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In a helpmate in 3½ white makes the first move, but the aim is still checkmate of the black king.
These problems are thus like set play in helpmates in 4 but without a preceding black key move.
Accordingly we show the solutions in the form 1... for comparison with helpmates in 4 with set play.
6 men 3 types (KRG) 2G
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M. Henrych & M. Bily
Solution: 1... Rg1 2.Gb6 Gh1 3.Ka6 Rg8 4.Ka7 Ra8
Comments: Echos |
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F. Hansson
Solution: 1... Gh6 2.Gb5 Ga4 3.Gd5 Gd6 4.Ge5 Sd4 Comments: Asymmetric play (Ga4 not possible on the other side of the board). |
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T. R. Dawson
Solution: 1... Qa7 2.Kd8 Qb7 3.Ga8 Qb8 4.Gc8 Qd6 Comments: Epaulette mate. The Ps stop 1... Qb3.
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C.Seneca
Solution:
Comment: Mutate. |
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C.E.Kemp
Solution: 1.Kf5 Kf8 2.Kg6 Ne2 3.Kh7 Nf4 4.Kh8 Ng6 Comment: Asymmetry, N-line. |
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B. Larsson
Solution: 1.Kf1 Gh5 2.Gg1 Kh4 3.Kg2 Gh2 4.Kh1 Kg3 Comments: Setting up GK battery |
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M. Bukofzer
Solution: 1.Kb6 (waiting move) Rf8 2.Kb7 Rg8 3.Gb8 Gh8 4.Ka8 Rg7 Comments: Set play is the same, without waiting move.
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B. Rehm (after M. Bukofzer 1945)
Solution: 1.Kc3 Kh2 2.Kb2 Rg1 3.Gb1 Gh1 4.Ka1 Rg2 |
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F. M. Mihalek
Solution:
Comments: Echoes. |
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F. M. Mihalek
Solution: 1.Kc5 Gb4 2.Kb6 Kc3 3.Ka6 Bb5 4.Ka5 Kc4
Comments: Echoes. |
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C. Gaulin
Solution:
Comments: Exact Echo: Reflection in 4th rank |
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J. Dohrn-Luttgens
Solution:
Comments: Setting up GK battery. Exact Echo: Reflection in d file |
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C. Sommadossi
Solution: 1.Sc6 Gd6 2.Sd4 Gd3 3.Sb3 Ga3 4.Sa5 Ga6 Comments: Knight circuit. |
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F. M.Mihalek
Solution: b file: 1.Ka5 Kc4 2.Gd4 Gd3 3.Ga1 Kb3 4.Ga6 Sc4
Comments: Echo. The problem in each case is how to get the BG to the adjacent file. |
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F. M. Mihalek
Solution: a file: 1.Rd1 Kb6 2.Rd5 Ge4 3.Rd3 Kc5 4.Rb3 Bb4
Comments: |
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F. M. Mihalek
Solution:
Comments: Asymmetric. Echo. Translation {0,1} |
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J. Dohrn-Luttgens
Solution:
Comments: Echo: Diagonal reflection, symmetric mate |
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A. Kniest
Solution: 1.Pa5 Bb8 2.Kb2 Ga8 3.Ka3 Ba7 4.Ka4 Bc5 Comments: Setting up of GB battery. |
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W. Hagemann
Solution: 1.Ge4 Rb5 2.Kd3 Rc5 3.Gd4 Rb5 4.Gc4 Rb3 Comments: G-wall, Double switchback by WR |
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C. Becker
Solution: 1.Re8 Kc5 2.Gb5 Gh1 3.Rb8 Kc6 4.Gb7 Kb6 and symmetrically 1.Ra4 etc. Comments: Symmetric single-diagonal position.
