If you're the type that likes thinking about solutions and checking if they work, then I have a riddle for you.
Recently I was playing with signatures to get a feel of what happens when you change their definition. Here's an example of a possible signature along with some claims about it.
I hope you find it at least half as fun as I have in telling whether it works or not.
Riddle: https://gist.github.com/phyro/c8213747fcf288ff64ed97f4dc1f2192
Those of you who are more experienced with this will find it easy to prove it correct/incorrect.
If this isn't the type of a post the moderators would like to see here, then I apologize and you can close/remove it.
Cheers
P.S. If it is possible to embed markdown in this post let me know and I'll edit it.