SudokuSolver Forum

A forum for Sudoku enthusiasts to share puzzles, techniques and software
It is currently Sat Apr 27, 2024 7:56 pm

All times are UTC




Post new topic Reply to topic  [ 7 posts ] 
Author Message
 Post subject: Last minute Assassin 182
PostPosted: Sat Nov 21, 2009 8:42 am 
Offline
Expert
Expert

Joined: Sat Jan 17, 2009 8:30 am
Posts: 118
Location: france
Nobody is volunteer for A 182, so I have made it. I had to break the three weeks rule; I hope no one will be hurted, but I think it's better than no Assassin.

Assassin 182

Image


3x3::k:3328:3328:2818:2818:6404:6404:4870:4870:4870:3328:3850:3850:6404:6404:1294:1294:4112:4113:3328:5395:2324:3349:4630:4630:4112:4112:4113:5395:5395:2324:3349:4630:3616:2593:4112:4113:5395:3109:1318:1318:1320:3616:2593:2859:4652:4397:3109:3119:4144:1320:3616:2859:2859:4652:4397:3119:3119:4144:4144:2875:3388:3388:4652:4397:4672:4417:3394:3394:2875:3141:3141:2631:4672:4672:4417:4417:3394:2637:2637:2631:2631:

Solution :

Hidden Text:
416528793
378691452
592437168
157983246
643215879
289746315
721369584
864152937
935874621


Top
 Profile  
Reply with quote  
PostPosted: Sat Nov 21, 2009 10:42 am 
Offline
Grand Master
Grand Master
User avatar

Joined: Mon Apr 21, 2008 10:32 am
Posts: 868
Scribble images:
Image     Image


Last edited by Børge on Mon Jul 11, 2011 6:40 pm, edited 1 time in total.

Top
 Profile  
Reply with quote  
PostPosted: Sun Nov 22, 2009 7:56 pm 
Offline
Grand Master
Grand Master
User avatar

Joined: Mon Apr 21, 2008 10:32 am
Posts: 868
To check if I finally gotten some of the diagonal connecting tubes between remote parts of a cage sorted out, a manu puzzle again had to serve as guinea pig.
Here are some of the easier guinea pigs JSudoku generated. v0.10 is ridiculously easy, even easier than A180 v0.10.
A180 v0.20 does NOT have remote cages. Was just an intermediate step.

Assassin 182 v0.10
Image Image
SS Score: 0.65
3x3::k:6991:6991:3074:3074:4432:4432:4432:10066:10066:6991:3594:3594:4432:4432:2830:2830:3088:10066:6990:6990:1044:4373:6166:6166:3088:3088:2385:6990:6990:1044:4373:6166:4384:2081:3088:2385:6990:2853:2342:2342:1320:4384:2081:5163:3884:1363:2853:4399:2864:1320:4384:5163:5163:3884:1363:4399:4399:2864:2864:1595:3900:3900:3884:10066:4949:4949:3394:3394:1595:2885:2885:6991:10066:10066:4949:4949:3394:2637:2637:6991:6991:
Solution:
168452397
795613824
423978516
571896243
934527681
286134759
347281965
819365472
652749138


Assassin 182 v0.20
Image Image
SS Score: 0.71
3x3::k:3663:3663:1538:1538:5968:5968:5968:4946:4946:3663:2570:2570:5968:5968:2830:2830:3856:4946:7502:7502:3604:3861:3350:3350:3856:3856:2129:7502:7502:3604:3861:3350:4896:2849:3856:2129:7502:2341:2342:2342:2344:4896:2849:2859:5420:851:2341:3887:4400:2344:4896:2859:2859:5420:851:3887:3887:4400:4400:2619:2620:2620:5420:4436:4181:4181:3650:3650:2619:3141:3141:2631:4436:4436:4181:4181:3650:3917:3917:2631:2631:
Solution:
732461589
491835672
586972413
918647235
657213948
243589167
175394826
824756391
369128754


Assassin 182 v0.75
Image Image
SS Score: 1.32
3x3::k:8527:8527:3330:3330:5712:5712:5712:8786:8786:8527:3338:3338:5712:5712:2574:2574:4624:8786:6222:6222:4116:1557:2326:2326:4624:4624:1361:6222:6222:4116:1557:2326:4384:3873:4624:1361:6222:1829:3110:3110:3624:4384:3873:4395:2604:4435:1829:3375:4400:3624:4384:4395:4395:2604:4435:3375:3375:4400:4400:1595:1852:1852:2604:8786:5973:5973:4418:4418:1595:1861:1861:8527:8786:8786:5973:5973:4418:845:845:8527:8527:
Solution:
124938576
658247319
739516842
487129653
215763984
963485721
891672435
572394168
346851297

_________________
Quis custodiet ipsos custodes?
Normal: [D  Y-m-d,  G:i]     PM->email: [D, d M Y H:i:s]


Last edited by Børge on Thu Nov 26, 2009 5:57 pm, edited 1 time in total.

