Two identical uncharged capacitors, each of capacitance \(C\), are connected in series with a resistor of resistance \(R\) and an ideal battery of potential difference \(\Delta V_0\). The time required for the total electrostatic energy stored in the capacitor system to reach 50% of its maximum possible final value is \(t_{\text{series}}\). The circuit is then reconfigured so that the same two capacitors are connected in parallel with each other and in series with the same resistor and battery. The time required for the parallel system to reach 50% of its maximum possible final value is \(t_{\text{parallel}}\). What is the ratio \(\dfrac{t_{\text{parallel}}}{t_{\text{series}}}\)?