Para wrote:
It's not that hard
Yes it is! Absolutely perfect hard. Had to use many of the fun jigsaw techniques that I find hard to see; LoL, weird CPE and cage blocks. But nothing outrageously technically difficult. Really enjoyed it. I'll give it a rating of Hard 1.25 since it took me a long, long time to finish. Didn't find the cracking move till step 31a.
Para wrote:
If someone else feels like making one too, go ahead.
Can't be the only one keeping this up.
I really appreciate you keeping this fine tradition alive. Thanks! I'll make one before the NY.
Walkthrough for TJK 35(please let me know of any mistakes or things that could be clearer;
[edit: thanks Andrew!])
Prelims
i. 9(3)r3c2: no 7,8,9
ii. 15(2)r3c3 = {69/78}
iii. 12(2)r4c4: no 1,2,6
iv. 14(4)r4c6: no 9
v. 3(2)r5c3 = {12}
vi. 13(2)r5c7: no 1,2,3
vii. 19(3)r6c2: no 1
viii. 11(2)r6c4: no 1
ix. 19(3)r6c7: no 1
x. 8(2)r7c3: no 4,8,9
1. 3(2)r5c3 = {12}: both locked for r5 and Nr1c2
2. LOL r1234: 4 outies r5c3489 = 4 innies r3c5 & r4c567
2a. 4 outies must have 1 & 2 -> 4 innies must have 1 & 2
2b.
1,2 locked for Nr3c5
2c. no 9 in r6c45
3. "45" Nr1c1: 2 innies r2c3 & r4c1 = h15(2) = {69/78}
4. 27(5)r1c2 = {34569/34578} = 345{69/78}
4a. 3,4,5 all locked for Nr1c2
4b. r4c5 = (345)
5. "45" Nr1c1 + Nr1c2: 2 innies r4c14 = h15(2) = [69]{78} (no 9 r4c1)
5a. no 6 r2c3 (h15(2)Nr1c1)
6. "45" c1234: r46c4 = h11(2) = [7
4/8
3]
6a. r4c5 = (45)
6b. r6c5 = (78)
6c. r4c1 = (78) (h15(2))
6d. r2c3 = (78) (h15(2))
7. naked pair {78}
in r2c3+r4c1: both locked for Nr1c1
8. naked pair {78}
in r4c14: both locked for r4
9. 15(2)r3c3 = {69} ({78} blocked by r4c4)
9a. both locked for Nr1c2 & r3
10. "45" Nr1c5: r23c8 + 2 = r2c5
10a. min r23c8 = {12} = 3 -> min r2c5 = 5
10b. max. r23c8 = 7: no 7,8,9
11. LOL c6789: 2 innies r4c67 = 2 outies r12c5
11a. 2 innies must have at least 1 of 1 or 2 for LOL r1234 (step 2)
11b. -> the only place for 1 or 2 in 2 outies r12c5 is in r1c5 = (12)
11c. NOTE: this also means that r4c67 has exactly 1 of (12)
11d. no 3,4 in r12c5 -> no 3,4 in r4c67
11e. no 7,8 in r4c67 -> no 7,8 in r2c5
12. hidden pair (12) for Nr3c5 (from step 11c) -> r3c5 = (12)
13. naked pair (12) in r13c5: both locked for c5
13a. no 1,2 in r3c9 (CPE sees both r13c5)
14. LOL r1234: 4 outies r5c3489 = 4 innies r3c5 & r4c567
14a. 4 innies don't have 3,7,8 -> 4 outies cannot have them in r5c89
14b. no (56) in r5c7
15. hidden killer pair (78) in Nr2c6: r2c6 & r3c67 must have both of 7 & 8 for Nr2c6
15a. r3c67 can only have 1 of 7 or 8 because of 15(3) -> r2c6 = (78)
15b. & 15(3)r3c6 must have 7 or 8 = {168/258/267/357}(no 4,9) (can't place {348} because of r4c7)
15c. 6 in {168} must be in r4c7 -> no 1 in r4c7
16. 9 in r4 only in Nr2c6: 9 locked for that N & for 29(5)r4c8
16a. no 4 in r5c7
17. naked pair {78} in r2c36: both locked for r2
18. hidden killer pair (78) in r3: r3c67 has at most one of 7/8 -> r3c9 = (78)
19. 15(3)r2c5: min. r2c6 + r3c5 = [71] = 8 -> max. r2c5 = 7 (no 9)
20. "45" Nr1c5: r23c8 + 2 = r2c5
20a. -> r23c8 = 3/4 = 1{2/3}
20b. 1 locked for c8 & Nr2c6 & 16(4)r2c7
20c. r23c8 & r3c9 = 10/11/12 -> r2c7 = (456)
21. "45" Nr1c5: 3 innies r2c57 & r3c9 = h18(3) = {468/567} (only valid combinations)
21. 6 locked for r2 & Nr1c5
22. r1c1 = 6 (hsingle r1)
23. 9 in Nr1c1 only in r2: 9 locked for r2
23a. 21(4)r1c1 = 69{15/24}(no 3)
24. "45" r123: r3c2 + 1 = r4c7
24a. NOTE: i/o [12] blocked by r3c5 = (12) which sees both r3c2 & r4c7!
