$1.$ Evaluate the effectiveness of the coordinator$-$based mutual exclusion solution in systems with high network latency. What challenges arise, and what improvements could be introduced to enhance its performance?

$2.$ Critique the scalability of token$-$based mutual exclusion algorithms in large distributed systems with thousands of nodes. How does the token circulation model handle scalability, and what optimizations could be implemented to improve it$?$

$3.$ Assess the role of mutual exclusion algorithms in ensuring data consistency in real$-$time distributed systems. Are current algorithms sufficient for real$-$time requirements, or are there alternatives that provide better performance?