SELECTEDCHESSCOMPOSITIONSGEORGEGRATZER12 GEORGEGRATZERIfyoudoneit,itaintbragging.BaseballgreatDizzyDean1. IntroductionThisisthecoverof themagazineMagyarSakkelet(HungarianChesslife), theocial organof theHungarianChessFederation, fromMay1954. ItrecordsthelastchessgameIplayedinatournament. (Iamtheyoungsterontherightsideofthepicture.)SELECTEDCHESSCOMPOSITIONS 3This is how the story starts about my chess compositions. I am a mathematician,andassuchIamnotusedtowritingintherstpersonsingular. ButifIwantthestorytold, Ihavetotell itmyself. Almosteverybodyinthisstoryisdead, mostlongdead.When my picture appeared in the chess magazine, I was about to graduate fromgrade12. TheteamIplayedfor,Tipograa(Typography),justwontheBudapestchampionship. The leader of our team was asked to write an article for the magazineabout our team, so he asked us to look over the games we played in this tournament,andlookforpositionsinwhichwewereclever,sohecanwritethemup.Itwas a big chore to lookoverthe thirtyorso games. The resultwas extremelydisappointing. EventhoughI rated85%, everywinwas duetoanerror of theopponents. IdecidedthatthetimeIspendonchesswouldbemoresatisfyingifIcreated chess problemsthese are absolute and not illusory, not dependent on youropponentsignoranceandpsychology.Dr. Jeno Ban (19191979), one of the chess masters at the chess club, introducedus tochess compositions, especiallyendgames (whiteplays andwins or draws).I guredthat ifI compose endgames,andI state that white wins (or draws),theseoughttobeabsolute, andnotdependentonmistakesbytheopponent. Istartedstudying endgames; youhave to be familiar withthousands of themto createoriginalones.MysecondmentorwasGyorgyParos(19101975). Unquestionablytheworldleadingchesscomposerinhelpmates.1Hetaughtmehowtoaimatunclutteredpositions,fewpieces,andelegantideas.Paros told me the story of one of his most famous compositions; how he struggledwiththeideaforyears,andhowhewokeuponemorningandsetupthepositionon his chess board. And that is why I quit after about two years. The subconsciousworknecessaryfor success inchess compositions competedagainst thesameformathematicalresearch,andIhadtogiveoneofthemup.I look back at this period, 195456, with great satisfaction. For this time period,myendgame#11wasociallyplacedthesecondbestinHungarywhichisnotbad because I was so young and just starting. And the one placed rst proved to bedefective!Acknowledgement. Having moved in the last 50 years to two new countries, it isnotsurprisingthatIhavenorecordofmychesscompositions. MariaHalmosdidalltheworktondthem,andIdobelievethatshefoundmostofthem.JanosMikitovics(JM)theauthorof