Answer
Just after closing the switch $S$, there will be more current through the central resistor.
Work Step by Step
Just after the closing of switch $S$, current begins to flow through the circuit. This changing current through the inductor produces an emf in the opposite direction to the current flow. As time passes, the current through the inductor's branch of the circuit will increase exponentially to the equilibrium point where the current is equal in both branches of the circuit.
Therefore, just after closing the switch $S$, there will be more current through the central resistor.
