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PostPosted: Tue Apr 02, 2019 9:21 pm 
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My first completely original (AFAIK) TJK's are now rolling off the production line, so I have started numbering them.

I have also reduced the number of colours used for cage display to 4.

TJK #100 has an SS rating of 1.0, and, please note, it is a Non-consecutive Jigsaw Killer! :!:
Attachment:
TJK-100-NC.png
TJK-100-NC.png [ 14.02 KiB | Viewed 7318 times ]

TJK-100-NC Definition:

SumoCueV1=18J2+0J2=6J4+2J4=20J4+4J4+4J4=17J5=15J3+0J2=14J2=13J2+11J2+4J4=8J5+14J5+7J5+8J3+10J2+10J2+11J2=19J4+21J4+14J5=20J5+7J5+8J3=14J8+27J8=10J1+29J1+21J4+24J5+24J5=14J3+34J3+27J8=16J8+29J1=15J1+39J1+39J1=20J1+34J3=16J3+37J8+37J8=10J6+47J6=11J7+42J1+42J1+44J3+44J3=15J8=13J6+47J6=22J6+49J7+49J7=17J9=16J9+61J9+54J8+55J6+57J6+57J6=20J7+60J9+60J9+61J9=12J9+54J8+55J6+67J7+67J7+67J7=14J7+77J7+71J9+71J9

Note: If you paste the definition into SS, you will need to click "Setup" and set the Puzzle Type to Non-consecutive

TJK-100-NC Solution:
Code:
974285163258461397631794825496137582163852749825379416582613974317946258749528631


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 Post subject: Texas Jigsaw Killer 101
PostPosted: Tue Apr 02, 2019 9:32 pm 
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TJK #101 is also NC mode, and uses the same Jigsaw layout as above, but reflected horizontally. This means that the same cage set now produces some cages that overlap Jigsaw regions, and this creates some "Law of 45" opportunities.

SS rating is 0.9.

Attachment:
TJK-101-NC.png
TJK-101-NC.png [ 12.98 KiB | Viewed 7317 times ]


TJK-101-NC Definition:

SumoCueV1=10J3+0J5=9J4+2J4=26J4+4J4+4J4=15J2=11J2+0J3=19J5=11J5+11J5+4J4=11J2+14J2+7J2+8J2+10J3+10J5+11J5=17J5+21J4+14J4=18J2+7J2+8J2=21J3+27J3=11J5+29J5+21J4+24J1+24J1=18J8+34J8+27J3=14J3+29J1=15J1+39J1+39J1=15J1+34J8=13J8+37J3+37J3=18J1+47J1=13J7+42J6+42J6+44J8+44J8=15J9=11J9+47J9=15J7+49J7+49J6=15J6=19J6+61J8+54J9+55J9+57J9+57J9=22J7+60J6+60J6+61J6=14J8+54J9+55J9+67J7+67J7+67J7=9J7+77J7+71J6+71J8

TJK-101-NC Solution:
Code:
137259486692483751375861924951637248724915863486372519869524137513748692248196375


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PostPosted: Tue Apr 02, 2019 10:31 pm 
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Printer friendly TJK #100
TJK-100-PF:
Attachment:
TJK-100-NC-PF.png
TJK-100-NC-PF.png [ 14.68 KiB | Viewed 7316 times ]


Last edited by Mathimagics on Tue Apr 02, 2019 10:34 pm, edited 1 time in total.

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PostPosted: Tue Apr 02, 2019 10:33 pm 
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Printer friendly TJK #101

TJK-101-PF:
Attachment:
TJK-101-NC-PF.png
TJK-101-NC-PF.png [ 14.16 KiB | Viewed 7316 times ]


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PostPosted: Fri Apr 19, 2019 10:30 pm 
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Posts: 1893
Location: Lethbridge, Alberta, Canada
Texas Jigsaw Killer 100 is an easy one, even though there's no overlap between jigsaw nonets and killer cages.

I solve using an Excel worksheet, but it's definitely P&P level for those who solve that way. The SS score seems a bit high.

Here is my walkthrough for Texas Jigsaw Killer 100:
Non-consecutive (NC) horizontally and vertically.

Prelims

a) R1C34 = {15/24}
b) R9C67 = {59/68}
c) 8(3) cage at R2C6 = {125/134}
d) 19(3) cage at R3C4 = {289/379/469/478/568}, no 1
e) 20(3) cage at R3C7 = {389/479/569/578}, no 1,2
f) 10(3) cage at R4C3 = {127/136/145/235}, no 8,9
g) 20(3) cage at R5C7 = {389/479/569/578}, no 1,2
h) 10(3) cage at R6C3 = {127/136/145/235}, no 8,9
i) 11(3) cage at R6C5 = {128/137/146/236/245}, no 9
j) 22(3) cage at R7C4 = {589/679}

1a. 8(3) cage at R2C6 = {125/134}, 1 locked for NR1C8
1b. 22(3) cage at R7C4 = {589/679}, 9 locked for NR6C3

