Consider below Figure that shows three processes $($P$1,$ P$2,$ P$3$and messages communicating between them. Assume that initial logical clock values are all initialized to $0.$

a$.$ List the Lamport Logical timestamps for each event shown in Figure. Assume that each process maintains a logical clock as a single integer value as a Lamport clock. Provide timestamps for each labeled event.

b$.$ determine all the events that happen before event e$23$