#$1.$ Ex$.12\mathrm{.}8\mathrm{.}1(!$Modified!$)$ Consider multiplying a chain of matrices with dimensions that are $83,310,105,56,$ and $612.$

Run a program to implement Algorithm $12\mathrm{.}3$ to build a table of $)=(0.\mathrm{.}4$

Take a screenshot of your program and the running result with the above instance.

Explain and verify how $N_{04}$ is calculated.