2a. 45 rule on R123 3 innies R3C457 = 24 = {789}
2b. R3C45 = {79} (cannot be {78/89}, NC), locked for R3 and NR1C3, R4C5 = 3 (cage sum)
2c. R3C7 = 8 -> R4C67 = 12 = [75] (cannot be [57], NC), clean-up: no 6,9 in R9C6
2d. 8(3) cage at R2C6 = {134} -> R2C6 = 1 (NC), 3,4 locked for NR1C8
2e. Naked triple {269} in 17(3) cage at R1C8, locked for C8
NC Clean-ups:
R2C6 = 1 -> no 2 in R1C6 + R2C5
R4C5 = 3 -> no 2,4 in R4C4 + R5C5
R4C6 = 7 -> no 6,8 in R5C6
R4C7 = 5 -> no 4 in R4C8, no 4,6 in R5C7
R2C7 = {34} -> no 4 in R1C7
R3C4 = {79} -> no 8 in R2C4
R3C5 = {79} -> no 8 in R2C5
R2C5 = {456} -> no 5 in R1C5 + R2C4
8 in NR1C3 only in R1C56, locked for R1

3a. 45 rule on R789 3 innies R7C356 = 6 = {123}
3b. R7C56 = [13] (cannot be [12]/{23}, NC), R6C5 = 7 (cage sum)
3c. R7C3 = 2 -> R6C34 = 8 = [53] (cannot be [35], NC), clean-up: no 1,4 in R1C4
3d. R3C456 = [794], R2C7 = 3
3e. 22(3) cage at R7C4 = [679] (NC)
3f. Naked triple {148} in 13(3) cage at R7C2, locked for C2
3g. R4C4 = 1 -> R45C3 = 9 = [63]
3h. R4C8 = 8 -> R4C9 + R5C8 = 6 = [24]
3i. R4C12 = [49] -> R5C1 = 1 (cage sum)
3j. R6C8 = 1 -> R56C9 = 15 = {69}, locked for C9
3k. R3C3 = 1 -> R2C34 = 12 = [84]
3l. R1C3 = 4 -> R1C4 = 2
3m. R9C3 = 9, R9C7 = 6 -> R9C6 = 8
3n. R9C4 = 5 -> R89C5 = [42] (cannot be [24], NC)
3o. R5C45 = [85] -> R5C6 = 2 (cage sum)
3p. 16(3) cage at R5C2 = {268} (only remaining combination) = [682]
3q. R56C9 = [96]
3r. 20(3) cage at R5C7 = [794]
3s. 20(4) cage at R1C5 = [8516]
NC Clean-ups:
R1C3 = 4 -> no 3 in R1C2
R2C3 = 8 -> no 7 in R2C2
R2C7 = 3 -> no 2 in R2C8
R8C7 = 2 -> no 3 in R8C8

4a. R78C8 = [75], R7C9 = 4 (cage sum)

and the rest is naked singles.

Solution:
9 7 4 2 8 5 1 6 3
2 5 8 4 6 1 3 9 7
6 3 1 7 9 4 8 2 5
4 9 6 1 3 7 5 8 2
1 6 3 8 5 2 7 4 9
8 2 5 3 7 9 4 1 6
5 8 2 6 1 3 9 7 4
3 1 7 9 4 6 2 5 8
7 4 9 5 2 8 6 3 1

A spoiler comment, well not really:
While I was setting up this puzzle in my Excel worksheet I noticed that it is 'rotationally symmetric'. As a result cells balanced about the centre, for example R2C3 and R8C7, must total 10, while R5C5 must equal 5.
I said it's not really a spoiler comment, because these properties aren't need to solve this puzzle and starting with R5C5 = 5 wouldn't make it much quicker to solve.


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PostPosted: Sat Apr 20, 2019 4:58 am 
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Joined: Wed Apr 23, 2008 6:04 pm
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Location: Lethbridge, Alberta, Canada
Texas Jigsaw Killer 101 was possibly slightly harder than TJK 100 but still a P&P puzzle.

Here is my walkthrough for Texas Jigsaw Killer 101:
Non-consecutive (NC) horizontally and vertically.

Prelims

a) R1C34 = {18/27/36/45}, no 9
b) R9C67 = {18/27/36/45}, no 9
c) 10(3) cage at R1C1 = {127/136/145/235}, no 8,9
d) 11(3) cage at R1C9 = {128/137/146/236/245}, no 9
e) 19(3) cage at R2C2 = {289/379/469/478/568}, no 1
f) 11(3) cage at R2C3 = {128/137/146/236/245}, no 9
g) 11(3) cage at R2C6 = {128/137/146/236/245}, no 9
h) 21(3) cage at R4C1 = {489/579/678}, no 1,2,3
i) 11(3) cage at R4C3 = {128/137/146/236/245}, no 9
j) 11(3) cage at R7C2 = {128/137/146/236/245}, no 9
k) 19(3) cage at R7C8 = {289/379/469/478/568}, no 1
l) 26(4) cage at R1C5 = {2789/3689/4589/4679/5678}, no 1