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F. R. Adcock
Solution: 1.Rg8 Rg5 2.Kf4 Kf2 3.Ge4 Ra5 4.Rg4 Ga4 Comments: Blocked BG |
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K. Dittrich
Solution: 1.Kb7 Ga6 2.Ga7 Gc8 3.Gb8 Ga8 4.Kxa8 Bc6 Comments: WG catalyst, Epaulette corner mate |
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J. Dohrn-Luttgens
Solution:
Comments: Exact echoes. Reflection in a8-h1 diagonal. Ideal mates. |
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G. G. Nasra
Solution: 1.Kc2 Kg7 2.Gb1 Gh8 3.Kb2 Ga8 4.Ka1 Be5 Comments: Three-corner rattler |
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H. Perkins
Solution: 1.Bc7 Kf2 2.Gg7 Gf1 3.Gb7 Kg1 4.Bb8 Gh1 Comments: Long-stopped BG hurdle |
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O. Binkert
Solution: 1.Kh7 Bg7 2.Gg8 Bh6 3.Kh8 Kb7 4.Bh7 Ga8 Comments: As published WK was at a7 with 3....Ga1 intended, but 3....Kb7 was a dual. |
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F. M. Mihalek
Solution: a) 1.Ke6 Gf6 2.Kf5 Kf3 3.Ge6 Gf7+ 4.Ke5 Bc3
Comments: Echoes |
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F. Lindgren
Solution: 1.Gb5 Se7 2.Kg4 Gd8 3.Kh5 Sf5 4.Gg5 Sh6 Comments: Long-stopped BG hurdle |
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T. R. Dawson
Solution: 1.Sd6 Gc5 2.Sf5 Gg5 3.Sg7 Gg8 4.Se8 Gd8 Comments: Possibly the first G helpmate. Knight Circuit |
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J. Dohrn-Luttgens
Solution:
Comments: Changed ideal mates, away from board edge in (b) |
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F. Kniest
Solution: 1.Gf2 Pd4 2.Gc5 Pxc5 3.Gb6 Pxb6 4.Ga7 Pb7 Comments: Tempo (1....Pd4 2.Gc5 Pxc5 3.Gb5 Pxb5 4.no waiting move) |
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F. Kniest
Solution: 1.Ge4 Kc2 2.Gc4 Gd1 3.Gb4 Kb1 4.Ga4 Ga1 Comments: Leapfrog. Ideal mate. |
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W. Pauly
Solution:
Comments: Echo, corner rattler |
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G. G. Nasra and C. Riga
Solution: 1.Kf4 Bh1 2.Gg3 Gg2 3.Ge5 Pe3 4.Ke4 Gd5 Comments: BG battery set up |
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J. B. Verdonk (correction by N. M. Gibbins)
Solution:
Comments: Blocked BP and BG. |
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L. Lazarus
Solution: 1.Pg2 Pf5 2.P=G Ge4 3.Gg8 Pf6 4.Kh8 Ga8 Comments: BG stopped by board edge. |
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J. M. Trillon
Solution: 1.Kc7 Gh8 2.Kb7 Se7 3.Ga8 Gh1 4.Ka7 Sc6 Comments: Interchange of Gs a8-h1 |
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E. Albert
Solution:
Comments: Exact echo, reflection in e-file. Ideal mate. |
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G. Bernecker
Solution: 1.Ga7 Pd4 2.Gc5 Pxc5 3.Sc6 Pxb6 4.Sa7 Pb7 Comments: Elimination of G. Ideal mate. |
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T. Briedis
Solution: 1.Rg1 Gh8 2.Kg4 Bf6 3.Kh5 Ge5 4.Rg4 Bg5 Comments: Ideal mate. |
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J. B. Verdonk
Solution:
Comments: BR cycle or switchback. Bishop check is incidental. |
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F. Kniest
Solution: 1.00 Gh8 2.Rf7 Gf8 3.Rg7 Be6 4.Kh8 Gh6 Comments: WG circuit. Legality of castling is assumed, it cannot be proved. |
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G. J. Sontag
Solution: 1.Sg4 Gh4 2.Sf2 Ge1 3.Sd1 Ka3 4.Pb1=G Gxc1 Comments: BG blocked by BS. |
