The voltage at the input of an $\text{AC-DC}$ rectifier is given by $v\left ( t \right ) = 230 \sqrt{2} \sin \omega t$ where $\omega = 2\pi \times 50$ rad/s. The input current drawn by the rectifier is given by $i\left ( t \right ) = 10 \:\sin \left ( \omega t-\frac{\pi }{3} \right ) + 4\;\sin\left ( 3\omega t-\frac{\pi }{6} \right ) + 3\sin \left ( 5\omega t - \frac{\pi }{3} \right )$.
The input power factor, (rounded off to two decimal places), is, _______________________ lag.