Alice shuffles a deck of cards and deals

it all out to herself and Bob $($each of them gets half of the $52$ cards$).$ Alice now wishes to send a

secret message M to Bob by saying something aloud. Eavesdropper Eve is listening in: she hears

everything Alice says $($but Eve can$$t see the cards$).$

Part A$.$ Suppose Alice$$s message M is a string of $48-$bits. Describe how Alice can communicate M

to Bob in such a way that Eve will have no information about what is M $.$

Part B$.$ Now suppose Alice$$s message M is $49$ bits. Prove that there exists no protocol which allows

Alice to communicate M to Bob in such a way that Eve will have no information about M