thesplendidWebsite: HungarianChessComposers: http://www.magyarsakkszerzok.com/index.htmlwent through mycompositions and sent me a long document, analyzing them. He also took the timetoeducatemeaboutthetechnical advancesthathavehappened, especially, Fritz(Inowhaveversion11)andtheKnowledge4ITWebsite. AnotherhugeadvanceistheNalimovendgamedatabases, nowcompleteupto5pieces(considerthatmyComposition#1hadonly5pieces),andcoveringallthe6piecepositionswithoutpawns.1In a helpmateboth sides are cooperating to checkmate black. The rst move is made by black.Soinahelpmateintwo, blackmoves, thenwhitemoves, thenblackmovesagain, andnallywhitecheckmatesblack.4 GEORGEGRATZER2. PickingfavoritesIagreewithMJ.Ifyouwanttoseeonlythreechesscompositionsofmine,picktheendgamesNo. 1b,No. 11andthehelpmateNo. 13.SELECTEDCHESSCOMPOSITIONS 53. Chronologicallisting1a. 1954HungarianNationalEndgameCompetitionSixthplaceMagyarSakkelet 1954,issue11/12,p. 285(revised)WhitedrawsThis was myrst endgamecomposition; I was 18. It was publishedin1954inMagyarSakkelet, soitparticipatedinthe1954HungarianNational EndgameCompetition,placingsixth.6 GEORGEGRATZERSolution(MagyarSakkelet 1954,issue11/12,p. 285):1.Kg6!(1. g4?d52. g5d43. g6d34. g7Bc4blackwins)1. ,d52. Kf5d43. Nd7! (3. Ke4?d34. Ke3Ke1blackwins)3. ,d34. Nb6! (4. Nf6?Bc6blackwins)4. ,d25. Nd5Ke26. Nc3+(6. Kf4?Bc6 7. Nc3+ Kd3 8. Nd1 Bg2: black wins)6. ,Kd37. Ne4! d1Q8. Nf2+draw.5. , Kg2: 6. Nc3, Kf37. Ke5Ba48. Kd4Bc29. Nd1Ke210. Nb2drawSELECTEDCHESSCOMPOSITIONS 71b. OTSBNyeviczkeyMemorialCompetitionFirstprize(revised)MagyarSakkelet 1956,issue11/12WhitedrawsTwoyearslater, Icomposedthisendgame. Thisleadstotheopeningpositionof 1a,wheninmove6blackappearstocapturethewhiteknightwithBb5.8 GEORGEGRATZERSolution(MagyarSakkelet 1956,issue11/12):1. b7Rh4+2. Kg7Rg4+3. Kh8: Rg8+4. Kh7Bc45. b8QRb8: 6.Nb8: Bb5nowcontinueasin#1,whitedraws.SELECTEDCHESSCOMPOSITIONS 92a. OTSB1954HungarianNationalEndgameCompetition(revised)SecondHMMagyarSakkelet 1954,issue12,#82Whitewins2b.Whitewins10 GEORGEGRATZERSolution2a(MagyarSakkelet 1955,issue3):1. Bh4:+!! (1. Bc7+?d6!! 2. Rg8Kf23. Rf8Ke14. Rg8e25. Ba5Kd1or1. Rb8e22. Ba5h3whitecannotwin;)1. , Kh4: 2. Rh6+, Kg33. Rh1,Kg24. Rb1!,Kf25. Kd3,e26. Kd2,Kf37. Re1!,d68. Rg1!,Kf29. Rb1!, Kf310. Re1, d511. Rg1!, Kf212. Rb1!, Kf313. Re1, d414.Rg1!,Kf215. Rb1!,Kf3. 16. Re1,d317. Kd3:,Kf218. Kd2,Kf319. Rg1,Kf220. Rb1,Kf321. Re1andsoon,whitewins.Solution2bSameasthatof2a,startingwithmove2.SELECTEDCHESSCOMPOSITIONS 113. MagyarSakkelet 1955,issue1,#90Whitewins12 GEORGEGRATZERSolution(MagyarSakkelet 1955,issue4):1. cb6:,Rb6: 2. Qd8+,Ka73. Qd4!,g54. Kg2!,g4! 