BBNN vs. Q

Here is a rather useless puzzle you can work on sometime when you don't have anything better to do.

In the position below, White has 22 legal moves. If Black tries to prolong the game as much as possible, one move by White will lead to a forced mate in 52, one move is good for mate in 54, and one move is good for mate in 55. The other 19 moves all turn the position into a draw.

Can you find White's three winning first moves, and the one quickest winning move?

White to play and mate in 52

If that puzzle was too easy for you, you can also find Black's four drawing moves, in case Black moves first in the same position.

That's still too easy for me. Could you post a configuration with this material where white has some losing moves? I bet you I can find them

That's too simple. But here's one that is somewhat interesting because of the reciprocal zugzwang that results from the obvious first move.

White to play and mate in 110

Could be an endgame study. So many 'only' moves needed for white to win!

Interesting to see the queen bind of the black pieces after 1. Qxg6. The sequence 2. Qe8 Bf8 3. Qg6 Bg7 tells the story. Such patterns are an inspiration for composers.

By telling the story, are you referring to the repetition that occurs after your sequence? Of course, White needs a different move 3.

I know, I was showing how the black pieces are merely puppets on the white string (though black can choose the other cramped defense Ng7 as well if his king position permits)!

Q will win!