Consider the following local events and communications between processes P0, P1, P2. Assume that in the Lamport logical clock and the vector clock both sending and receiving messages increment a corresponding logical clock by 1. Assume that the initial clock value at each process is zero. Answer the questions below. PO A 9 Time a. Determine the Lamport logical time stamps for all the events (3pts) b. Determine the vector clocks for all the events. Note that vector clocks cannot enforce a total order of events, thereby allowing the existence of concurrent events. Which event(s) are concurrent with event ? (4pts) c. Compared to Lamport's logical clock, explain how vector clocks can be used to capture causality between events. (HINT: under what condition we can say an event happened before another?) To enforce causal communication, discuss what additional requirements are needed in the update of vector clocks and the delivery of events? (3pts)