In this problem, we will construct a digital envelop from a PRG$,$ which allows a possibly malicious party to $$lock$$ an input in a $$envelope$($that reveals nothing about their input$),$ such that they can later open the envelope for the receiver to show that it contained their input $($and it is infeasible to open to a different value$).$

We will consider constructing digital envelopes for single bit messages that utilize a public random string $($known to all parties$).$