A patient can't see objects closer than $35\mathrm{.}4$ cm and wishes to clearly see objects that are $20\mathrm{.}0$ cm from his eye.

$($a$)$ Is the patient nearsighted or farsighted?

nearsightedfarsighted$$

$($b$)$ If the eye$$lens distance is $1\mathrm{.}99$ cm$,$ what is the minimum object distance p from the lens? $($Give your answer to at least three significant digits.$)$