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G. G. Nasra
Solution: 1.Kg7 Kb6 2.Gc7 Gg5 3.Gh7 Gg6 4.Kh8 Gg7 Comments: Group movement of WGs along g file. The Gg6 in the mate serves only as a hurdle. |
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P. Quindt
Solution: Set: 1... Bf6 2.Gf7 Bd4 3.G2d5 Bf6 4.Gf5 Be5
Comments: Same mate in each line. |
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K. Harder
Solution: 1.Ge2 Gc3 2.Ke3 Kf5 3.Gdg4 Gd5 4.Gd4 Ge5 Comments: Ideal mate. |
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G. Dobbs
Solution: Black: 1.Gg6 Sc6 2.Gg4 Sd8 3.Gh3 Ge8 4.Gh5 Sf7
Comments: Difficult solving. In the duplex line every piece moves except the WK. |
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J. G. Ingram
Solution: 1.Kf6 Gf7 2.Kg6 Gah5 3.Kh6 Gf5 4.Gg6 Gf8 |
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J. G. Ingram
Solution: 1.Kh7 Gg8 2.d5 Gg6 3.Kh8 Kb8! 4.Gh7 Gd4 Comments: WK waiting move. |
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C. E. Kemp (after M. Bukofzer)
Solution: 1.Kb4 Kc1 2.Gb3 Gd4 3.Kc3 Gd6 4.d4 Gc5 |
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B. Rehm
Solution: 1.Ke4 Gf5 2.Kd3 Ge2 3.Kc4 Gf1 4.Kd5 Gd3 Comments: BK circuit. |
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E. Albert
Solution: 1.Kd5 Ge4 2.Kc6 Ge6 3.Kd5 Gc4 4.Ke6 Ge4 Comments: Ideal mate. BK 4-move switchback. WG 3-move circuit. Tempo. |
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W. H. Reilly
Solution: 1.Qb7 Ga8 2.Qb1 Sb5 3.Sd5 Sa3 4.Ga2 Sc4 Comments: BG escape blocked by BS. |
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C. E. Kemp
Solution:
Comments: Change of axis from diagram to mate. Set without WK. |
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C. E. Kemp
Solution:
Comments: Same mate in each part. Change of axis from diagram to mate. Set without WK. |
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P. A. Petkow
Solution: 1.Ra7 Bd6 2.Rah7 Ge7 3.00 Be5 4.Rff7 Bg7
Comments: Castling. Echo. Reflection in e file. |
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G. Meguerdichian & G. G. Nasra
Solution: 1.Rb6 Kd2 2.Rd6 Ge6 3.Kd4 Ge7 4.Rd5 Ge5 |
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O. Brennert
Solution: 1.Kc1 Rh5 2.Kd2 Rd5+ 3.Ke3 Ge6+ 4.Kf4 Rf5 Comments: Dual 2... Gg8. WPg4 would give a symmetric mate formation. |
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E. Albert (after M. Jacobs)
Solution: 1.Rg7 Kb8 2.Rg5 Gh5 3.Rxa5 Ka8 4.Rb5 a5 Comments: Ideal mate. Tempo. |
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W. Morawek
Solution: 1.Rb7 Rb6 2.Kh1 Rb1 3.g2 Ga1+ 4.g1=G Rb2 Comments: Dual 1.Kh1 Rb6 2.Rb7 ... Is Ph5 necessary? |
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J. Kricheli
Solution: 1.Ke6 Be6 2.Kb7+ Bc4 3.Ga7 Ba6 4.Ka8 Bc8 Comments: Bishop circuit. |
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A. J. Sobey
Solution: 1.Kb4 Kd3 2.Gc2 Gd2 3.Ga4 Ga5 4.Gb5 Bd2
Comments: Echo. Exact translation two ranks, apart from WB. |
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A. Grunenwald
Solution: a) 1.Bf6 Kf2 2.Bg5 Gg6 3.Bf6 Gg2 4.Bg7 hxg7
Comments: BB 4-move switchback, twice. |
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G. Leathem
Solution: 1.Kf4 Ge7 2.Sd7 Gd8 3.Se5 Gc8 4.f5 Gf6 Comments: "Stiff". All pieces move except WK. |
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G. Leathem
Solution: 1.Sb6 Ge7 2.Sh6 Gb7 3.Sf5 Ga5 4.Sd5 Ge4 Comments: Symmetric formation wth asymmetric play. Symmetric finale apart from Ga5 guarding e5.
