Too easy. You just mix all 16 together, chuck them into the machine, take cover, then walk out through the now exploded door/hole.

Bonus points if you convince her to leave, and rig it up right above the door for when she comes back, home alone style.

Better yet, mix fifteen of the bottles together to do this, then pocket the other one. It's free wine!

Noted down for the next RPG campaign.

couldnt you link the devices together in parallel, call your captor into the room under pretense of solving the riddle, and then shock them with your cowboy stun gun?