5. Kg1!,f36. Kf2,h37. Kg3andsoon,whitewins.SELECTEDCHESSCOMPOSITIONS 134. MagyarSakkelet 1955,issue4,#1863Helpmatein3(version)a. Thediagramb. Movewhitepawnfromb3tog514 GEORGEGRATZERSolution(MagyarSakkelet 1955,issue6):a. 1. Nb4:,g8N2.Nc6,b4! 3. Nd8,Ne7checkmate.b. 1. Bc1,g8B2. Bg5:,Bf7! 3. Bd8,Be6 checkmate.SELECTEDCHESSCOMPOSITIONS 155a. MagyarSakkelet 1955,issue5,#105(revised)Whitewins5b. MagyarSakkelet 1955,issue5,#106(revised)BTSB1956InternationalEndgameCompetitionFourthprizeMagyarSakkelet 1956,issue11/12,#106Whitewins16 GEORGEGRATZERSolution5a(MagyarSakkelet 1955,issue8):1. a6h32. Nf3! (2. a7?Bd5: 3. Kd5: h24. a8Qh1Q+5. f3Qe1:6. Ke5: Qg3+7. Kf5Qf4+8. Kg6Kf29. Qe4Kg310. Kh5Kg2! 11. Qf4: gf4:12. g5Kf3: draw.) 2. Kf3: 3. a7Bd54. Kd5: h25. Ke5:! Kg5:6. a8B!whitewins. (6. a8Q?h1Q7. Ke5: Kg4: 8. Qh1: stalemate.)Solution5b:1. Nc3(1. a7?Bd42. Bb6: Bh83. Bc7a34. Bd5Bd5: 5. Kd5: a26. h8Qa!Q+7. f3easydraw)1. , Kc32. h7, Bd43. Bb6: Bh84. Bc7!(4. Bd8a35. Bf6+Bf6: 6. Kf6: a27. h8Qa1Q8,Ke6+d4easydraw)4. ,a35. Bc7! a35. Be5+Be5: 6. Ke5: h8B!whitewins.SELECTEDCHESSCOMPOSITIONS 176. WithP.BauerBTSB1956InternationalEndgameCompetitionNinethplaceMagyarSakkelet 1955,issue6,#116Whitewins18 GEORGEGRATZERSolution(MagyarSakkelet 1955,issue9):1. Re2d32. e7! d2! 3. Rd2: Re64. Rd7+Kb65. Kc3! (5. Rd6? Kb5:6. Re6: stalemate;5. Kc4?Re7: 6. Re7: stalemate)5. Kb56. Kd4Kc67. Ra7Re1(7. Kb68. Kd5Re19. Rd7wins)8. b5+Kb5:9. Kd5Kb610. Rd7Rd1+11. Ke6Re1+12. Kf7Rf1+13. Ke8andKd8wins.SELECTEDCHESSCOMPOSITIONS 197. MagyarSakkelet 1955,issue7,#1933Matein4520 GEORGEGRATZERSolution(MagyarSakkelet 1955,issue10):1. Na3+Ka12. Nb1! Kb1: 3. Qd3+Ka14. Qd4Kb15. Qe4+Ka16. Qe5Kb17. Qf5+Ka18. Qf6Kb19. Qg6+Ka110. Qg7Kb111.Qh7+Ka112. Qh8Ka113. Qg7Kb114. Qh7+Ka115. Qh8a616. Qg7Kb117. Qh7+Ka118. Qh8a519. Qg7Kb120. Qh7+Ka121. Qh8a422. Qg7Kb123. Qh7+Ka124. Qh8a325. Qg7Kb126. Qh7+Ka127. Qh8b528. Qg7Kb129. Qh7+Ka130. Qh8b431. Qg7Kb132. Qh7Ka133. Qh8e1Q+34. Ke1: Kb135. Qh7+Kc136. Qh6+Kb137. Qg6+Kc138. Qg5+Kb139. Qf5+Kc140. Qf4+Kb141. Qe4+Kc142. Qe3+Kb143. Qd3+Ka144. Kd4Kb145. Qd1+checkmate.SELECTEDCHESSCOMPOSITIONS 218. MagyarSakkelet 1955,issue10,#1989Matein422 GEORGEGRATZERSolution(MagyarSakkelet 1956,issue1):1. g7! threats: 2. Qg6checkmateand2. gh8:Qcheckmate.1. Rhe8: 2. g8N+Rg8: 3. Nf6checkmateinthenextmove.1. Rce8: 2. gh:Q+Rh8: 3. Ng7checkmateinthenextmove.SELECTEDCHESSCOMPOSITIONS 239. MagyarSakkelet 1955,issue11,#2037Helpmatein2OnOctober6,1955,GyulaNeukommorganizedacompositionwithathemequicktournament. Timelimitforcreating the