contributed by Mr. Leo Springer : nlcoq068@capitolonline.nl ======================================================= (variants may be discussed) endgame 1. Back: 9,11,16,21 White:31, K34 endgame 2. B: 5, 29, 36 W: 9, 19, K43 endgame 3: B: 8, 35, K30 W: 7, 15, 19, K37 endgame 4: B: 12, 13, 22, 26 W: 20, 25, 32, 34 endgame 5: B: 1, 6, 7, 11, K38 W: 18, 28, 30, 47, K35 endgame 6: B: 11, 14, 27, 33 W: 30, K8, K35 endgame 7: B: 25, 26, 45 W: 15, 34, 44, K40 endgame 8: B: 27, K36 W: 9, 10, 39, 45 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ N01. 12!(17)* 3! (22) 25!!(27)A 26(28) 21!+ A(28):20!(32)47! (26) [or:(27)22(21)and wite makes a King at 1,2 or 4,always winning.] 27,36+ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ No2. 4(34)25(41) 20!(47)15(41)[or:(10)36+] 14(41x10)4-9(4)*36(5-10)20+ HERE FOLLOWS a good analysis for this I analysed the entire problem in deep and in (2)->A1->"E2" I have a problem. I put that into PDN notation so that easy to understand. 2.1, 2.2 .... support positions for the main problem 2 2.1) 10,k4 //36, k15 1. 15-20 10-15A 2. 20-9 + A : 1. ----- 10-14 2. 20x9 + 2.2) 5,k10//k4,k15 1. 15-20 10-15A 2. 20-47 5-10 3. 9-4 10-14 4. 9x20 + A : 1. ----- 10-23 2. 20-14 + 2.3) 5, 29,41 // 19, k4,k43 1. ???????? The actual problem : 2. 5,29,36//9,19,k43 1. 9-4 29-34A 2. 43x25 36-41B 3. 25-20 41-47C 4. 20-15 47-41D 5. 19-14 41x10 6. 4-9 10-4 7. 9-36 5-10 8. 15-20 now it is 2.1 and white wins A1 : 1. ----- 36-41 2. 43-32 41-47E 3. 32-41 47x36 4. 19-13 + A2 : 1. ----- 29-33 2. 4-31 + B : 2. ----- 5-10 3. 4x15 36-41 4. 15-47 41-46 5. 25-14 46-32 6. 14-5 + c : 3. ----- 5-10 4. 4x15 41-46 5. 20-14 16-28 6. 14-5 + E1 : 2. ----- 41-46 3. 19-14 + E2 : 2. ----- 29-34 3. 32x46 34-39 4. 47x36 39-44 .......... now 2.3 position and how can white wins ???????????? D : 4. ----- 5-10 5. 4-36 + >>I think you didn't play the right position in variant 2.3/E: >>5.29.41//K4,19,43 >>32(34)32x46(39) [or:(10)15(39)33+] 19-13!(44)28+ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ No3. 10![14? would be a draw after: (40)28(34)2(23!)=] (13)4(36)* 2!(47)* 2x13(20)*42!!(47) 15(41)*30,36+ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ No4. 15(19)20!(31)27(37)7(42)2!(23)*10(48)2-19!!(48x5)46+ Analysis of your answer in PDN and the problem points are A1 and A2 1. 20-15 13-19A 2.25-20 26-31B 3.32-27 31-37C 4. 27x7 37-42D 5.7-2 19-23E 6.15-10 42-48F 7.2-19 A1 : 1.--- 12-18 2.34-29 26-31 3.???????? A2 : 1.--- 26-31 2.32-27 31-37 3.27x9 37-4 ??????? ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ No5. 49(16)*12!23!24!42(25)*38,2+ After this there exists a situation of B : 1,6,25 W : k2 Now Black to move 1. ---- 1-7 (A) 2. 2x16 25-30 3. 16-43 30-35 4. 43-49 6-11 5. 49-44 11-16 6. 44-49 + A: 1. ---- 6-11 2. 2x16 25-30 3.16-43 30-35 4. 43-49 1-7 and now black can come through 7,12,18......etc MY PROBLEM IS HOW TO WIN IN THIS CASE ?????????????? (This may be a basic question but I cannot understand by myself.) ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ No6. 25!(38)[see variants later!]8-24!(43)19!!49(48)*34+ Variants at the 1st move: a.(20,38)35-30(42)3(32)*13![menace:17+](37)*24+ b.(32)8-24(32-38)*49!(39)*7!!(19)13!(43)27!+ I analysed it in deep and there exists a problem To present my problem clearly, here follows full analysis. MY PROBLEM IS AT "A4" (6.1) 14,39//25, k24,k2 1.2-7 14-19(A) 2.24-13 39-43(B) 3. 13-27 43-49(C) 4.7-16 + A1 : 1. --- 14-20 2.24-15 39-43 3.15-38 + A2 : 1. --- 38-43 2.24-19 + B : 2. --- 39-44 3. 7-40 44x35 4.13-18 + C : 3. --- 43-48 4. 7-34 + (6.2) 11,14,27,43 // 25,k24,k35 1.24-19 14x23 2.35-49 43-48 3.49x34 + (6.3) 11,27,42//14,8,k30 1.8-3 27-32(A) 2.30-13 32-37(B) now similar to 6.4 A1 : 1.--- 42-47 2.30-24+ B1 : 2.--- 11-16 3.13-27+ B2 : 2.--- 32-38 4. 3-17+ (6.4) 11,37,42//k3,k13,14 1. 13-24 42-47 2.24-29+ Now the real problem (6) 11,14,27,33//30,k8,k35 1.30-25 33-38(A) 2.8-24 38-43 now like 6.2 A1 : 1.--- 14-20 2.25x14 33-38(C) 3.35-30 38-42 now like 6.3 A2 : 1.--- 27-32 2.8-24 32-38(B) 3.35-49 33-39 4. 49-7 now like 6.1 A3 : 1.--- 33-39 2.8-30 39-43 3.30x48 32-38 4. 35-24 + A4 : 1.--- 27-31 ??????????????????? B : 2.--- 33-39 3.24-30 39-43 4.30x48 32-38 5.35-24 + C : 2.--- 33-39 3. 8-30 + ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ No7. 35(31) [or:(50)2,35(31)19(40,37)24(41)19+] 10(37)*34-30!!(34)35-40!! [unbelievable, but true!](50) [or: (39)33,29,5+] 40x41!+ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ No8. 3(32)4(38) [or:(37)17!(47)*15(37-42)26!(48)39-33,15x42+] 26(41)4-22(14)6 [this strategic endgame is turning around the continual threat from black to play 25 with a draw. Interesting and original are the different defenses white has at any moment! For instance here: (25)48,34 (42)33+] (19)40![the beginning of a long walk!] (14)40-34(19) [or:(25)6-33!48,45+] 1!(14) [or:(28)21!(50)49+] 29!(19) [0r: (25)48,39(42) 29-23+] 31(14)24!(10) [or: (25)39-33!!(38x20)48+Beautiful!] 20(19)45![Menace:33+ so for the last time there is this possibility:(30)48,30!(42)23!+] (5)15(46)50!(5)*26!(32)* [or: (23)21(42)38+]3![menace: 10 and 14+](27)20+ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ notes : nlcoq068@capitolonline.nl ----------------------------------- -----------------------------------