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  • $\begingroup$ I wonder why you didn't consider 8 queens instead in the first case above, wouldn't that increase the score to 136 (stalemate & checkmate can be avoided considering black king to blunder again)? Also, its good that both are possible situations in a chess game. $\endgroup$
    – thisIs4d
    Commented Apr 4, 2023 at 4:49
  • $\begingroup$ What's the move sequence in the "black could easily win with 1. ... Qh8xh7+" variation? Looks like the white king starts to run out of squares really fast. $\endgroup$
    – Bass
    Commented Apr 4, 2023 at 6:24
  • $\begingroup$ @thisIs4d I don't know how to do it while keeping black's moves forced. $\endgroup$
    – loopy walt
    Commented Apr 4, 2023 at 7:14
  • 1
    $\begingroup$ @loopywalt, can you consider following changes in the first solution above: 1. White queen on a8. 2. White rook on a6. 3. Black queen on a5. Rest is the same as shown above. Now if 1...Qa1, 2 Rxa1, you get your original solution with a +4 score, i.e. 123 $\endgroup$
    – thisIs4d
    Commented Apr 4, 2023 at 8:11
  • 1
    $\begingroup$ @thisIs4d I'm pretty sure that would make it an unreachable position because to get all the white pawns past all the black pawns 8 pieces must already have been captured and there are already 24 pieces on the board. $\endgroup$
    – loopy walt
    Commented Apr 4, 2023 at 10:45