1a. 45 rule on R123 3 innies R3C457 = 23 = {689}, locked for R3
1b. R3C45 = {68/69} (cannot be {89}, NC), R3C7 = {89}
1b. R3C45 = {68/69} -> R4C5 = {23} (cage sum)
1c. 19(3) cage at R2C2 must contain one of 8,9 -> R2C2 = {89}
1d. 19(3) cage = {379/478} (cannot be {289} which needs both of 8,9), no 2,5
1e. 45 rule on NR1C1 3 innies R123C1 = 10 = {136/145/235} (cannot be {127} = {12}7, NC), no 7
1f. R3C2 = 7 -> 19(3) cage = [937] (cannot be [847], NC)
1g. R3C1 = 3 -> R12C1 = 7 = {16/25}, R1C2 = 3 (cage sum), clean-up: no 6 in R1C34
1h. R12C1 = {16} (cannot be {25} because of NC with R1C2 = 3, R3C1 = 3), locked for C1 and NR1C1
1i. 21(3) cage at R4C1 = {489/579}, 9 locked for C1
1j. 7 in NR1C1 only in R456C1, locked for C1
1k. 15(3) cage at R7C1 = {258} (only possible combination), locked for C1 and NR7C1
1l. Naked triple {146} in 11(3) cage at R7C2, locked for C2 and NR7C1
1m. 15(3) cage at R7C4 = {357} (only possible combination) -> R7C4 = 5, R8C34 = {37}, locked for R8 and NR7C1, clean-up: no 4 in R1C3, no 4 in R9C67
1n. 45 rule on NR1C3 3 innies R3C56 + R4C5 = 10 = [613] -> R3C47 = [89], clean-up: no 8 in R1C3, no 8 in R9C7
NC Clean-ups:
R1C2 = 3 -> no 2 in R1C3
R3C2 = 7 -> no 8 in R4C2
R3C5 = 6 -> no 5,7 in R2C5
R3C6 = 1 -> no 2 in R24C6
R3C7 = 9 -> no 8 in R24C7
R4C5 = 3 -> no 2,4 in R4C4 + R5C5, no 4 in R4C6
R7C4 = 5 -> no 4,6 in R6C4, no 4 in R7C5

2a. R4C2 = 5 -> R45C1 = 16 = {79}, locked for C1
2b. R6C1 = 4
2c. R7C3 = 9
2d. 45 rule on R789 2 remaining innies R7C45 = 6 = [24] -> R6C5 = 7 (cage sum)
NC Clean-ups:
R4C2 = 5 -> no 4,6 in R4C3
R6C5 = 7 -> no 8 in R5C5, no 6,8 in R6C6
R7C3 = 9 -> no 8 in R6C3
R7C5 = 2 -> no 1 in R8C5
R7C6 = 4 -> no 3,5 in R6C6, no 3 in R7C7, no 5 in R8C6
R5C1 = {79} -> no 8 in R5C2

3a. R56C2 = [28]
3b. 45 rule on NR1C2 1 outie R5C3 = 4
3c. R5C3 = 4 -> R4C34 = 7 = [16]
3d. 11(3) cage at R2C3 = {245}, 5 locked for C3
3e. R1C3 = 7 -> R1C4 = 2
3f. R2C4 = 4 -> R23C3 = [25] (cannot be [52], NC)
3g. R3C7 = 9 -> R4C67 = 9 = [72], R45C1 = [97]
3h. R4C89 = {48}, locked for NR4C8, R5C8 = 6 (cage sum)
3i. R7C1 = 8, R7C89 = {37} -> R8C8 = 9 (cage sum)
3j. R7C3 = 9 -> R6C34 = 9 = [63]
3k. R6C6 = 2 -> R56C7 = 13 = [85]
3l. R6C89 = [19] -> R5C9 = 3 (cage sum)
3m. R7C89 = [37]
3n. Naked pair {16} in R78C7, locked for C7, R8C6 = 8 (cage sum)
3o. R9C67 = [63]
3p. R2C7 = 7, R3C6 = 1 -> R2C6 = 3 (cage sum)
3q. Naked pair {25} in R89C9, locked for C9
3r. R2C5 = 8
NC Clean-ups:
R1C7 = 4 -> no 5 in R1C68
R2C8 = 5 -> no 6 in R2C9
R6C6 = 5 -> no 6 in R7C6
R8C3 = 3 -> no 4 in R8C2
R9C3 = 8 -> no 9 in R9C4

4a. R78C7 = [16]
NC Clean-up:
R8C2 = 1 -> no 2 in R8C1

and the rest is naked singles.

Solution:
1 3 7 2 5 9 4 8 6
6 9 2 4 8 3 7 5 1
3 7 5 8 6 1 9 2 4
9 5 1 6 3 7 2 4 8
7 2 4 9 1 5 8 6 3
4 8 6 3 7 2 5 1 9
8 6 9 5 2 4 1 3 7
5 1 3 7 4 8 6 9 2
2 4 8 1 9 6 3 7 5

Hint for P&P solvers if you find it hard to get started on these two TJKs:
You may need good mental arithmetic, or a calculator, to find a 45 that will give you a way in. Working on an Excel worksheet, I have the advantage of the Autosum function.


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