(10pts) Let the four matrices have the following dimensions. A1:2 by 20, A2:20 by 4, A3: 4 by 5, A4: 5 by 15. Run the dynamic programming algorithm given in class to find the minimum number of additions and multiplications to calculate A1 A2 A3 A4. Write all the values of B(i, k). Also justify the last step: State why your final answer is correct in more than 3 and less than 15 lines, explaining your reasoning in English with formulas 1. Answers: Minimum number of operations to calculate A1 A2 A3 A4 : write your answer here.. Values of the calculation table: (write your answers below) B(1,0)- , B(2, 0)- , B(3, 0)= , B(4, 0)= , B(1, 3)= Justification for the final answer: (write your answer below)