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Para
 Post subject: Texas Jigsaw Killer 34
PostPosted: Wed Jul 23, 2008 11:02 am 
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Hi all

Just continueing one more of Ruud's legacies. I always enjoyed them. Don't know if ayone else is interested. But just giving it a try. If anyone else feels like making one some time, go ahead. Otherwise I'll try posting one in some random time interval.
First an easy one to get started again.

Texas Jigsaw Killer 34

Image

Moderator note: The link to Para's diagram stopped working. I've replaced it by a diagram from SudokuSolver.

Code String:
SumoCueV1=17J0=34J0+1J0+1J1=11J1+4J1=12J2+6J2=13J2+0J3+0J0+1J1+1J1+4J1=15J1+14J4+6J4+8J2=20J3+18J0+18J5=19J5+4J4+14J1=13J1+24J4+8J2+18J3=10J0+18J5+21J6=21J4=13J4+32J4+32J4=14J2=11J3+28J0+28J5+21J6+31J4=15J6=21J2+42J2+35J2+36J3=13J0+46J5+46J6+31J6+41J7=22J7+42J7+51J7=11J3=9J0+55J5=12J6=21J8+41J6+51J7+51J7+51J7+54J3=19J5+57J5+57J6+58J8=20J8+68J6=19J8+70J7+54J3+64J3+64J5+58J8+58J8+68J8+68J8+68J8+70J7

Have fun!

Para

[edit] Moved on suggestion. Just figured it get better exposure in the Killer Section.
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Glyn
PostPosted: Wed Jul 23, 2008 12:33 pm 
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Nice one Para. I kept losing track of the 'K' in TJK, lots of fun things happening there.

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Ed
PostPosted: Fri Aug 15, 2008 12:11 pm 
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Para wrote:
First an easy one to get started again.
Thanks for getting these started again Para. :applause: No way was it easy for me. Must be out of practice. I'd have to give it a 1.25 rating with my step 13 and 14.

SudokuSolver V3.2.1 gives it a score of 0.88 so I've missed something important. [edit: v3.6.3 gives it a score of 1.25 so a massive increase.] [Thanks to Andrew for helping with some inaccuracies in this walkthrough]

Thanks again.
Ed

TJK 34 Walkthrough

Prelims
i. 34(5)r1c2 = {46789}
ii. 11(4)r1c5 = {1235}
iii. 13(2)r3c7: no 1..3
iv. 10(3)r4c2: no 8 or 9
v. 21(3)r4c5: no 1,2 or 3
vi. 14(2)r4c9 = {59/68}
vii. 11(2)r5c1: no 1
viii. 21(3)r5c7: no 1,2 or 3
ix. 11(3)r7c1: no 9
x. 9(2)r7c2: no 9
xi. 19(3)r8c2: no 1

1. "45" on c1234: 1 innie r9c4 = 5

2. "45" on c6789: 1 innie r1c6 = 3

3. Naked triple {125} in r123c5: all locked for c5 & no 1, 2 or 5 in r3c67
3a. no 8 in r3c8

4. 21(3)r4c5 = 8{49/67}
4a. 8 locked for c5

5. 21(4)r7c5 must have 3 for c5 = 35{49/67}
5a. 3 locked for Nr7c5

6. "45" Nr1c7: 2 outies r26c8 = h15(2) = {69/78}
6a. min. r2c8 = 6 -> max r1c78 = 6 (no 6..9)
6b. 12(3)r1c7 = {129/147/156/246}(no 8)
6c. no 7 r6c8 (h15(2))

7. 3 in Nr1c7 only in 13(3)r1c9 = 3{19/28/46}(no 5 or 7)

8. 7 in Nr1c7 only in r5c78
8a. 7 locked for r5
8b. no 4 r6c1

9. 21(3)r5c7 must have 7 = 7{59/68}
9a. 9 in {579} must be in r6c8 -> no 9 in r5c78

10. 9 in Nr1c7 is only in c9: 9 locked for c9

11. "45" on Nr7c5: 1 outie r8c7 + 4 = 1 innie r8c8
11a. = [26/37/48/59]
11b. r8c7 = (2..5), r8c8 = (6..9)

12. "45" on c9: 1 outie r8c8 - 1 = 2 innies r67c9
12a. -> max r67c9 = 8 (no 8)

13. no 7 in r8c8 because of 7's in c9. Like this.
13a. 7 in r89c9 -> no 7 in r8c8 (same cage)
13b. 7 in r67c9, r8c8 must be greater than 7 (step 12)
13c. -> no 7 in r8c8
13d. -> no 3 in r8c7 (i/o Nr7c5 = -4)

