Write an MPI program that does the following:

a$.$ Creates five communication groups with $6$ processes in each group.

b$.$ Have the global root process generate $10000$ integers between $0$ and $10000.$

The root process should then divide the integers into five groups and sends

each of the groups of numbers to a single root process in each group

$($remember the root process is also part of a group$).$

c$.$ Have the receiving root process in each group divide the integers among it

and the other processes in the group.

d$.$ Have the processes in each group compute partial sums which should be

gathered to the group root process that initially received the integers from the

global root process.

e$.$ Have the receiving group root process compute another partial sum from the

partial sums it received from its group.

f$.$ The partial sums should then in turn be gathered to the global root process

and the root process should compute the final sum and display it$.$

the programming language must be c$++$ and please make sure that the code is able to use $30$ processes

N$.$B i will use visual studio as an IDE the run the code using command prompt

command line mpiexec $-$n $30...$