Thanks Manu. Just like JFFK2 this one lived up to its name. I particularly enjoyed using the 37(8) cage.
I'll rate JFFK3 at Hard 1.0.
Here is my walkthrough.
Prelims
a) R2C12 = {49/58/67}, no 1,2,3 b) R34C1 = {59/68} c) R34C2 = {19/28/37/46}, no 5 d) R7C45 = {19/28/37/46}, no 5 e) R1C123 = {126/135/234}, no 7,8,9 f) R2C567 = {389/479/569/578}, no 1,2 g) R678C7 = {128/137/146/236/245}, no 9 h) 30(4) cage at R5C3 = {6789}, CPE no 6,7,8,9 in R6C1 i) 37(8) cage at R4C6 = {12345679}, no 8
1. 45 rule on R1 2 innies R1C89 = 1 outie R2C4 + 12 1a. Max R1C89 = 17 -> max R2C4 = 5 1b. Min R1C89 = 13, no 1,2,3
2. 45 rule on R9 2 innies R9C59 = 1 outie R8C4 + 13 2a. Max R9C59 = 17 -> max R8C4 = 4 2b. Min R9C59 = 14, no 1,2,3,4
3. 45 rule on N14 1 outie R6C4 = 3 innies R5C12 + R6C1 + 3 3a. Min R5C12 + R6C1 = 6 -> R6C4 = 9, R5C12 + R6C1 = 6 = {123}, locked for N4 and 21(5) cage at R5C1, clean-up: no 7,8,9 in R3C2, no 1 in R7C5 3b. R5C3 + R6C23 = {678}, locked for N4, clean-up: no 6,8 in R3C1, no 2,3,4 in R3C2
4. Naked pair {59} in R34C1, locked for C1, clean-up: no 4,8 in R2C2 4a. Naked triple {459} in R4C123, locked for R4 4b. 9 in 37(8) cage at R4C6 locked in R7C6 + R8C56 + R9C5, locked for N8, clean-up: no 1 in R7C4 4c. 4 in 37(8) cage at R4C6 locked in R5678C6 + R8C5, CPE no 4 in R9C6
5. R5C12 + R6C1 = 6 -> R78C1 = 15 = {78}, locked for C1 and N7, clean-up: no 5,6 in R2C2
6. 45 rule on C123 2 remaining outies R89C4 = 8 = [17/26/35]
7. R1C123 = {135/234} (cannot be {126} which clashes with R3C2), no 6, 3 locked for R1 and N1
8. R2C567 = {389/578} (cannot be {479} which clashes with R2C2, cannot be {569} which clashes with R2C12), no 4,6, 8 locked for R2 8a. Killer pair 7,9 in R2C2 and R2C567, locked for R2
9. R234C3 = {179/269/458} (cannot be {278/467} which clash with R56C3) 9a. 9 of {179/269} must be in R4C3 -> no 9 in R3C3 9b. 7,8 of {179/458} must be in R3C3 -> no 1,4,5 in R3C3
10. 45 rule on C89 1 outie R5C7 = 1 innie R9C8 + 6, R5C7 = {789}, R9C8 = {123}
11. 45 rule on N58 1 remaining innie R9C6 = 1 outie R4C7 + 1, no 3 in R4C7, no 1,5,6 in R9C6 11a. 3 in 37(8) cage at R4C6 locked in R5678C6 + R8C5, CPE no 3 in R9C6, clean-up: no 2 in R4C7 11b. 2 in 37(8) cage at R4C6 locked in R45678C6 + R8C5, CPE no 2 in R9C6, clean-up: no 1 in R4C7
12. R9C678 = {138/147/237} (cannot be {129/156/246/345} because R9C6 only contains 7,8), no 5,6,9 12a. R9C6 = {78} -> no 7,8 in R9C7
13. Hidden killer pair 1,2 in R9C123 and R9C78 for R9 -> R9C123 must contain one of 1,2 13a. R89C4 = 8 (step 6) -> R9C123 = 12 = {156/246} (cannot be {129} which clashes with R9C678, cannot be {345} which doesn’t contain 1 or 2), no 3,9, 6 locked for R9 and N7, clean-up: no 2 in R8C4 (step 6)
14. 3 in R9 locked in R9C78, locked for N9 14a. R9C678 (step 12) = {138/237}, no 4 14b. 4 in R9 locked in R9C123 (step 13a) = {246} (only remaining combination), locked for R9 and N7, clean-up: no 8 in R5C7 (step 10) 14c. Naked pair {13} in R9C78, locked for N9, R9C6 = 8 (step 14a), R4C7 = 7 (step 11), clean-up: no 2 in R7C45 14d. R5C7 = 9, R9C8 = 3 (step 10), R9C7 = 1 14e. 2 in N8 locked in R7C6 + R8C56, locked for 37(8) cage at R4C6
15. R7C45 = {46} (cannot be {37} which clashes with R89C4), locked for R7 and N8 15a. 4,6 in 37(8) cage at R4C6 locked in R456C6, locked for C6 and N5
16. 45 rule on N5 3 remaining innies R456C6 = 11 = {146} (only remaining combination), locked for C6, N5 and 37(8) cage at R4C6
17. R8C4 = 1 (hidden single in N8), R9C4 = 7 (step 6)
18. R678C7 = {236/245}, no 8, 2 locked for C7 18a. 3 of {236} must be in R6C7 -> no 6 in R6C7 18b. 8 in C7 locked in R123C7, locked for N3
19. 18(3) cage in N9 = {279/459/567} (cannot be {468} because R9C9 only contains 5,9), no 8
20. 8 in N9 locked in R7C89, locked for R7 and 29(5) cage at R5C9 -> R78C1 = [78]
21. 9 in N3 locked in R13C9, locked for C9 -> R9C9 = 5, R7C7 = 2, R7C89 = [98], R9C5 = 9, clean-up: no 4 in R8C89 (step 19) [9 in N3 locked in R13C9 has been there since step 14d but I’ve only just spotted it] 21a. R8C7 = 4 (hidden single in N9), R6C7 = 5 (step 18) 21b. Naked triple {368} in R123C7, locked for N3
22. R7C89 = [98] = 17 -> R5C9 + R6C89 = 12 = {246} (only remaining combination), locked for N6 22a. Naked pair {18} in R45C8, locked for C8 and N6 -> R4C9 = 3 22b. Naked pair {28} in R4C45, locked for R4 and N5 -> R45C8 = [18], R4C6 = 6
23. 7 in N5 locked in R56C5, locked for C5 23a. R2C26 = {79} (hidden pair in R2)
24. R4C9 = 3 -> R123C9 = 17 = {179} (only remaining combination) -> R2C9 = 1, R13C9 = {79}, locked for C9 and N3 -> R8C89 = [76] 24a. R6C8 = 6 (hidden single in N6)
25. Naked pair {78} in R6C23, locked for R6 and N4 -> R5C3 = 6, R6C5 = 3, R5C45 = [57]
26. Killer pair 4,5 in R1C123 and R1C8, locked for R1
27. R1C89 (step 1) = R2C4 + 12 27a. Max R1C89 = 14 -> R2C4 = 2, R1C89 = 14 = [59], R3C9 = 7, R12C6 = [79], R4C45 = [82], R1C4 = 6, R1C57 = [18], R23C7 = [36], R3C2 = 1, R4C2 = 9 , R34C1 = [95], R4C3 = 4, R2C2 = 7, R2C1 = 6
and the rest is naked singles
Last edited by Andrew on Fri Jul 29, 2011 1:09 am, edited 2 times in total.
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