My AI Roommate Is from 2187

The super AI of 2187 travels to the urban village of 2024. He could calculate the entropy increase of the universe and solve the black hole equation, but he was slowly taught the meaning of "reluctance" by a loser who couldn't even pay the rent with a steamed bun, an off-key song, and a fat cat named Daju. But she only has 365 days - on the 366th day, the system will completely erase her from him.