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J. Dohrn-Luttgens
Solution: Set: 1... Sf4 2.Ge4 Gd8 3.Gb1 Sa3 4.Gd1 Sd3
Comments: Echo. Reflection in b|c line. |
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J. Oudot
Solution: 1.Sd7 Gc7 2.Sf6 Ge6 3.Se4 Ge3 4.Sc5 Gb6 Comments: BS circuit. |
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M. Bukofzer (with correction suggested by A. H. Haddy)
Helpmate in 4, b) d2 - f2 Solution: a) 1.Sf4 Ke3/Ke4 2.Sh5 d4 3.Sg7 Kf4 4.Kf6 d5
Comments: Echo |
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M. Bukofzer (corrected by A. H. Haddy ?)
Solution: a) 1.Sf4 Ke4 2.Sh5 d4 3.Sg7 Ke4 4.Kf6 d5
Comments: Echo. Reflection in e file. |
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K. D. De
Solution: 1.Sf3 Sc3+ 2.Ke5 Gd4 3.f5 Gf6 4.Sd4 f4 |
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S. Hun
Solution: 1.Gh1 Kf2 2.Bc6 Gf1 3.Gb7 Kg1 4.Bh1 Gxh1 Comments: Minimal W force. Black super-switchbacks. |
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H. Brixi
Solution: 1.Ka1 Bh2 2.Qa2 Gh1 3.b2 Bg1 4.b1=G Bd4 Comments: Double check mate. |
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K. D. De
Solution: 1.Qh8 Bb3 2.Ka8 Gxa2 3.Qb8 Ba4 4.Ba7 Bc6 Comments: Double check mate. |
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J. Dohrn-Luttgens
Solution: Set: 1... Sc4 2.Gb4 Se3 3.Kb6 Ge2 4.Ka5 Sc4
Comments: Can also be set as twin: b) after key of a). Same solutions reflected. |
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H. Doormann
Solution: Set: 1... Kc3 2.c5 Gd4 3.c4 Kd2 4.c3+ Sxc3
Comments: G eliminated in actual play. |
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H. Doormann
Solution: Set: 1... Se5 2.Kh2 Gh1 3.g1=R Gf1 4.Bg2 Sg4
Comments: Changed mate |
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G.Meguerditchian
Solution: 1.Ga6-e2 Gd3-h7 (the asymmetric move) 2.Kd3 Ge3-e1 3.Gg6-c2 Gc3-c1 4.Gd4-d2 Ge1-b1 (Gc2-e4 causes self-check by Gh7) Theme: Asymmetry |
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J. A. Lewis
Solution: 1.Kb7 Re2 2.Kc6 Rd2 3.Kd5 Rxf2 4.Ke4 Re2 Comments: The walk to the scaffold, with R as the executioner! |
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J. A. Lewis
Solution: 1.Sf4 Gg5 2.Sd6 Gxe7 3.Ke5 Gg4 4.Rgf6 Gc5 Comments: Ideal mate. Gg4 guards two cells. Gc5 checks. 6 Black pieces block the BK. |
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Composer
Solution: 1. Comments: |