Mac's credit card statement included $$1266\mathrm{.}00$ in cash advances and $$117\mathrm{.}06$ in interest charges. The interest rate on the statement was $12\frac{1}{2}\%$ p$.$a$.$ For how many days was Mac charged interest?

The number of days required is

$($Round up the final answer to the nearest day as needed. Round all intermediate values to six decimal places as needed