14. "45" on Nr1c7 + Nr6c6: 2 outies r2c8 + r8c8 - 11 = 1 innie r6c6
14a. r2c8 + r8c8 = [79] and r6c6 = 5! All others blocked.
14b. ([76] blocked by 21(3)r5c7 = {67}8 using h15(2)r26c8;[68] blocked by no 3 in innie r6c6; {69/[78]} clashes with h15(2)r26c8; [98] = 17 blocked by 6 forced into both r6c68 in innie r6c6 and h15(2))
14c. no 4 or 6 in r3c7
14d. no 6 in r5c1

15. r6c8 = 8 (h15(2))
15a. no 3 r5c1

16. r8c7 = 5 (i/o Nr7c5 = -4)

17. r5c78 = [76] (last permutation)

18. 14(2)r4c9 = {59}: both locked for c1 and Nr1c7

19. r1c78 = 5 = {14}: both locked for r1 & Nr1c7

20. Naked triple {238} in r123c9: locked for c9

21. r89c9 = 10 = {46}: both locked for Nr6c6

22. Naked pair {17} in r67c9: both locked for Nr6c6

23. 9 in Nr6c6 only in c7: 9 locked for c7
23a. r3c78 = [85]

24. LoL c1: r1c1 = r9c2 -> no 5 in r1c1, no 3 or 4 in r9c2

25. r1c5 = 5 (hsingle r1)

26. 7 & 8 which must be in 34(5) are only in r1: both locked for r1 and 8 locked for Nr1c1
26a. r1c9 = 2
26b. no 2, 7 or 8 in r9c2 (lol c1)
26c. no 1 r7c3

27. r23c9 = [83]

28. 15(3)r2c6 cannot have 1 since no 5 or 8 is available
28a. r2c5 = 1 (hsingle Nr1c4)
28b. r3c5 = 2
28c. r2c6 = 2 (hsingle Nr1c4)
28d. 15(3)r2c6 = [2][49/67]: r2c7 = (46), r3c6 = (79)

29. Naked triple {469} r2c347: all locked for r2 and 9 locked for Nr1c4 & 34(5)r1c2
29a. r3c6 = 7, r2c7 = 6

30. r1c1 = 9 (hsingle r1)
30a. r9c2 = 9 (LoL c1)

31. r789c5 = 16 = {367}: locked for c5 and Nr7c5

32. r7c6 = 6 (hsingle c6)
32a. no 3 in 9(2)r7c2
32b. r5c6 = 4 (cage sum)
32c. no 7 r6c1

Rest unfolds from here.

u9 u8 u7 u6 u5 u3 u4 u1 u2
u3 u5 u9 u4 u1 u2 u6 u7 u8
u4 u1 u6 u9 u2 u7 u8 u5 u3
u7 u6 u2 u8 u4 u9 u1 u3 u5
u5 u3 u1 u2 u8 u4 u7 u6 u9
u6 u2 u4 u7 u9 u5 u3 u8 u1
u8 u4 u5 u1 u3 u6 u9 u2 u7
u2 u7 u8 u3 u6 u1 u5 u9 u4
u1 u9 u3 u5 u7 u8 u2 u4 u6

I wonder what Jsudoku is trying to tell me ;)
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Jean-Christophe
PostPosted: Fri Aug 15, 2008 5:46 pm 
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Ed wrote:
u9 u8 u7 u6 u5 u3 u4 u1 u2
u3 u5 u9 u4 u1 u2 u6 u7 u8
u4 u1 u6 u9 u2 u7 u8 u5 u3
u7 u6 u2 u8 u4 u9 u1 u3 u5
u5 u3 u1 u2 u8 u4 u7 u6 u9
u6 u2 u4 u7 u9 u5 u3 u8 u1
u8 u4 u5 u1 u3 u6 u9 u2 u7
u2 u7 u8 u3 u6 u1 u5 u9 u4
u1 u9 u3 u5 u7 u8 u2 u4 u6

I wonder what Jsudoku is trying to tell me ;)


Ruud wrote:
Sudoku Puzzle Progress (.sdx)
This format contains a line for each row in the grid. A blank separates the cells. For unsolved cells, the candidates are listed without separating space. Solved cells are preceded by u when they are placed by the user, the givens have no prefix.

That's the format used for "Copy Candidates". You could "Copy Solution" instead.

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"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." Sherlock Holmes.
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Børge
PostPosted: Tue Dec 08, 2009 8:55 pm 
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Images with udosuk Style Killer Cages:
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When I was discussing a later TJK with Ed, he suggested that I should post my walkthrough on the forum, rather than just in the archive entries, to give the TJKs more prominence.  I'm therefore posting my walkthroughs for all the TJKs from TJK 34 onward; the ones which were first posted on this site - I solved them earlier this year, but am only now looking at how others solved them.

