KöMaL 2024 C1824

Next year, Boglárka wants to read ten different books; the thicker the book, the longer she plans to spend on it. She has decided to dedicate 5, 10, 15, ..., 45, and 50 days to reading each of the books. The remaining period of time will be divided into three equal parts, which she will use for active rest. She can use these rest periods for sports at any time during the year (even several of them consecutively). If she has to read two books without inserting a rest period in between, she will always start with the thicker one. In how many different ways can Boglárka allocate the $365$ days for reading the books?