Rosita wrote in a notebook the dates (day and month) of $k$ consecutive days and stored this notebook in a box. After a few years, Rosita found her notebook, but sadly the months she wrote were unreadable. Rosita wants to know all possible months of the last date she wrote in the notebook.
Print the number of possible months of the last date Rosita wrote in her notebook. In the next lines print the possible months, one per line, in calendar order.