24b. r3c2 = (45)
24c. r4c7 = (56)
25. 3 in Nr1c1 only in r4: 3 locked for r4
26. 3 in r3 only in Nr2
c6: 3 locked for that N
27. 1 & 2 in r1 only in Nr1c5: no 1 or 2 in r2c9
28. hidden killer pair (12) in r2: r2c12 must have 1 of 1/2 for r2
28a. 21(4)r1c1 = 69{15/24} -> no 1 or 2 in r3c1
29. naked pair (45) in r3c12: both locked for r3 & Nr1c1
30. hidden pair (12) in Nr3c5 -> r4c6 = (12)
30a. CPE -> no 2 in r3c6
31. 15(3)r2c5 = {168/258/267} = [2/8..]
31a. 15(3)r3c6 = {267/357}(no 8) (NOTE: {258} = {28}[5] clashes with 15(3)r2c5 (step 31))
31b. 7 locked for r3 & Nr2c6
32. r3c9 = 8
32a. 16(4)r2c7 = 8{125/134} (no 6)
33. r2c6 = 8
34. r2c5 = 6 (hsingle r2)
34a. r3c5 = 1 (cage sum)
35. r1c5 & r4c6 = 2
36. naked pair {13} in r4c23: 1 locked for Nr1c1
36a. r3c2 = 5 (cage sum)
36b. r4c7 = 6 (i/o r1234)
36c. r3c67 = 9 = [72]
36d. r23c8 = [13] -> r2c7 = 4
37. r2c3 = 7
37a. r34c1 = [48]
37b. r4c45 = [75]
38. r6c4 = 4 (h11(2)r46c4)
38a. r6c5 = 7
39.
5&6 in Nr2c6 only in r5:
5&6 locked for r5
39a. CPE: no
5,6 in r6c8
40. r1c5 = 2
40a. r1c67 = 10 = {19/37) (no 5)
41. r4c89 = {49}: 4 locked for Nr2c6
41a. no 9 in r5c7
41b. r5c9 + r6c89 = 16
41c. max. r56c9 = {56} = 11 -> min. r6c8 = 7
41d. r6c8 = 8
41e. r67c9 = 8 = [53/62] (r6c9 = (23)
42. r9c8 = 2 (hsingle Nr5c6)
43. 4 in Nr5c1 only in c2: locked for c2
43a. r1c3 = 4 (hsingle r1)
44. 8 in Nr3c5 only in c5: locked for c5
45. CPE on 8s in Nr7c1: no 8 in r8c4
46. 8 in Nr5c1 only in c2: 8 locked for c2
46a. r1c35 = [38]
46b. r2c4 = 5
46c. no 3 in r7c3
47. r2c9 = 3
47a. r1c89 = 12 = {57}: 7 locked for r1
48. r6c9 = 2
48a. r5c9 = 6 (cage sum)
49. r5c78 = [85]
49a. r5c56 = [34]
50. naked pair (79) in r5c12: both locked for Nr5c1
50a. r6c1 = 1 (cage sum)
51. r6c23 = [69] -> r7c2 = 4 (cage sum)
52. "45" c1: 3 outies r258 = 19 = [298]
53. 8(2)r7c3 = [53] (last permutation)
54. r6c67 = [53]
54a. r7c67 = 16 = [97]
rest is singles and cage sums
cheers
Ed