Swine in a Line

I’m eager to get people’s responses to my first Barefoot Math video series, discussing the Swine-in-a-Line game (also the topic of my July 2017 Mathematical Enchantments essay). I state the puzzle in part 1, I give a few hints in part 2 , the solution is given in part 3, and tips for how one could find the solution (without knowing it ahead of time the way I did!) are given in part 4. I explain the solution to the “one left, one out” variant in part 5 and explain the connection with James Tanton’s “Exploding Dots”.