composition: 2hours;time limitforjudging: 1 hour. The theme: Helpmate in 2, and in the rst move, the black queentakesthewhitequeen.Ifthewhitequeen(one7)isremovedorreplacedbyanotherpiece,thecompo-sitionisincorrect;leastobviousisthereplacementwitharook,inwhichcase,theunintendedsolutionis1. Kd5: Bf3+2. Kd6: Bb4checkmate.24 GEORGEGRATZERSolution(MagyarSakkelet 1955,issue11):1. Qe7: Kg22. Nd3Bf3checkmate.SELECTEDCHESSCOMPOSITIONS 2510. 1955CompetitionoftheFinnishFederationofChessComposersSixthplaceMagyarSakkelet 1956,issue3,#189Whitewins26 GEORGEGRATZERSolution(MagyarSakkelet 1956,issue3):1. c4! Bc4: (1. Rd1orf12. Ne3+whitewins. 1. Ra52. f7Rf53. Ne3+whitewins)2. Ne3+Kb33. Nc4: Kc4: 4. Bf3! Ra5(4. Rf1ora65. Be2+whitewins. 4. Rb1ora25. Be2+and6. f7wins.)5. Bg4whitewins.SELECTEDCHESSCOMPOSITIONS 2711. 1955NepszavaFirstprizeMagyarSakkelet 1956,issue3,#186FourthHungarianNationalCompetitionSecondprizeMagyarSakkelet 1957,issue8/9,#242Whitedraws28 GEORGEGRATZERSolution(MagyarSakkelet 1956,issue3):1. Na4+Kb4orb5 (1. Kd5 2. Nb6+ Ke5 3. Nd7+ and so on perpetual checkorreturntothemainvariant)2. Rb6+Ka4: 3. Bd7+Nc64. Bc6:+Ka5! (4. Qc6: 5. Rc6and6. Rc1draw.) 5. Rb5+!(5. Bg2:?Kb6:! 6. Bd5Kc5! blackwins.) 5. Ka66. Bg2: Kb5:7. Bf1!! Kb48. Kc2draw.6. a27. Rc5!! a1Q8. Bh3: Qd1+9. Kc4Qc2+10. Kb4Qb2+11. Kc4Qe2+12. Kb3! draw (12. Kb4?Qe7! 13. Kc4 Qh4+ black wins).Similarly9. Qc1+10. Kb4Qf4+11. Kb3! draw.SELECTEDCHESSCOMPOSITIONS 2912. OTSB1956SecondprizeMagyarSakkelet 1956,issue7,#2155Helpmatein3Solution:1. Kf5d8B2. Ke6e8R3. Kd7b8Ncheckmate.30 GEORGEGRATZER13. MagyarSakkelet 1957,issue5,#236WhitedrawsSolution(MagyarSakkelet 1957,issue10):1. e7! (1. b3?a32. e7. Rg3:+! 3. Kg3: Bg6: blackwins. 1. g7?Rd8blackwins.) 1. Re32. g7Ba23. b3! Bb3: 4. e4! Be4: 5. Ne6! Be6:!6. e8QBg4: 7. Kh4! Re8: 8. g8QRg8: stalemate.SELECTEDCHESSCOMPOSITIONS 3114. MagyarSakkelet 1957,issue6,#242WhitewinsSolution(MagyarSakkelet 1957,issue10):1. b5+! Kb5: 2. de:! (2. Be2+?Kc53. de: Rh3+and4. Re3draw.)2. Ne7: 3. Be2+Kc5! 4. Ne7: Rh3+5. Ka2! (5. Ka4?Rh4+and5. Re4draw.) 5. Be36. b4+! and7. Hd5(f5)+wins.(1. de:?Ne7: 2. Be2+Kb7! 3. Ne7: Rh3+and4. Re3draw.1. Ne7:?Ne5! 2. Be2+Kb63. Ka4Rh1draw.)32 GEORGEGRATZER15. MagyarSakkelet 1957,issue12,#257WhitewinsSolution(MagyarSakkelet 1958,issue1):1. Re4! (1. Ng1:?Bh4: draw.) 1. Nf3:! (1. Nh3: 2. Re1:+Ka23. Kc3: Nf44. Rdlwhitewins.) 2. Ng1! Ng1: 3. Re1:+Ka24. Re3! (4. Rg1:? stalemate) 4. Ka15. Bc3:! (5. Kc3:? Kb1draw.)5. Ka2 (5. a26. Re3! whitewins.) 6. Re3c3! 7. Kc3:! Kbl8. Kb3! whitewins.SELECTEDCHESSCOMPOSITIONS 334. Cooksandcomments1a. Thisendgamewaspublishedwithoutthewhitepawnong2.Cook:21. Kg6d52. Kf5d43. Nd7! d34. Nb6d25. Nd5Ke2! 