$[5$ points$]$ For a particular binary classification task, your friend modifies the logistic regression loss function as follows.

$L=-log(a^y(1-a{)}^{(1-y)}),$

where $$ and $$ are coefficients set by your friend for a dataset in hand. What kind of a binary classification task might your friend be$.$ Keep your answer short to explain how your friend would have set the coefficients based on the dataset.