A problem H comprises two subproblems, Ill and H$2,$ which are solved by programs

and P$2,$ respectively. The program p$1$ would run $1000$s on the computer C$1$ and $2000$s on the computer C$2,$ while P$2$ would require $2000$s and $3000$s on C$1$ and C$2,$ respectively. The computers are connected by a $1000-$km long optical fiber link capable of transferring data at $100$ MB$/$sec with $10$ msec latency. The programs can execute concurrently but must transfer either $($a$)10$ MB of data $20,000$ times or $($b$)1$ MB of data twice during the execution. What are the best configurations and approximate runtimes in cases $($a$)$ and $($b$)?$