2. Modify the algorithm in Figure 14.3 to design an early-stopping algorithm for consensus under failstop failures, that terminates within f′ + 1 rounds, where f′, the actual number of stop-failures, is less than

f. Prove the correctness of your algorithm.

Hint: A process can be required to send a mesage in each round, even if the value was sent in the earlier round. Processes should also track the other processes that failed, which is detectable by identifying the processes from which no message was received.