A slightly modified game of mine, inspired by a suggestion by Fritz.

Clever. Sac the rook and the pawn promotes without any problem. The question would be whether the pawn army of White would/could be legitimately stopped. How would Fritz continue this sequence? I'm curious.

I don't really know the theory of Queen vs 4 pawns endgames, but Fritz evaluates the position as -4.90 and offers the following lines (see move list for variations):

So apparently, the idea is just to blockade the pawn advance with the queen, move up with the king and eat the pawns.

I thought black was trying to move the other way in the problem :)  As is black's move, I don't see why I'm not seeing the board from black's perspective...  That being said, it's actually a pretty common tactic that I've gotten the chance to use many times - and one tactic you should never forget about.

I'm pretty certain that queen vs king+any number of pawns is a guaranteed win for the queen, so long as none of the pawns are within, maybe, 3 moves of advacement.  There would definitely be a lot of ways for black to force a win with a king there.

so they might just be better at thinking than others  they might not need a chess program