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Question on Taxes Owed (Fed) vs Refund (State)

I owe the Fed x-amount of money, but am getting over half that number refunded in State.  


Before you blast me, I KNOW Federal and State are separate entities, but this relates to filing in general overall:


Will I, A- end up paying the FULL x-amount to Fed up front and wait for State to deposit or will I, B- end up paying only the balance up front, if the Fed takes my State return?