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Toroidal Killer Sudoku #2

 
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Para
Yokozuna
Yokozuna


Joined: 08 Nov 2006
Posts: 384
Location: The Netherlands

PostPosted: Wed Dec 05, 2007 9:58 pm    Post subject: Toroidal Killer Sudoku #2 Reply with quote

Hi all

Sinterklaas didn't forget about all off you. Here's his present for you.
It's a Toroidal Jigsaw Sudoku with a delicious chocolate nonet in the center.
Enjoy this treat.

Toroidal Killer Sudoku #2



Sumocue-code:
SumoCueV1=14J0=26J1+1J0+1J1+1J2=10J3+5J3=9J3+7J4+0J0+0J0=27J0=14J1+12J2=17J3=28J2+15J3+7J5=15J0=12J5+11J0+11J6+12J2+14J2+15J2+15J3=17J5+18J5+19J5+19J0+11J6=21J2+31J6=11J2+15J7+26J5=8J7=22J5+37J8+11J6+31J6=25J6+33J2+33J7+26J5+36J7=18J5+37J8+31J6+31J8+41J6=15J4+51J7=10J7+36J7+46J1+46J8=10J8=18J8+41J6+41J4+51J7+53J4=18J7+46J1+46J8+57J1+58J8+58J3+41J4=12J4+70J4+63J0+63J1=9J1+74J1=19J8+76J3+76J4+76J3+70J4

greetings

Para
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Caida
Hooked
Hooked


Joined: 03 Nov 2007
Posts: 38
Location: Canada

PostPosted: Sun Dec 09, 2007 7:12 am    Post subject: walkthrough for Toroidal TJK #2 Reply with quote

Here's my walkthrough for Toroidal TJK #2.

I found it really difficult - mostly just in keeping the nonet patterns in mind. I had to restart about a dozen times after coming up with conflicts on the home stretch - still not sure what I was doing wrong those times - but each restart helped me in simplifying my solution.

Any comments/corrections would be most appreciated!

Really enjoyable puzzle Para - Thanks!!
(hope I got it right Smile)

Toridal TJK2

Nonets:

121234445
111234346
161733346
661737386
869777386
869797588
829997585
829294555
122294545

Preliminaries:

a. 26(4)r1c2 = {2789/4589/4679/5678} (no 1,3)
Note: {3689} blocked by 10(2)r1c6
b. 10(2)r1c6 and r6c9 and r7c4= {19/28/37/46} (no 5)
c. 9(3)r1c8 = {126/135/234} (no 7..9)
d. 17(3)r2c6 = {89} -> locked for c6; -> r2c57 and r3c8 no 8,9 (CPE)
e. 15(2)r3c1 = {69/78} (no 1..5)
f. 11(3)r4c7 = {128/137/146/236/245} (no 9)
g. 8(3)r5c1 = {125/134} (no 6..9) -> 1 locked for c1 and n8
h. 22(3)r5c2 = {589/679} (no 1..4)
i. 18(5)r6c2 = {12348/12357/12456} (no 9)
j. 9(2)r9c3 = {18/27/36/45} (no 9)

k. cleanup: 10(2)r1c6: r1c7 no 1,2
l. cleanup: 10(2)r6c9: r7c9 no 9
m. cleanup: 18(3)r7c5: r78c5 no 1 (needs both {89})

1. Outies c1: r29c2 = 10(2) = {19/28/37/46} (no 5)

2. Outies c9: r18c8 = 3(2) = {12} -> locked for c8
2a. -> r1c9 and r8c6 no 1,2 (CPE)
2b. -> 1 in r1 locked in n4 -> no 1 elsewhere in n4 (r9c6 no 1)

3. 11(3)r4c7: min r5c8 = 3 -> max r45c7 = 8(2) (no 8)

4. Innie and Outie r1: r1c1 = r2c9
4a. -> r1c1 no 7,8,9
4b. -> r2c9 no 1

6. 9(3)r1c8 = [162/135/153/234/243]
6a. -> r2c9 no 6
6b. -> r1c1 no 6 (step 4)

7. Innie and Outie r9: r8c1 r9c9 = 1
7a. -> r9c9 no 9

8. 12(3)r8c8 = [192]/[1]{56}/[291]/[2]{37/46}
Note: [1]{38/47} blocked by 9(3)r1c8
8a. -> r89c9 no 8
8b. -> r8c9 no 1,2
8c. -> r8c1 no 9 (step 7)

