Array P $=[40,25,30,10,330,10]$Suppose the dimension of $6$ matrices $($A$1,$ A$2$ A$5)$ are given by array PA$1$ is a P$[0]$ x P$[1]$ matrix A$2$ is a P$[1]$ x P$[2]$ matrix $...$A$5$ is a P$[4]$ x P$[5]$ a$)$ Find the minimum number of scalar multiplications necessary to calculate the product of all the $6$ matrices $($A$1.$A$2.$A$3.$A$4.$A$5)$ and show the parenthesization for this multiplication. Solve the problem manually $($you need not to write any code$)$ using bottom$-$up tabulation approach. Compute and show the m matrix and s matrix to solve your problem.