Lightweight clients: Suppose Bob runs an ultra-lightweightclient which receives the current head of the block chain from atrusted source. This client
has very limited memory and so it only permanently stores the mostrecent block chain header (deleting any previous headers).
a. If Alice wants to send a payment to Bob, what informationshould she include to prove that her payment to Bob has beenincluded in the block
chain?
b. Assume Alice’s payment was included in a block k blocks beforethe current head and there are n transactions per block. Estimatehow
many bytes this proof will require in terms of n and k and computethe proof size
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