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Consider a ring of size n nodes and each edge of length 1. Assume that two mobile agents each with a tolen (the tokens are

Consider a ring of size n nodes and each edge of length 1. Assume that

two mobile agents each with a tolen (the tokens are identical); they start at

distance d from each other and can change speeds from 1 node per unit time

to 2 nodes per unit time.

1. leave token at starting node;

2. choose CCW direction and walk;

3. repeat until rendezvous;

(a) 1st time you meet token change speed to 2;

(b) 2nd time you meet token change speed to 1;

Now answer the following questions:

1. What condition between d; n ensures rendezvous?

2. How long does it take to rendezvous as a function of d,n?

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