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Grand Master |
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Joined: Mon Apr 21, 2008 9:44 am Posts: 310 Location: MV, Germany
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Assassin 58 V1.53x3::k: 6912:6912:6912:2563:5380:5380:5894:5894:1800:6912:2314:2314:2563:5380:3854:3854:5894:1800:6912:4883:3092:2563:3606:3606:3606:5894:5894:4883:4883:3092:3092:2335:2335:2335:4130:3107:2084:3877:3877:3879:3879:3879:4130:4130:3107:2084:3877:4655:4655:4655:3634:3634:4148:4148:8246:8246:2616:2616:2616:4923:3634:4148:5950:1343:8246:3905:3905:2371:4923:3141:3141:5950:1343:8246:8246:2371:2371:4923:5950:5950:5950: Since this variant didn't have a wt in the archive, I decided to solve it and write a walkthrough. After going through SudokuSolver's log I noticed that the Killer triple in step 2f was unnecessary since the elimination could also be achieved by looking at the Outies of R1234 = 14(3). So all in all this Assassin would be of rating (Hard) 1.0, I think. A58 V1.5 Walkthrough: 1. R6789 a) Innies N7 = 8(2) = [17/62] b) 15(2): R8C4 <> 6,7 c) Innies N9 = 10(2) <> 5 d) Innies R6789 = 7(2) <> 7,8,9; R6C2 <> 3 e) Innies+Outies R6789: 8 = R5C23 - R6C1 -> R5C23 <> 8 (IOU @ N4) f) 8(2): R5C1 <> 1
2. R1234 a) Innies N1 = 9(2) <> 9, R3C3 <> 8 b) Innies N3 = 15(2) = {69/78} c) Innies R1234 = 14(2) = [59/68/95] d) 12(2): R5C9 = (347) e) Innies+Outies R1234: 2 = R5C78 - R4C9 -> R5C78 <> 2 (IOU @ N6) f) ! 16(3) <> 8 because R4C8 <> 1,7,8 and (358) is a Killer triple of 12(2)
3. R456+N19 a) 8 locked in 15(3) @ R5C4 @ R5 = 8{16/25/34} <> 7,9 -> 8 locked for N5 b) Innies+Outies N14: R4C4 = R6C3 <> 8 c) Innies+Outies N69: 3 = R6C6 - R4C7 -> R6C6 <> 1,2,3 d) 8 locked in R4C123 @ N4 for R4 e) Innies R1234 = 14(2) = {59} locked for R4+N6 f) 9 locked in 15(3) @ R5 @ R5C2 = 9{15/24} -> 9 locked for N4 g) 12(2) @ N6 <> 4 h) 19(3) = 8{47/56} i) Innies R6789 = 7(2): R6C1 <> 1 j) 8(2) <> 7 k) 9(3) = 2{16/34} -> 2 locked for R4
4. R789+N4 a) 5(2) = {14} locked for C1+N7 because (23) is a Killer pair of 8(2) b) Innies N7 = 8(2) = {26} -> R7C3 = 2, R8C3 = 6 c) Cage sum: R8C4 = 9 d) 19(3) @ N8 = 8{47/56} -> 8 locked for C6 e) 10(2) = 2{17/35} f) Innies N9 = 10(2) = {19/46} because (37) is a Killer pair of 10(3) g) 12(2) <> 3
5. R456+C6 a) Hidden triple (123) @ R345C6 @ C6 -> R345C6 = {123} b) Hidden Single: R5C4 = 8 @ C4 -> R5C56 = 7(2): R5C5 <> 1,2,3 c) 7 locked in R5C789 @ R5 for N6 d) 18(3) <> 1 e) Innies+Outies N14: R6C3 = R4C4 = (347) f) 18(3) can only have one of (347) and R6C3 = (347) -> R6C45 <> 3,4,7
6. C789 ! a) Innies N69 = 11(3) = {128/146/236} <> 9 b) ! Killer pair (68) locked in Innies N3 + Innies N69 for C7 c) 16(3) @ R4C8: R5C8 <> 1 because R5C7 <> 6,9 d) 16(3) @ R6: R7C8 <> 1,4 because 9 only possible there e) 16(3) @ R4C8 <> 1 because R7C8 = (69) blocks {69} @ R45C8 f) 16(3) @ R4C8 = 4{39/57} because R4C8 = (59) -> 4 locked for R5+N6 g) Innies N9 = [19/46] h) Innies N69 = 11(3) = 1{28/46} because R7C7 = (14) -> 1 locked for C7 i) Innies+Outies N69: 3 = R6C6 - R4C7 -> R6C6 <> 6,7
7. N45 a) Hidden Single: R6C3 = 7 @ R6, R4C4 = 7 @ N5 b) 12(3) = {147} -> 1,4 locked for C3 c) 3 locked in 8(2) @ N4 = {35} locked for C1+N4 d) 15(3) = {249} -> R5C3 = 9, R5C2 = 2, R6C2 = 4 e) 19(3) = {568} -> R3C2 = 5, {68} locked for R4 f) 15(3) @ N5 = {168} -> R5C5 = 6, R5C6 = 1 g) 18(3) = {279} -> R6C4 = 2, R6C5 = 9 h) 14(3) = {158} -> R6C6 = 5, R7C7 = 1, R6C7 = 8 i) R4C3 = 1, R3C3 = 4, R4C6 = 3
8. N236 a) R3C6 = 2 -> R3C57 = 12(2) = [39] -> R3C5 = 3, R3C7 = 9 b) 10(3) = {145} -> R3C4 = 1, {45} locked for C4+N2 c) Innies N3 = 15(2) = {69} -> R2C7 = 6 d) 7(2) <> 1 e) 9(2) = {18} -> R2C3 = 8, R2C2 = 1 f) Killer pair (35) locked in 7(2) + 12(2) for C9
9. N9 a) Hidden Single: R9C3 = 5 @ N7 b) 5 locked in 12(2) @ N9 = {57} locked for R8+N9
10. Rest is singles.
Rating: 1.25
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