Blue Ltd$.$ reported net income of $$789140$ in $2023$ and had $310000$ common shares outstanding throughout the year. Also, outstanding all year were $64000($written$)$ options to purchase common shares at $$12$ per share. The average market price for the common shares during the year was $$16$ per share. Calculate the diluted earnings per share $($round to $2$ decimal places$).$

Select answer from the options below

$$2\mathrm{.}55$

$$2\mathrm{.}82$

$$2\mathrm{.}42$

$$2\mathrm{.}11$