Ed commented on the SS score at the time.  The current SS score (1.25 from SS V3.6.2) agrees with Ed’s evaluation of this puzzle.  SS scoring for killers has evolved a lot since this puzzle was posted, thanks to hard work by Ed and Richard; it’s very likely that it’s also improved for jigsaw killers.

Here is my walkthrough for TJK 34:  
Thanks Ed for correcting some typos.

Prelims

a) R3C78 = {49/58/67}, no 1,2,3
b) R45C9 = {59/68}
c) R56C1 = {29/38/47/56}, no 1
d) R7C23 = {18/27/36/45}, no 9
e) 19(3) cage at R3C4 = {289/379/469/478/568}, no 1
f) 10(3) cage at R4C2 = {127/136/145/235}, no 8,9
g) 21(3) cage at R4C5 = {489/579/678}, no 1,2,3
h) 21(3) cage at R5C7 = {489/579/678}, no 1,2,3
i) 11(3) cage at R7C1 = {128/137/146/236/245}, no 9
j) 19(3) cage at R8C2 = {289/379/469/478/568}, no 1
k) 19(3) cage at R8C8 = {289/379/469/478/568}, no 1
l) 11(4) cage at R1C5 = {1235}
m) 34(5) cage at R1C2 = {46789}

1. 45 rule on C1234 1 innie R9C4 = 5, placed for NR7C5
1a. 1 in C4 only in R678C4, locked for disjoint NR4C4, no 1 in R57C6 + R8C7
1b. 1 in R5 only in R5C23, locked for 10(3) cage at R4C2, no 1 in R4C2

2. 45 rule on C6789 1 innie R1C6 = 3
2a. Naked triple {125} in R123C5, locked for C5
2b. Naked triple {125} in R123C5, CPE no 1,2,5 in R3C67, clean-up: no 8 in R3C8
2c. R12C5 + R2C6 = {125} (hidden triple in NR1C4)

3. 3 in NR1C7 only in R23C9, locked for C9
3a. 13(3) cage at R1C9 = {139/238/346}, no 5,7
3b. 7 in C9 only in R6789C9, locked for NR6C6

4. 21(3) cage at R4C5 = {489/678}, 8 locked for C5
4a. 3 in C5 only in R789C5, locked for NR7C5

5. 45 rule on NR1C7 2 outies R26C8 = 15 = [69/78/96]
5a. Min R2C8 = 6 -> max R1C78 = 6, no 6,7,8,9 in R1C78

6. 7 in NR1C7 only in R5C78, locked for R5, clean-up: no 4 in R6C1
6a. 21(3) cage at R5C7 = {579/678}, no 4
6b. Hidden killer triple 1,2,4 in R1C78 + 13(3) cage at R1C9 for NR1C7, 13(3) cage (step 3a) contains one of 1,2,4 -> R1C78 = {124}

7. 45 rule on NR7C5 1 innie R8C8 = 1 outie R8C7 + 4, R8C8 = {6789}, R8C7 = {2345}

8. 1,2 in NR7C5 only in R8C6 + R9C678, locked for 20(5) cage at R8C6, clean-up: no 6 in R8C8 (step 7)
8a. 20(5) cage = {12368/12458/12467} (cannot be {12359} because 3,5 only in R8C7), no 9
8b. R26C8 = 15 (step 5) -> min R268C8 = 22, must contain 9, locked for C8, clean-up: no 4 in R3C7

9. 19(3) cage at R8C8 = {289/469/478} (cannot be {568} which clashes with R45C9), no 5

10. 45 rule on R12 3 outies R3C569 = 12
10a. Min R3C56 = 5 -> no 8,9 in R3C9

11. 45 rule on R6789 3 innies R6C158 = 1 outie R5C6 + 19
11a. Max R6C158 = 24 -> max R5C6 = 5
11b. Min R5C6 = 2 -> min R6C158 = 21, no 2,3 in R6C1, clean-up: no 8,9 in R5C1

12. 45 rule on R123 2 outies R4C13 = 1 innie R3C4
12a. Min R4C13 = 3 -> min R3C4 = 3
12b. Max R4C13 = 9, no 9 in R4C13

13. 45 rule on R789 1 innie R7C6 = 2 outies R6C79 + 2
13a. Min R6C79 = 3 -> min R7C6 = 5
13b. Max R6C79 = 7, no 7,8,9 in R6C79

14. 2 in C4 only in R45678C4, locked for disjoint NR4C4, no 2 in R5C6
14a. R6C158 = R5C6 + 19 (step 11)
14b. R5C6 = {45} -> R6C158 = 23,24 = {689/789}, no 4,5, 8,9 locked for R6, clean-up: no 6 in R5C1
14c. 13(3) cage at R6C2 = {157/247/256/346}
14d. Killer pair 6,7 in R6C158 and 13(3) cage, locked for R6

