Please complete the diagram below$($show sketch$)$ using a$.$ FIFO Ordering Multicast and b$.$ Casual Ordering Multicast : $[30$ points$]$ The space$-$time diagram below shows three processes $P1,P2,$ and $P3$ sending messages

A$,$ B$,$ C$,$ and D to each other using multicast. To simplify the picture, messages sent by each process

to itself are not shown but assume that such messages are received and delivered instantaneously.

a$.[15$ points$]$ Suppose that the processes use FIFO Ordering Multicast. Annotate the diagram

with the sequence vectors of the processes and the values piggy$-$backed with the messages for

each send$/$receive event. In addition, indicate the messages that are buffered and$/$or delivered

after each receive event. Your solution should follow the notation used in Lecture $9-$

Multicast, page $17($FIFO Multicast Illustration$).$

b$.[15$ points$]$ Suppose that the processes use Casual Ordering Multicast. Annotate the diagram

with the vector timestamps of the processes and the vector timestamps piggy$-$backed with the

messages for each send$/$receive event. In addition, indicate the messages that are buffered

and$/$or delivered after each receive event. Your solution should follow the notation used in

Lecture $9-$ Multicast, page $19($Casual Ordering Multicast Illustration$).$

Note: A larger version of the above diagram is attached to the end of this document. You can

use that diagram to hand in your solutions for a and $b$ above.