6.Nc3+Ke3! andblackwins.Thisposition, of course, todayispartof theNalimovdatabase. JMobservedthatplacingawhitepawnong2eliminatestheCook.1b. Because of the Cook for 1a, this also had to be revised. Just placing a whitepawnong2introducesaCook. Therearemanywaystogoaroundit,Ishowtwo.2. Originally,thiswaspublishedintheform:WhitewinsCook: 1. Rg6+! Kf3(1. ,Kf22. Bxh4+Ke2;2. ,Kf13. Rb6Ke24. Be7Kd15. Bxa3e26. Rxb2+-)2. Rg1Kd23. Kc4Kc2(4. , d5+5.Kb3+-)5. Rg2+e2(5.,Kd16.Kc3+-)6. Rxe2+Kd17. Re1+Kc28. Kb4b1Q+9. Rxb1Kxb110. Kxa3whitewins.Easiestcorrection: droptherstmove, see2b. Alternatively, blocktherooksaccess to the g le,as is done in 2a. This solution has the added advantage that in2athecheckonc7seemsveryattractive.2ACookorCooksolutionisanalternativewayofachievingthegoal,demonstratingthatthecompositionisawed.34 GEORGEGRATZERThisendgameshowssomelimitationsofeventhebestchessprograms. Lookatthispositioninthisendgame:WhitewinsEvenwithunlimitedtime, Fritz11doesnotndthewinningmove: Rb1. NordoesSigmaChesswithHIARCS12.1MP. Apparently, thistypeof zugzwang3isdicultforacomputerprogramtoanalyze.3Asituationinachessgameinwhichaplayerisforcedtomakeanundesirableordisadvan-tageousmove.SELECTEDCHESSCOMPOSITIONS 355. Originally,5awaspublishedwithoutthec2pawn.Cook (JM): 1. a6Bb1! 2. Kxe5h33. a7Be44. Kxe4h25. a8Qh1Q+6. f3Qxe17. Kf5Qd28. Qe4+Kf19. f4Qd7+draw.5bisderivedfromitspublishedform:WhitedrawsSolution(MagyarSakkelet 1955,issue8):1. Bb8Bg12. Be5Bd43. Bd4: Kd4: 4. h6Nf65. Kf6: a26. h7a1Q7. h8QKe5+8. Kg5: Qh8stalemate.If 6. a1B7. h8QKe4:+8. Kf7:! Bh89. Kg6draw.1. a22. Be5Bg3: 3. Ba1Bf24. h6Bd45. Bd4: Kd4: 6. h7a1Q7. h8Q+f68. Qe8: Ke49. Qg6+and10. Qf5draw.(1. h6?Nf62. Kf6: a23. Bd4Kd4: 4. h7a1Q5. h8QKe4:6. Kg5: Qe5+! blackwins.)Cook: (JM)1Nf6! 2. Kxf6a23. Be5Bxg34. Ba1Bf2! (4. Be1?5.h6Bc3+6. Bxc3Kxc37. h7a1Q8. h8QKd3+9. e5Qf1+10. Ke7Qf411. Qf6Qxg412. Kxf7Qh5+)5. h6Bd4+6.Bxd4Kxd47. h7Kxe4(7. a1Q8. h8QKxe4+9. Kxg5Qxh8stalemate.) 8. Kxg5a1B!! Blackwins. (8. a1Q?9. h8Q!Qxh8stalemate.)36 GEORGEGRATZER10. Cooks:1. Ra4,Bd22. Rd4,Nc3checkmate1. Ng5,Nxf6+2. Kf4Qxe5checkmateLuckyforme,thesewerenotdiscoveredintheonehourMr. Neukommhadtondcooks.11. My#11receivedthesecondprizeintheFourthHungarianNationalCom-petition. TherstprizewinnerwasA.Koranyisendgame:WhitewinsSolution(MagyarSakkelet 1957,issue8/9,p. 139):1. c6Nb32. Bc5+Nc5: 3. c7Rb1+4. Ke2Rb2+5. Kf1Rb1+6. Kg2Rb2+7. Kh3Rb3+8. Kh4: g5+9. Kg4Rb4+10. Kf5Rf4+11. Kg6Rf6+12. Kf6: Nd7+13. Ke6Nb614. Bg4Nc815. Kf6Ne716. Kg5: