the set of elements that are in A and are not in B AminusB.add(element) # Add to AminusB every element in A if the element is also not in B n = len(AminusB) #len() returns the number of elements in the arrayprint(n) What value is printed as a result of executing this algorithm Answer Q10A. Consider the following algorithm: g1 = 3 g2 = 6 for k > 2: gk = (k-1)·gk-1 - gk-2 What is term g6 of the…
- 1a) Briefly discuss the significant difference between a priority queue and an ordinary queue. Using an everyday example, explain how a priority queue is used an underlying data structure. b) Compare and contrast the linear search and binary search algorithms by searching for the numbers 45 and 84 in the following list: 3 8 12 34 54 84 91 110 1202.Consider a polynomial that can be represented as a node which will be of fixed size having 3 fields which represent the coefficient and exponent of a term plus a pointer to the next term or to 0 if it’s the last term in the polynomial. Then A = 11x4 -2x is represented by fig below A 11 4 -2 1 0 Represent the following polynomials in linked list form P = G – 3L +2FObserve the following two Sequential Search and Binary Search algorithms in the image. Perform a comparative analysis of the Sequential Search and Binary Search algorithms in terms of the number of basic operations executed by the two algorithms. A. Calculate and analyze the time complexity T(n) and the efficiency class of the two search algorithms in the worst case. B. Write an example case by writing down the elements for different data sizes, for example n=4, 8, ... Please specify the elements of table A and the data you are looking for, x. Write an illustration of the comparison process for every n to confirm the complexity of the algorithm in point a). C. Describe your opinion regarding the comparative analysis of the efficiency of the two algorithms! Please solve subparts A,B,C in 60 minutes ASAP can u get thank u
- Computer Science Given an N x N matrix M with binary entries i.e every entry is either 1 or 0. You are told that every row and every column is sorted in increasing order. You are required to output a pair (i,j) with 1 <= i and j <= n corresponding to the entry of the matrix satisfying Mij = 1 and Mrs = 0 for all 1 <= r <= i and 1 <= s <= j except for Mij Informally this includes the entry of M = 1 and is closest to the top left corner. for example: M = [ 0 0 0 1 0 0 1 1 0 0 1 1 0 0 1 1] output is (2,3) or (1,4) M = [ 0 1 1 1 1 1 1 1 1] output could be (1,2) or (2,1) Design a divide and conquer algorithm, explain correctness and runtime of the algorithm.How its gonna look like with recursion, not with vector #include <bits/stdc++.h>#define MAX 5using namespace std; // Function returns true if the// move taken is valid else// it will return false.bool isSafe(int row, int col, int m[][MAX],int n, bool visited[][MAX]){if (row == -1 || row == n || col == -1 ||col == n || visited[row][col]|| m[row][col] == 0)return false; return true;} // Function to print all the possible// paths from (0, 0) to (n-1, n-1).void printPathUtil(int row, int col, int m[][MAX],int n, string& path, vector<string>&possiblePaths, bool visited[][MAX]){// This will check the initial point// (i.e. (0, 0)) to start the paths.if (row == -1 || row == n || col == -1|| col == n || visited[row][col]|| m[row][col] == 0)return; // If reach the last cell (n-1, n-1)// then store the path and returnif (row == n - 1 && col == n - 1) {possiblePaths.push_back(path);return;} // Mark the cell as visitedvisited[row][col] = true; // Try for all the 4…2. (20) Arrange the following functions in increasing order of big O, i.e., a function in your list must be big O of the next function. Give all justifications. nyn, 23 log log n, (log n)2, 2(log n), Vn3.1,nlcos nl, nlog n 2n, 3", n! to0)