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No. 115, Oct. 1995 - SOLUTIONS

3402 - Eric Angelini

There exist proof games with no check, but if we follow the stipulation and assume the wh. King received 4 checks in a 30.5 moves proof game, then necessarily these checks were Rh3-e3+, f3-f2+, d5-d4+ & Be6-b3+. Here is a proof game:

1. e4 h5 2. Qxh5 Nf6 3. Qa5 Nd5 4. Ba6 Nc6 5. exd5 Rxh2 6. dxc6 Rh3 7. cxb7 Rh3-e3+ 8. fxe3 f5 9. Nc3 f4 10. Nb5 f3 11. Nxa7 f3-f2+ 12. Kd1 f1=B 13. Rh8 Bb5 14. c4 d5 15. cxb5 Be6 16. Kc2 c5 17. Kb3 d5-d4+ 18. Ka4 Be6-b3+ 19. axb3 Qb6 20. exd4 Rc8 21. dxc5 Kf7 22. cxb6 Rc3 23. dxc3 g5 24. Bxg5 Kg6 25. Bxe7 Kf5 26. Ba3 Bb4 27. cxb4 Kg4 28. Ra8 Kg3 29. Ne2 Kxg2 30. Nc1 Kh1 31. Na2


3403 - Thierry Le Gleuher

Bl. alternates Bg8-h7-g8-h7... while the Wh. King triangulates on d3-d4-e3. Wh. plays 1-6. Kh1-b1 7-13. Kb1-b8 14-19. Kb8-h6 20-23. Kh6-e5 24. Kd4 25. Kd3 26. Ke3 27. Kd4 28-51. Kd4-h1


3404 - Leonid Borodatov

The position is legal and Wh. may have the move, so that Wh. mates with Q/Rxg4#. The main difficulty is to avoid draw by the fifty-moves rule.

Start from

[8/3N2p1/4p1Pb/5BRQ/3PPkpp/2Ppr1RR/nppP1PPr/5bK1]

[8/3N2p1/4p1Pb/5BRQ/3PPkpp/2Ppr1RR/nppP1PPr/5bK1]

and play
1 ... b1=Q 2. Ne5 Qd1 3. Nd7 Qf3 4. Ne5 Nc1 5. Nd7 Be2 6. Ne5 Bd1 7. Nd7 Ne2 8. Kf1 Ng1 9. Ne5 Re2 10. Nd7 Rh1 11. Rh2 Re3 12. Rgh3 Qg3 13. Ne5 Rf3 14. Ke1 Be2 15. Nd7 Bf1 16. Ne5 Ne2 17. Nd7 Rg1 18. Rh1 Qh2 19. Rg3 Qh3 20. Rh2 Rh1 21. Ne5 Ng1 22. Nd7 Be2 23. Ne5 Bd1 24. Nd7 Re3 25. Kf1 Re2 26. Re3 Qg3 27. Rh3 Qh2 28. Reg3 Re3 29. Ne5 Rf3 30. Ke1 Be2 31. Nd7 Bf1 32. Ne5 Ne2 33. Nd7 Qg1 34. Ne5 Rh2 35. Nd7 Qh1 36. Ne5 Ng1 37. Nd7 Be2 38. Ne5 Bd1 39. Kf1 Re3 40. Nf3 Ne2 41. Ng1 Rf3 42. Ke1 Nc1 43. Kf1 Nb3 44. Ke1 Na5 45. Kf1 Nc4 46. Ke1 Re3 47. Kf1 Re2 48. Re3 Ne5 49. Rhg3 Nf3 50. Rh3 Ne1 51. Rhg3 Rh3 just in time. (A variant start would have a Qf3 in place of the Re3 and go on with 1 ... b1=R).