8. In question 2, let $v_{0}>v_{1}>1$; and set $c_{0}=1, c_{1}=2$ and
$$c_{j+1}=2 c_{j}+c_{j-1}, \quad j=1,2, \cdots$$

Then, we have $v_{1} \geqslant c_{h}$. Furthermore, prove:
(i) $h \leqslant\left(\ln v_{1}\right) / \ln 2$;
(ii) When $v_{1} \geqslant 32$, $h+1 \leqslant(\ln v) / \ln 2$.