@Remellion: Oh, right, the recap (for #34-1) should have White xg4+ as the final step. In position 34-2, this is not necessarily the case: White hxg4 can occur before White fxg3, thus releasing Rh1 to be fed onto dxc6 and Ra1 can be captured on axb2. Back to the drawing board!
Also #22: Yes, I intentionally didn't specify the turn to move; it's part of the puzzle.
@Remellion: Oh, right, the recap (for #34-1) should have White xg4+ as the final step. In position 34-2, this is not necessarily the case: White hxg4 can occur before White fxg3, thus releasing Rh1 to be fed onto dxc6 and Ra1 can be captured on axb2. Back to the drawing board!
Also #22: Yes, I intentionally didn't specify the turn to move; it's part of the puzzle.