>>14277280It's 14! + 13 = 87 178 291 213.
There are 14! orderings altogether, and you need to visit each of them once. To get to the first ordering, you need to watch 14 episodes. To get to the second ordering, you need to watch one more, and so on. Construct a graph, where the different orderings are nodes, and connect them if watching a new episode transforms the previous ordering to the new ordering. Then, you just need to find a Hamiltonian path in this graph, and that's the exact order you need to watch the episodes in.