Top
 Profile  
Reply with quote  
PostPosted: Wed Nov 25, 2009 2:41 am 
Offline
Grand Master
Grand Master

Joined: Wed Apr 23, 2008 6:04 pm
Posts: 1895
Location: Lethbridge, Alberta, Canada
manu wrote:
Nobody is volunteer for A 182, so I have made it. I had to break the three weeks rule; I hope no one will be hurted, but I think it's better than no Assassin.
Thanks manu for a challenging Assassin! I took a long time until I found the key breakthrough which gave my first placement. After I made that breakthrough I removed my technically most difficult steps which I realised weren't necessary; there are comments about what they were.

Rating Comment:
I've rated my walkthrough for A182 at 1.25 although it felt harder until I found the right steps. If I hadn't deleted two steps I would have rated it Hard 1.25.

Here is my walkthrough for A182.

Prelims

a) R1C34 = {29/38/47/56}, no 1
b) R2C23 = {69/78}
c) R2C67 = {14/23}
d) R34C3 = {18/27/36/45}, no 9
e) R34C4 = {49/58/67}, no 1,2,3
f) R45C7 = {19/28/37/46}, no 5
g) R56C2 = {39/48/57}, no 1,2,6
h) R5C34 = {14/23}
i) R56C5 = {14/23}
j) R78C6 = {29/38/47/56}, no 1
k) R7C78 = {49/58/67}, no 1,2,3
l) R8C78 = {39/48/57}, no 1,2,6
m) R9C67 = {19/28/37/46}, no 5
n) 19(3) cage in N3 = {289/379/469/478/568}, no 1
o) 11(3) cage in N6 = {128/137/146/236/245}, no 9
p) 10(3) cage in N9 = {127/136/145/235}, no 8,9
q) 13(4) cage in N1 = {1237/1246/1345}, no 8,9, 1 locked for N1, clean-up: no 8 in R4C3

1. 45 rule on C12 2 innies R27C2 = 9 = [63/72/81], clean-up: no 6 in R2C3

2. 45 rule on C789 2 outies R29C6 = 5 = {14/23}, clean-up: R9C7 = {6789}

3. 45 rule on C6789 2 innies R13C6 = 15 = {69/78}

4. 45 rule on N9 2 innies R7C9 + R9C6 = 10 = [19/28/37/46] -> R7C9 = {1234}
4a. Max R7C9 = 4 -> min R56C9 = 14, no 1,2,3,4 in R56C9

5. 45 rule on C9 1 innie R1C9 = 1 outie R9C8 + 1, no 9 in R1C9

6. 45 rule on R89 2 innies R8C16 = [19]/{28/37/46}, no 5, no 9 in R8C1, clean-up: no 6 in R7C6

7. 14(3) cage in N5 = {158/257/356} (cannot be {167} which clashes with R13C6, cannot be {248/347} which clash with R56C5, cannot be {149/239} which clash with R5C4 + R56C5, ALS block), no 4,9, 5 locked for C6 and N5, clean-up: no 8 in R3C4, no 6 in R8C6, no 4 in R8C1 (step 6)
7a. Killer quad 1,2,3,4 in 14(3) cage, R5C4 and R56C5, locked for N5, clean-up: no 9 in R3C4
7b. Min R3C6 + R4C5 = 13 -> max R3C5 = 5

8. 45 rule on N8 2 innies R9C46 = 1 outie R6C4 + 5
8a. Max R9C46 = 13 -> max R6C4 = 8
8b. Min R6C4 = 6 -> min R9C46 = 11, min R9C4 = 7, no 1 in R9C6, clean-up: no 4 in R2C6 (step 2), no 1 in R2C7, no 9 in R9C7, no 1 in R7C9 (step 4)
8c. 9 in N5 locked in R4C45, locked for R4, clean-up: no 1 in R5C7
8d. 4 in C6 locked in R789C6, locked for N8

9. 13(3) cage in N8 = {139/157/256} (cannot be {238} which clashes with R789C6, ALS killer block), no 8

10. 16(3) cage at R6C4 = {169/178/268/358/367} (cannot be {259} because R6C4 only contains 6,7,8)
10a. 13(3) cage in N8 (step 9) = {157/256} (cannot be {139} which clashes with R7C45 + R789C6, ALS killer block), no 3,9, 5 locked for N8

11. 9 in N9 locked in R78C78
11a. R7C78 = {49/58/67}, R8C78 = {39/48/57} -> combined cage R78C78 = {4957/5839/6739} -> R8C78 = {39/57}, no 4,8

12. R7C9 + R9C7 (step 4) = 10 = [28/46] (cannot be [37] which clashes with R8C78), clean-up: no 3 in R9C6, no 2 in R2C6 (step 2), no 3 in R2C7

