Use the content of the transmitted bits so as to reduce the time costs of the communicator described in Section 6.2.1. Show how a time cost of at most (k 1)(I/4) 1 k1 + k clock ticks can be achieved.

Prove that communicator Orderk uses f (I,k) + k + 1 time to communicate I , where f (I,k) is the smallest integer t such that I t + k k .