4
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Pursueing these two related puzzles, Chess Bloodshed and Devouring Nobility I create for you Kings' Chess Harem where you have to find, with the minimum number of moves, a legal game where all pawns get promoted to a Queen.

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    $\begingroup$ OMG I was just about to post EXACTLY the same puzzle!!! Great minds think alike. $\endgroup$ – Dmitry Kamenetsky Oct 27 '20 at 10:19
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    $\begingroup$ @DmitryKamenetsky hahaha, a pleasure to share these ideas with you :) $\endgroup$ – JKHA Oct 27 '20 at 10:40
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    $\begingroup$ Related (but not the same, since this puzzle doesn't say ananything about the original queens): chess.stackexchange.com/q/4128/7297 $\endgroup$ – Glorfindel Oct 27 '20 at 10:47
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    $\begingroup$ Henry VIII Queens ok? I.e. after being promoted do they have to survive til the end of the game? $\endgroup$ – Paul Panzer Oct 27 '20 at 12:34
  • $\begingroup$ @PaulPanzer, the puzzle doesn't say anything about the Queens or the original ones. They can survive or not as long as the 16 pawns get promoted :) $\endgroup$ – JKHA Oct 27 '20 at 12:58
5
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46 moves per side is possible

1. a4 h5 2. Ra3 Rh6 3. g4 b5 4. g5 b4 5. gxh6 bxa3 6. b4 g5 7. b5 g4 8. b6 g3 9. b7 g2 10. bxa8=Q gxh1=Q 11. h7 a2 12. h8=Q a1=Q 13. Qb2 Qb7 14. a5 c5 15. a6 c4 16. axb7 c3 17. bxc8=Q cxb2 18. c4 bxc1=Q 19. c5 a5 20. c6 a4 21. c7 a3 22. cxb8=Q a2 23. Qc4 Qg7 24. d4 Qcg5 25. e4 Nf6 26. e5 h4 27. Qg2 h3 28. exf6 hxg2 29. fxg7 f5 30. f4 d5 31. fxg5 dxc4 32. g8=Q c3 33. g6 c2 34. d5 c1=Q 35. d6 e5 36. h4 e4 37. h5 Qc7 38. dxc7 e3 39. c8=Q e2 40. Qgd5 f4 41. g7 f3 42. h6 f2+ 43. Kd2 gxf1=Q 44. h7 fxg1=Q 45. g8=Q axb1=Q 46. h8=Q e1=Q+

Note that 80 pawn moves, 8 other moves for passing by piece capture, and some moves to handle check are needed, so 44 moves per side is not possible

Try it online!

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