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a. Construct a secret sharing scheme for three parties: P1, P2 and P3, such that any pair of them can reconstruct the secret, but any

a. Construct a secret sharing scheme for three parties: P1, P2 and P3, such that any pair of them can reconstruct the secret, but any single party has no information about the secret. (Specifically, the secret can be reconstructed by P1 and P2, or by P2 and P3, or by P1 and P3.) b. Informally argue the privacy and reconstruction properties for the proposed scheme.

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