Question: Given two constructions of message authentication codes pi _ ( 1 ) : = ( ( KeyGen ) _ ( 1 ) , (

Given two constructions of message authentication codes \pi _(1):=((KeyGen)_(1),(Tag)_(1),(Verify)_(1)),\pi _(2):=((KeyGen)_(2),(Tag)_(2),(Verify)_(2)). Construct a secure MAC scheme \pi _(3):=((KeyGen)_(3),(Tag)_(3),(Dec)_(3)) which will be secure (unforgeable) as long as one of \pi _(1),\pi _(2) is unforgeable (but you dont know which one), and briefly explain why.

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