Wonderful puzzle - that someone so materially disadvantaged can still snatch victory out of almost nothing! His opponent must have been shocked!

The daily puzzles are just great. They've taught me to keep my eye on the goal and to look much further ahead than I used to for the possibility of checkmate.

I believe that the king should move to g1 and then, after black takes white's knight, the black king should take the white queen. That would be a good trade right?- knight for a queen? I am a little confused about this.