In this assignment, you will write both serial and parallel programs to calculate the Sum using the

following formula:

Sum $=4$

$(1)$

$$

$2+1$

$$

$=0$

You will write a serial C program $($Sum$\_$Serial.c$)$ to calculate the sum Sum and validate the

correctness of your serial implementation. You will modify the serial program into two parallel

programs, namely Sum$\_$MPI$\_$v$1.$c and Sum$\_$MPI$\_$v$2.$c$.$ In Sum$\_$MPI$\_$v$1.$c$,$ utilize only MPI pointto$-$point communication functions $($MPI$\_$Send and MPI$\_$Recv$)$ for message passing. In

Sum$\_$MPI$\_2.$c$,$ implement your parallel solution using collective communication functions.

Compile and execute these programs on magnolia HPC cluster to obtain the results. The user can

specify n when executing your programs.