9. Innies and Outies r6789: r6c345 r5c16 = 18
9a. -> min r5c16 = 3 -> min r6c345 = 21 (no 1,2,3)
9b. -> max r6c345 = 24 -> max r5c16 = 6 (no 6,7)

10. Innies and Outies r1234: r5c49 - r4c567 = 9
10a. -> min r4c567 = 6 -> min r5c49 = 15 (no 1,2,3,4,5)
10b. -> max r5c49 = 17 -> max r4c567 = 8 (no 6,7,8,9)
10c. -> r4c567 = 6(3)/7(3)/8(3) = {123/124/125/134} -> 1 locked for r4 -> no 1 elsewhere in r4

11. 21(5)r4c5
11a. -> min r6c45 = 12 (from step 9a 21 less 9) -> max r4c56+r5c5 = 9 (no 7,8,9)
11b. -> 8 and 9 in n7 is locked in c4 -> no 8,9 elsewhere in c4
11c. -> cleanup: 10(2)r7c4: no 1,2
11d. -> cleanup: 9(2)r9c3: r9c3 no 1
11e. -> 9 in n2 is locked in r19c2 -> no 9 elsewhere in c2
11f. -> 9 in 22(3)r5c2 is locked in r23c3 -> no 9 elsewhere in c3 and n9
11g. -> 9 in c5 is locked in n3 -> no 9 elsewhere in n3
11h. -> single: r3c6 = 8 > r2c6 = 9
11i. -> 9 in n1 is locked in c1 -> no 9 elsewhere in c1
11j. -> 9 in c7 is locked in n5 -> no 9 elsewhere in n5
11k. -> 9 in c8 is locked in n8 -> no 9 elsewhere in n8
11l. cleanup: 10(2)r1c6: no 1
11m. cleanup: 10(2)r7c9: no 1
11n. hidden single: r1c8 = 1; r8c8 = 2

12. 9(3)r1c8: no 4
12a. -> r1c1 no 4 (step 4)
12b. 12(3)r8c8: no 1, 5
12c. -> r8c1 no 3,6 (step 7)
12d. hidden single: r3c9 = 1

13. 17(3)r3c9 = [1]{79}
13a. -> {79} locked for c9 and n6 -> no 7,9 elsewhere in c9 and n6
13b. -> 12(3)r8c8 = [2]{46} -> {46} locked for c9 and n5 -> no 4,6 elsewhere in c9 and n6
13c. -> 9(3)r1c8 = [1]{35} -> {35} locked for c9 -> no 3,9 elsewhere in c9
13d. -> r1c1 no 2 (step 4)
13e. 10(2)r6c9 = [28]

14. 8(3)r5c1 = {134} -> locked for c1 and n8
14a. -> r1c1 and r2c9 = 5 (step 4)
14b. 15(2)r3c1 = [78/96] -> r3c1 no 6
14c. single: r1c9 = 3
14d. cleanup: 10(2)r1c6: no 7

15. 22(3)r5c2 = [6]{79}/[8]{59}
15a. -> r56c3 no 6,8

16. r8c1 = 7; r9c9 = 6 (step 7)
16a. single: r8c9 = 4
16b. r34c1 = [96]
16c. single: r5c2 = 8
16d. triple {234} locked in r346c2 -> no 2,3,4 elsewhere in c2

17. 18(3)r8c1 = [729]
17a. 14(3)r1c1 = [581]

18. 12(3)r3c2 = {23}[7] -> 2,3 locked for c2
18a. single: r6c2 = 4
18b. r45c9 = [97]

19. 5 locked in r78c2 for c2 and n2 -> no 5 elsewhere in n2
19a. 5 locked in c4 for n7 -> no 5 elsewhere in n7
19b. 5 locked in c5 for n3 -> no 5 elsewhere in n3
19c. 5 locked in c6 for n4 -> no 5 elsewhere in n4

20. hidden single: r1c7 = 8; r1c6 = 2
20a. hidden single: r1c5 = 9

21. 9(2)r9c3 = [81]

22. 1 locked in n5 in c7 - > no 1 elsewhere in c7
22a. hidden single: r4c5 = 1
22b. hidden single: r7c3 = 2; r2c4 = 2; r8c3 = 1; r5c5 = 2; r8c4 = 3; r3c5 = 5; r8c5 = 8; r8c7 = 9; r7c8 = 9


Singles and cage sums to the end

Solution

576492813
814279635
923658471
637514289
485921367
349867152
162743598
751386924
298135746
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