Lucy loves to play the Hop, Skip and Jump game. Given an N*M matrix and starting from cell (1,1), her challenge is to hop in an anti- clockwise direction and skip alternate cells. The goal is to find out the last cell she would hop onto. Write an algorithm to find the last cell Lucy would hop onto after moving anti-clockwise and skipping alternate cells. Input The first line of input consists of two integers- matrix row and matrix col, representing the number of rows (N) and the number of columns (M) in the matrix, respectively. The next M lines consist of N space-separated integers representing the elements in each cell of the matrix. Output Print an integer representing the last cell Lucy would hop onto after following the given instructions.
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- Write a program that inputs a matrix and displays the trans- pose of that matrix. A transpose of a matrix is obtained by converting all the rows of a given matrix into columns and vice versa.The goal of this problem is to walk from cell (0, 0) to cell (m, n) of a two-dimensional array. Each step must be either to the right or downward. So you can step from cell (1, 1) to cell (1, 2) or (2, 1). but not from (1, 1) to (0, 1) or (1,0). You are given a toll matrix, where each cell contains a toll that must be paid upon entry into that cell. The goal is to make it from cell (0, 0) to cell (m, n) while paying the smallest possible total toll. Does a greedy algorithm work? Think it out. Write a dynamic programming algorithm that finds the minimum possible total toll. It does not need to do reconstruction and say how to achieve that total toll.Consider an n by n matrix, where each of the n2 entries is a positive integer. If the entries in this matrix are unsorted, then determining whether a target number t appears in the matrix can only be done by searching through each of the n2 entries. Thus, any search algorithm has a running time of O(n²). However, suppose you know that this n by n matrix satisfies the following properties: • Integers in each row increase from left to right. • Integers in each column increase from top to bottom. An example of such a matrix is presented below, for n=5. 4 7 11 15 2 5 8 12 19 3 6 9 16 22 10 13 14 17 24 1 18 21 23 | 26 | 30 Here is a bold claim: if the n by n matrix satisfies these two properties, then there exists an O(n) algorithm to determine whether a target number t appears in this matrix. Determine whether this statement is TRUE or FALSE. If the statement is TRUE, describe your algorithm and explain why your algorithm runs in O(n) time. If the statement is FALSE, clearly explain why no…
- You are given a 2 by n grid, where the cell on row i column j contains a non-negative number ai,j . You can start at either cell in the lefttmost column, and your goal is to reach either cell in the rightmost column by a sequence of moves. You can move to an adjacent cell (if it exists) in each of the 4 cardinal directions (up,down, left and right). A path achieves a score equal to the sum of values in its cells. Note that a cell which is used twice in a path only counts its value once to the score of that path.Design an algorithm which runs in O(n) time and finds a path of minimum score from the leftmost column to the rightmost column.Write a Program to find the transpose of a given matrix and display its time complexity. by using javaCreate a 3-by-3 matrix. A = [1 7 3; 2 9 12; 5 22 7]; Calculate the right eigenvectors, V, the eigenvalues, D, and the left eigenvectors, W. [V,D,W] eig(A) %3!
- Compute the code that return the matrix M = AT A for a given matrix A - the superscript T denoted the transpose. I have started the code for you, which gets the dimension of the matrix, and creates the zero matrix of the correct size. I have also provided some of the loops involved. # perform and return the multiplication of $A TAS import numpy as np def multiply_At_A(A): # these lines set up the correct dimensions of the returned matrix. # the matrix A is of dimension dim1 x dim2 - # the matrix A^T (transpose of A) is dim2 x diml # the matrix (A^T A) is of dimension dim2 x dim2 dim1= A.shape [0] dim2 = A.shape [1] matrix = np.zeros( [dim2, dim2]) for i in range (dim2): for j in range (dim2): # complete the fi # YOUR CODE HERE return matrix loop to compute matrix [i,.Write a program to create a matrix A(5*5), then replace the diagonal with zeros. Add “break” or “continue” when it is suitable. used matlabWrite a Java Program to determine whether a given matrix is a sparse matrix A matrix is said to be sparse matrix if most of the elements of that matrix are 0. It implies that it contains very less non-zero elements.
- Q1. Design a generic matrix multiplier. Here ‘generic’ means the design should work for anymatrix multiplication X∙Y = Z, where the matrices X, Y, and Z are of sizes a×b, b×c, and a×crespectively. Now, pick a, b, c from the last three digits of your roll number. ( If any of the digitsis 0, take 3 instead of it; if two digits are 0s, then take 3 for the first 0, and 5 for the second 0)For Example, if the last three digits are 123 then a = 1, b = 2, and c = 3; if the last three digitsare 204 then a = 2, b = 3, c = 4; f the last three digits are 100 then a = 1, b = 3, c = 5.Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. You are given a parallel table of size n×m. This table comprises of images 0 and 1. You can make such activity: select 3 distinct cells that have a place with one 2×2 square and change the images in these cells (change 0 to 1 and 1 to 0). Your assignment is to make all images in the table equivalent to 0. You are permitted to make all things considered 3nm activities. You don't have to limit the number of activities. It tends to be demonstrated that it is consistently conceivable. Input The principal line contains a solitary integer t (1≤t≤5000) — the number of experiments. The following lines contain portrayals of experiments. The principal line of the depiction of each experiment contains two integers n, m (2≤n,m≤100). Every one of the following n lines contains a parallel line of length m, depicting the images of the following column of the table. It is…Write a function that diagonally orders numbers in a n x n matrix, depending on which of the four corners you originate from: upper-left ( u1 ), upper-right (ur), lower-left (11), lower-right (1r). Examples diagonalize(3, "ul") [0, 1, 2], [1, 2, 3], [2, 3, 4] (Ctrl) - [