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NOTE: This is a multi$-$part question. Once an answer is submitted, you will be unable to return to this part.

Let p$,$ q$,$ r be the propositions:

p: The user enters a valid password.

q: Access is granted.

r: The user has paid the subscription fee.

Express the following system specifications using the propositions p$,$ q$,$ and r and logical connectives $($including negations$).$

If the user has not entered a valid password but has paid the subscription fee, then access is granted.