Kg817. Bc6+Kg718. Bc4(b3)Nc819. Bb3(c4)Ne720. Bc6Kf821. Kf6Ke822. Kg7whitewins.SELECTEDCHESSCOMPOSITIONS 37Thenalpositionisaninterestingzugzwang.4Of course, itisnotthispositionthatmakesKoranyisworksoremarkable,butthe22interestingmovesthatleaduptoit.It is dicult to use Fritz 11 or Hiarcs 12.1 MP to nd a Cook in this composition.To look ahead 22 moves is a horizon too far. However, we can observe that in move12. Kf6: reducesthenumberofpiecesto6:sowecanusetheKnowledge4ITWebsite. Obviously,blackmovesNf7+,andhereisthesurprise: 13. Ke6winsin19movesand13. Kf5alsowinsin19moves. 13.Ke6istheintendedsolution(seeabove);13. Kf5isaCook:13. Nb614. Ke6(14. Ke5alsowins.) Nc815. Ke5Na716. Kd5Nc817. Bg4Ne718. Kd6Kf719. Kd7Kf620. Ke8whitewins.4Asituationinachessgameinwhichaplayerisforcedtomakeanundesirableordisadvan-tageousmove.38 GEORGEGRATZER5. Fromtheashes. . .Fromthedefectivecompositionsof old, wearetryingtyoresurrectsomewithJanosMikitovics.16. GeorgeGratzer&JanosMikitovicsMatPlus,May2009WhitewinsSolution: 1. Kb7!/iNe82. a7!/iiNc73. Nb3! Kd6/iii=main4. Nc5!/iv Na85. Ne4+!/v Kd76. Ng5!!/vi 6...f5/vii=main 7. Nxe6wins.i)1. a7??Kc8! 2. Nc2Ne83. Nd4Nc7#;1. Kb8?Ne8! 2. a7Nc7=ii)2.Nb3?Nd6+=iii) main 3. ..Na84. Nc5+Kd6 (4. ..Kd8 5. Ne4! f5 6. Ng5 Kd7 7. Nxe6+-)5. Ne4+(5. Na6? Kd76. Nb8+Kd67. Nc6f5! 8. Ne5Nc79. Nc4+Kd710.Ne5+Kd611. Nc4+Kd712. Ne5+Kd6positionaldraw.) 5. ..Kd76. Ng5+-mainline; 3. ..e54. Nc5+Kd85. Kc6+-(5. Na6? Na86. Nb8f6! 7. Nc6+Kd7=)iv)Thematictry4. Nd4? Na8(4. ..Kd7? 5. Nf3f66. Nd2f57. Nb3e58.Nc5+Kd89. Ne6+Nxe610. a8Q++-;4. ..e55. Nb5+Nxb5)5. Kxa8(5. Nc6f5(5. ..f66. Nd4)6. Ne5)5. ..Kc7!=v)Thematictry5. Na6?Kd7! 6. Nb8+Kd67. Nc6f58. Ne5Nc7(8. . f4?9.Nc4+Kd510. Kxa8+-)9. Nf7+(9. Ng6Na8! (9.. e5? 10. Ne7! f411. Nd5+-)10. Nf4e511. Nd5e4=)9.. Kd710. Ng5e5!=(10.. Kd6? 11. Nxe6+-); 5.Na4?f5 6. Nb6 Nc7 7. Nc4+ Kd7 8. Ne5+ Kd6 (8 .. Kd8?9. Nc6+ Kd7 10. Nd4e511. Nxf5+-)9. Nc6Na810. Nd8f4=(10.. Nc7?11. Nxe6+-)vi)Thematictry6. Nf6+?! Kd6! (6.. Kd8? 7. Nh7!! e58. Nf6Nc79. Ne8!Na810. Nd6! f611. Kc6!! (11. Ne4?! f512. Nd6f4! (12.. e4? 13. Nxf5+-)13.Nf7+Ke7!! (13.. Kd7? 14. Nxe5++-)14. Kxa8f3=)11.. Nc712. Ne8! Na813. Nxf6!+-)7. Ne8+Kd78. Kxa8Kc89. Nd6+Kc710. Nxf7Kc811. Ne5Kc7positionaldraw.vii)main6.. e57. Nxf7a)7. Ne4? f5=(7.. Nc7? 8. Nf6+Kd69. Ne8+Nxe810. a8Q+-); b) 7. Nf3? f68. Nd2f5(8.. Nc7? 9. Ne4f510. Nc5+Kd811. Ne6+Nxe612. a8Q++-; 8.. Kd8? 9. Ne4f510. Nd6f411. Nf7++-)9. Nc4e410. Nb6+Kd611. Nxa8e312. Nc7e213. a8Qe1Q14. Qa3+(14.Qd8+Kc515. Qd5+Kb416. Qb5+Ka3=(16.. Kc3?17. Qa5++-))14.. Kd7(14.. Ke5? 15. Qe7++-)15. Qa4+Kd8=; 7.. e48. Ne5++- (8. Ng5? e3=)K7/3k1ps1/P3p3/8/8/8/8/S7Ka8Sa1Pa6-Kd7Sg7Pe6f7