I want unique answer Apply the DP based MCM algorithm to determine optimal parenthesization among the following matrices: A17 x 1 A21 x 5 A35 x 4 A44 x 2
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I want unique answer
Apply the DP based MCM
- A17 x 1
- A21 x 5
- A35 x 4
- A44 x 2
Step by step
Solved in 3 steps
- Apply the DP based MCM algorithm to determine optimal parenthesization among the following matrices: A17 x 1 A21 x 5 A35 x 4 A44 x 2Please find an optimal parenthesization of a matrix chain product whose sequence of dimensions is <10, 5, 10, 4, 8>. Please show your works. Also, explain the computational complexity and real cost of calculating the matrix chain product.Consider the matrices are given the sequence {4, 10, 3, 12, 20, and 7} values of dimension array p in matrix chain multiplication, then optimal value of MCM matrix M [2, 4] when indices are starting from 1 not 0 A- M [2, 4] = 1320 B- M [2, 4] = 2760 C- M [2, 4] = 1080 D- M [2, 4] = 1344
- Answer the given question with a proper explanation and step-by-step solution and don't copy past from online source. Find an optimal parenthesization and the minimum number of scalar multiplications needed for a matrix-chain product whose sequence of dimensions is (5,10,3,12,5,50. Show all the steps used to arrive at the solution.Find the optimal order, and its cost, for evaluating the product A1×A2×A3×A4 where: A1 is (5×2),A2 is (2×3),A3 is (3×4),A4 is (4×6) Show the values of M (used for optimization) and P (used for storing the path) matrices, produced by the algorithm.Given an m × n binary matrix consisting of 0’s and 1’s, find the maximum size square sub-matrix consisting of only 1’s. Precisely define the subproblem.Provide the recurrence equation.Describe the algorithm in pseudocode to compute the optimal value.Describe the algorithm in pseudocode to print out an optimal solution.
- Find the Optimal order, and its cost, tor evaluating the product A1, x A2 x A3 x A4 where A1, is (5X2), A2, is (2x3), A3 is (3x4), A4 is (4X6) Show the values of M (used for optimization) and p (used for storing the path) matrices, produced by the algorithmThe matrix chain order P=(PO,P1, P2 P3 P4, PS) (5,10,3,12,5,50) the objective is to find minimum number of scalar multiplications required to multiply the 5 matrices and also find the optimal sequence of multiplications.Consider another case in which a = 6,286, Xo = 4,985, C = 3,079 and M = 487.i). using the linear congruential method, determine the first 10 random numbers.ii). How robust is this algorithm?
- Given a matrix of dimension m*n where each cell in the matrix can have values 0, 1 or 2 which has the following meaning: 0: Empty cell 1: Cells have fresh oranges 2: Cells have rotten oranges So we have to determine what is the minimum time required so that all the oranges become rotten. A rotten orange at index [i,j] can rot other fresh orange at indexes [i-1,j], [i+1,j], [i,j-1], [i,j+1] (up, down, left and right). If it is impossible to rot every orange then simply return -1. Examples: Input: arr[][C] = { {2, 1, 0, 2, 1}, {1, 0, 1, 2, 1}, {1, 0, 0, 2, 1}}; Output: All oranges cannot be rotten. Below is algorithm. 1) Create an empty Q. 2) Find all rotten oranges and enqueue them to Q. Also enqueue a delimiter to indicate beginning of next time frame. 3) While Q is not empty do following 3.a) While delimiter in Q is not reached (i) Dequeue an orange from queue, rot all adjacent oranges. While rotting the adjacents, make sure that time frame is incremented only once. And time frame is…Develop a simulated annealing procedure in either R or Python to solve the following knapsack problem: (Note, this problem can be solved to optimality using integer programming; however, the focus of this question is on developing the simulated annealing method). Maximize: 12x1 + 16x2 + 22x3 + 8x4 S.T. 4x1 + 5x2 + 7x3 + 3x4 ≤ 14 xi ~ binary for all iConsider the chain of matrices below. M = M1 x M2 x M3 x M4 [15 x 5] [5 x 25] [25 x 30] [30 x 45] (a) Show the complete table used by the dynamic programming algorithm for the matrix chain problem.