15. 15(3) cage at R5C6 = {159/249/258/456} (cannot be {168/267} because R5C6 only contains 4,5), no 7
15a. Max R56C6 = 9 -> min R7C6 = 6

16. 13(3) cage at R1C9 (step 3a) = {139/238/346}, R45C9 = {59/68} -> 13(3) cage + R45C9 must contain 9, locked for C9 and NR1C7

17. 3 in NR6C6 only in 22(5) cage at R6C7 = {12379/13459/13468/13567} (cannot be {23458/23467} which clash with 19(3) cage at R8C9), 1 locked for NR6C6

18. 45 rule on NR6C6 2 innies R6C68 = 1 outie R8C8 + 4, IOU no 4 in R6C6

19. Hidden killer triple 2,5,8 in R6C6, 22(5) cage at R6C7, R6C8 and 19(3) cage at R8C8 for NR6C6, R6C6 = {25}, 22(5) cage contains one of 2,5,8 -> 19(3) cage cannot contain more than one of 2,8 in R89C9
19a. 19(3) cage at R8C8 (step 9) = {469/478} (cannot be {289} which contains both of 2,8 in R89C9), no 2, 4 locked for C9 and NR6C6
19b. 13(3) cage at R1C9 (step 3a) = {139/238}, no 6

20. 4 in NR1C7 only in R1C78, locked for R1
20a. R1C78 = {14/24} -> R2C8 = {67}, clean-up: no 6 in R6C8 (step 5)
20b. 21(3) cage at R5C7 (step 6a) = {579/678}
20c. R6C8 = {89} -> no 8 in R5C78
20d. 34(5) cage at R1C2 = {46789}, 4 locked for R2 and NR1C4

21. 8 in NR1C7 only in R1245C9, locked for C9
21a. 19(3) cage at R8C8 (step 9) = {469/478}
21b. 8,9 only in R8C8 -> R8C8 = {89}, clean-up: no 3 in R8C7 (step 7)
[This elimination could have been obtained a bit earlier using Law of Leftovers for C6789, but I’m avoiding using it for this puzzle which has a fairly low SS score.]
21c. Naked pair {89} in R68C8, locked for C8

22. 22(5) cage at R6C7 (step 17) = {12379} (only remaining combination, cannot be {13567} which clashes with R89C9) -> R7C9 = 7, R7C7 = 9, R6C8 = 8, R2C8 = 7 (step 5), placed for NR2C7, R8C8 = 9, clean-up: no 6 in R3C7, no 4 in R3C8, no 3 in R5C1, no 2 in R7C23
22a. R6C6 = 5 (hidden single in NR6C6), R5C6 = 4, R7C6 = 6 (cage sum), both placed for disjoint nonet at R4C4, R8C7 = 5, clean-up: no 7 in R6C1, no 3 in R7C23

23. R6C158 = R5C6 + 19 (step 11)
23a. R5C6 = 4 -> R6C158 = 23 = {689} -> R6C5 = 9, placed for NR4C4, R6C1 = 6, placed for NR2C1, R5C1 = 5, R5C78 = [76], R5C5 = 8, placed for NR2C7, R4C5 = 4 (cage sum), R5C9 = 9, R4C9 = 5, R3C7 = 8, placed for NR1C4, R3C8 = 5, R7C5 = 3

24. 13(3) cage at R1C9 (step 3a) = {238} (only remaining combination), locked for C9 and NR1C7 -> R6C9 = 1, R7C8 = 2, R6C7 = 3
24a. Naked pair {14} in R1C78, locked for R1

25. R7C23 = {45} (only remaining combination, cannot be {18} which clashes with R7C4), locked for R7
25a. Naked pair {45} in R7C23, CPE no 4 in R8C2

26. 19(3) cage at R3C4 = {289/379} (cannot be {469/478} because R5C4 only contains 2,3) -> R3C4 = 9, placed for NR3C3, R4C4 = {78}
26a. R3C6 = 7, placed for NR1C4, R2C67 = 8 = [26], 2 placed for NR1C4, R12C5 = [51] , R1C4 = 6, R2C34 = [94]

27. R3C5 = 2, placed for NR2C7, 13(3) cage at R4C6 = [913]

28. R2C2 = 5 (hidden single in R2), R12C1 = 12 = [93], 3 placed for NR2C1, R7C23 = [45]
28a. 11(3) cage at R7C1 = {128} (only remaining combination), locked for C1 and NR2C1 -> R45C1 = [47], 7 placed for NR2C1, R9C2 = 9, R4C4 = 8, R5C4 = 2 (cage sum)

29. R6C4 = 7, R78C4 = [13], R8C3 = 8 (cage sum)

and the rest is naked singles, without using the nonets.


					



						

						

							
							
							
						

						

							
				

				

					
		


		


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