Keith wrote, regarding Puzzle 107:
> Edit: Are we also counting \\(1_z\\)?
Of course! Identity morphisms are perfectly respectable morphisms just like any other. (Once mathematicians argued about whether 0 was a number, but we decided it was.)
So I think you're saying the answer to Puzzle 107 is "four". That's right, and that's why it has something to do with this picture: