Suppose that two n x n matrices A and B are stored on a mesh of n2 processors such that Pi;j holds A[i; j] and B[j; i]. Write pseudocode for an asynchronous algorithm that computes the product of A and B in O(n).
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Suppose that two n x n matrices A and B are stored on a mesh of n2 processors such that Pi;j holds A[i; j] and B[j; i]. Write pseudocode for an asynchronous
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- ) Consider an n x n array ARR stored in memory consisting of 0’s and 1’s such that, in a row of ARR, all 0’s comes before any of 1’s in the row. Write an algorithm having complexity O(n), if exists, that finds the row that contains the most 0’s. Step by step explain r algorithm with an illustrative example. 6Given two arrays X and Y of positive integers, find the number of pairs such that xy > yx (raised to power of) where x is an element from X and y is an element from Y. Example 1: Input: M = 3, X[] = [2 1 6] N = 2, Y[] = [1 5]Output: 3Explanation: The pairs which follow xy > yx are as such: 21 > 12, 25 > 52 and 61 > 16 .Example 2: Input: M = 4, X[] = [2 3 4 5]N = 3, Y[] = [1 2 3]Output: 5Explanation: The pairs for the given input are 21 > 12 , 31 > 13 , 32 > 23 , 41 > 14 , 51 > 15 . Your Task:This is a function problem. You only need to complete the function countPairs() that takes X, Y, M, N as parameters and returns the total number of pairs. Expected Time Complexity: O((N + M)log(N)).Expected Auxiliary Space: O(1). Constraints:1 ≤ M, N ≤ 1051 ≤ X[i], Y[i] ≤ 103Write a JAVA program to add two matrix using pointers. JAVA program to input two matrix from user and find sum of both matrices using dynamic array.Example InputInput matrix1: 123456789Input matrix2: 987654321 OutputSum of both matrices:10 10 1010 10 1010 10 10
- Given two arrays A and B of equal size N, the task is to find if given arrays are equal or not. Two arrays are said to be equal if both of them contain same set of elements, arrangements (or permutation) of elements may be different though.Note : If there are repetitions, then counts of repeated elements must also be same for two array to be equal. Example 1: Input: N = 5 A[] = {1,2,5,4,0} B[] = {2,4,5,0,1} Output: 1.Sparse matrix-vector multiplication in Python is similar to numpy.dot operation, however the provided @ operator is used. Let us consider multiplying a 5 by 5 sparse matrix with a 5 by 3 sparse matrix shown below. 01000 00010 10001 10000 01000 100 001 x 000 010 100 The Python code to implement multiplication of these two sparse matricesGiven an array arr[] and an integer K where K is smaller than size of array, the task is to find the Kth smallest element in the given array. It is given that all array elements are distinct. Note :- l and r denotes the starting and ending index of the array. Example 1: Input: N = 6 arr[] = 7 10 4 3 20 15 K = 3 Output : 7.
- In the following recursive function, A is the input array with size n. RANDOM(n) produces a uniformly random number between 1 and n. 1: function RECALG2(A, n) if n < 5 then return A[1] 2: for i + 1 to | yn] do A[i] <- A[i] – A[[i * /n]] s– A[1] k + RANDOM(n) if k < 2n/3 then s+ s+RECALG2(A,n) 3: 4: 5: 6: 7: 8: return s (a) Determine its worst case asymptotic time complexity. (b) Using probabilistic analysis, determine its average asymptotic time complexity.Given a binary array A[] of size N. The task is to arrange the array in increasing order. Note: The binary array contains only 0 and 1. Example 1: Input: 5 1 0 1 1 0 Output: 0 0 1 1 1 Explanation: After arranging the elements in increasing order, elements will be as 0 0 1 1 1.Java: Consider the following algorithm for searching in an unsorted array. If the size of the array is 1, then check if it contains the element to be searched. Otherwise, divide the array into two halves, and recursively search both halves. Which of (a)–(c) is false? The running time of this algorithm is O(N) The actual running time of this algorithm is likely to be better than sequential search. This is an example of a divide‐and‐conquer algorithm all of the above are true none of the above is true
- Describe an O(n) algorithm that does the following: Given an input array of n integers lying in the range 0 .. 3n - 1, the algorithm outputs the first integer that occurs in the array only once. (You may assume that each input array contains at least one number that has no duplicates in the array.) Explain why your algorithm has an O(n) running time. Example: If the input array is [1, 2, 4, 9, 3, 2, 1, 4, 5], then the return value is 9 since 9 is the first integer that occurs in the array only once. IImplement the Greedy Algorithm discussed for the problem below, inC++. Using C++, implement the given problem below. (Greedy Algorithm) Given an array of size n that has the following specifications:1.Each element in the array contains either a policeman or a thief.2.Each policeman can catch only one thief.3.A policeman cannot catch a thief who is more than K units away from the policeman. We need to find the maximum number of thieves that can be caught. Examples: Input arr[] = {'P', 'T', 'T', 'P', 'T'}, k = 1.Output: 2.Here maximum 2 thieves can be caught, first policeman catches first thief and second police- man can catch either second or third thief.Input = arr[] = {'T', 'T', 'P', 'P', 'T', 'P'}, k = 2.Output: 3.Input arr[] = {'P', 'T', 'P', 'T', 'T', 'P'}, k = 3.Output: 3. Copy the code. Show the algorithm use. Don't copy code from other sites.Convolution is associative if O xn)*[y(n)+h(n)]=[x(n)+y[n]*h(n) O x(n)*[yln)*h(n]]=[x(n)*y[n]*h(n) x[n)+[y{n)*h(n)]=[x{n)*y{n)]+h(n) O x(n)+[y[n)+h(n)]=[x(n}+y(n)]+h(n)