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sudokuEd
Grandmaster

Joined: 19 Jun 2006
Posts: 257
Location: Sydney Australia

Posted: Sat Apr 21, 2007 7:54 am    Post subject: Texas Jigsaw Killer 28

 Ruud wrote: Is this a V2?
It was a great challenge - took ages to find the key. On the 3rd attempt finally found the way without chains. I here-by declare my love for LoL!!

Please let me know of any improvements/short-cuts to this walk-through.
Cheers. Ed
[edit: thanks to mike and Andrew for some corrections]

Texas Jigsaw Killer 28
1. "45" r1234: r5c58 = 16 = {79}: locked for r5
1a. 17(3)r4c7: must have 7/9 -> {368/458} blocked

2. Law of Leftovers (LOL) on r1234: 2 X 6 cell Leftovers. Below: {79} locked -> {79} locked above the line in 21(3)r2c1 or 10(3)r4c1
2a. 7 and 9 locked for n4

3. 14(3)r5c2 cannot have 7 or 9 = {158/248/356} = [4/5,2/5..]

4. 10(3)r4c1 = {127/136}(no 4,5)({145/235} blocked by 14(3))
4a. = 1{27/36} = [6/7..]
4b. 1 locked r4, n4

5. "45"n5(r4c6): r4c69 = 13 = h13(2)r4c6 = {49/58}({67} blocked by 10(3)r4c1step 4a)
5a.h13(2) = [5/9..]

6. 17(3)r4c7 = {179/269/278/467}(no 3) ({359} blocked by h13(2))

7. 3 in N5 only in 15(4)r5c9 = 3{129/147/156/246}(no 8)

8. r1234: 2 X 6 cell Leftovers. Below: must have 3 and no 8 -> above: must have 3 and no 8
8a. ->21(3)r2c1: no 8 = {579}: locked n4

9. 10(3) = {136}:locked for n4 & r4

10. LoL on r1234: {579/136}:locked above the line -> must be below the line
10a. 7 and 9 locked in r5c58
10b. -> no 7 or 9 in 15(4)(r5c9)
10c. 15(4) must have the 1,3,5,6 for below the line
10d. 15(3) = {1356}
10e. {1356} locked n5

11. 17(3)r4c7 = {278}
11a. r5c8 = 7
11b. r4c78 = {28}: locked for r4

12. h13(2) = {49}: locked r4

13. deleted

14. r5c5 = 9
14a. r4c45 = {57} Locked n1

15. r3c4 = 6 (addition in 27(4)r3c4)

16. 7(2)r1c1 = {34}: locked r1, n1

17. "45" n3: r4c9 - 3 = r3c8
17a. r4c9 = 4
17b. r3c8 = 1
17c. r3c7 = 7
17d. 1 in r1 only in 12(3)n2 -> no 1 r2c4

18. r4c6 = 9

19. r3c12 = {59}: locked r3, n4
19a. r2c1 = 7

20. r23c9 = [98]

21. r3c3 = 2
21a. r2c23 = {18}:locked for r2

22. r5c2 = 2 (hsingle n4)
22a. r56c3 = {48}: locked for c3

23. r2c23 = [81]

24. r1c4 = 1 (hsingle r1)

25. r3c56 = {34}: locked for n2

26. r1c5 = 8 (hsingle n2)
26a. r2c56 = 11 = {56}: locked for r2, n2

27. r1c3 = 9, r2c4 = 2

28. 16(3)(r1c7) = {367/457} = 7{36/45}
28a.r1c6 = 7
28. r12c7 = [63/54]

29. "45" c123: r9c3 = 6

30. r4c3 = 3

31. r78c3 = {57}: Locked for n9(r7c3)

32. r789c4 = 16 = {349}: locked for c4, n9

33. r9c6 = 8 (hsingle n9)
33a. r89c5 = {12}:locked for c5

34. 24(4)r5c4 = 78{36/45} = [3/4..]:
34a. 8 locked n7(r5c4)
34a. 5(2)r9c7 = {14/23} = [3/4]
34b. Killer pair 3/4 for n7(r5c4)
34c. r8c7 = 9 (hsingle n7)

35. X-wing 8 r56c34: 8 locked r56

36. Killer pair 1/2 r9c5 and 5(2)r9c7: locked r9
36a. r89c1 = [63/54/45]

37. r7c1 = 8 (hsingle c1), r8c8 = 8 (hsingle r8)

38. r4c78 = [82]

39. r1c9 = 2 (h single r1)

40. r6c1 = 2 (h single c1)

41. r7c7 = 2 (h single n8(r5c6))

42. r8c6 = 2 (h single c6)
and the rest falls out with cage sums and singles

Last edited by sudokuEd on Sat Dec 07, 2013 8:49 pm; edited 2 times in total
Jean-Christophe
Addict

Joined: 23 Apr 2007
Posts: 92
Location: Belgium

Posted: Tue Apr 24, 2007 11:54 am    Post subject: Re: Texas Jigsaw Killer 28

 sudokuEd wrote: I here-by declare my love for LoL!!

Me too. You probably missed this one :
LoL on R123 -> {R23C1, R3C2} = {R4C45, R5C5}
Plugging with the cages -> R3C4 = 27-21 = 6

Not sure you got this one:
Innies of C123 -> R19C3 = 15 = {69|78}
LoL on C123 -> {R1789C3} = {R34C4, R45C5}
-> R78C3 = 27-15 = 12 <> {6..} (this could also be deduced with innies or outies)
-> R19C3 = {69}

All best,
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