RC Charging

Medium#engineering #electronics #math· solved by 0 · time limit 2.0 s

A capacitor $C$ charges from 0 V through resistor $R$ from a supply $V$ . The time constant is $\tau = RC$ and $v_C(t) = V\left(1 - e^{-t/\tau}\right)$ . Print $\tau$ in milliseconds and $v_C$ at time $t$ , both with 3 decimals.

Input

$R$ (Ω), $C$ (µF), $V$ (volts), $t$ (seconds).

Output

$\tau$ in ms and $v_C(t)$ .

Constraints

All values positive; $t \ge 0$ ; $R \cdot C \ge 10^{-6}$ s.

Sample 1

Input

10000 100 5 1

Output

1000.000 3.161

Sample 2

Input

1000 10 12 0.05

Output

10.000 11.919