13. 1 in R1 locked in R1C125
13a. 45 rule on R1 4 innies R1C1256 = 15 = {1239/1248/1257/1347/1356}
13b. R1C6 = {6789} -> no 6,7,8,9 in R1C125

14. 45 rule on C123 3 outies R159C4 = 15 = {159/168/249/258/267/348/357} (cannot be {456} because R9C4 only contains 7,8,9)
14a. R9C4 = {789} -> no 7,8,9 in R1C4, clean-up: no 2,3,4 in R1C3

15. 25(4) cage in N2 = {1789/2689/3589/3679/4579/4678}
15a. 1,2 of {1789/2689} must be in R1C5 -> no 1,2 in R2C45

16. 45 rule on C1234 2 innies R28C4 = 1 outie R7C5 + 1
16a. Min R28C4 = 4 -> min R7C5 = 3
16b. 16(3) cage at R6C4 (step 10) = {169/178/268/367}
16c. 1 of {169} must be in R7C4 -> no 9 in R7C4

[At this stage I originally used
R9C46 = R6C4 + 5 (step 8)
R9C6 = {24} -> R6C4 and R9C4 must be either odd/even or even/odd
Hidden killer pair 1,6 in R7C45 and 13(3) cage for N8, 13(3) cage contains one of 1,6 (step 10) -> R7C45 must contain one of 1,6
and then did permutation analysis on 16(3) cage at R6C4 including clashes with R9C4. I’ve now deleted that step and one later step but have left my other steps in their original order.]

17. 45 rule on R1234 2 outies R5C17 = 1 innie R4C6 + 11
17a. Min R5C17 = 12, no 1,2, clean-up: no 8 in R4C7
17b. Max R5C17 = 17 -> max R4C6 = 6

18. 18(3) cage at R5C9 = {279/459/468}
18a. 16(3) cage at R2C9 = {178/259/268/358/367} (cannot be {169/349/457} which clash with 18(3) cage at R5C9), no 4

[Here I originally did combination analysis on 45 rule on N6 4 innies R4C89 + R56C9 = 24, excluding the ones which weren’t compatible with the remaining combinations for R56C9.]
19. 45 rule on C9 3 innies R189C9 = 11 = {128/137/146/236} (cannot be {245} which clashes with R7C9), no 5, clean-up: no 4 in R9C8 (step 5)

20. 45 rule on R12 2 innies R2C89 = 1 outie R3C1 + 2
20a. Max R3C1 = 7 -> max R2C89 = 9, no 9
20b. Min R2C89 = 5 (cannot be {12} which clashes with R2C67, cannot be {13} which clashes with R2C6), min R3C1 = 3

21. 45 rule on R1234 1 outie R5C1 = 2 innies R4C67 + 1
21a. Min R4C67 = 3 -> min R5C1 = 4

22. 45 rule on N2 3 (2+1) outies R2C7 + R4C45 = 1 innie R1C4 + 16
22a. Max R2C7 + R4C45 = 4 + 17 = 21 -> max R1C4 = 5, clean-up: no 5 in R1C3

[Having found several 45s which only gave minor eliminations, I then found this one. I’m sure I must have seen it earlier but it’s only really useful after R9C6 has been reduced to two candidates and 13(3) cage in N9 to two combinations.]
23. 45 rule on N8 4 innies R7C45 + R9C46 = 21 = {1479/2469/3468} (cannot be {1389} because R9C6 only contains 2,4, cannot be {2379/2478} which clash with 13(3) cage) -> R9C6 = 4, R9C7 = 6, R2C6 = 1 (step 2), R2C7 = 4, R7C9 = 4 (step 4), clean-up: no 7 in R1C9 (step 5), no 8 in R56C6 (step 7), no 7 in R78C6, no 7,9 in R7C78, no 3,6 in R8C1 (step 6), no 3 in R9C8 (step 5)
23a. Naked pair {58} in R7C78, locked for R7 and N9, clean-up: no 6 in R1C9 (step 5), no 3 in R8C6, no 7 in R8C1 (step 6), no 7 in R8C78
23b. Naked pair {39} in R8C78, locked for R8 and N9, clean-up: no 2 in R7C6, no 1 in R8C1 (step 6)
23c. Naked pair {28} in R8C16, locked for R8

24. R189C9 (step 19) = {128/137}, 1 locked in R89C9 for C9 and N9, clean-up: no 2 in R1C9 (step 5)

25. 9 in R4 locked in R4C45
25a. 45 rule on N2 2 remaining outies R4C45 = 1 innie R1C4 + 12
25b. R4C45 = {69/79/89} = 15,16,17 -> R1C4 = {345}, no 2, clean-up: no 9 in R1C3

26. 2 in N2 locked in R13C5, locked for C5, clean-up: no 3 in R56C5
26a. Naked pair {14} in R56C5, locked for C5 and N5, clean-up: no 1,4 in R5C3
26b. Naked pair {23} in R5C34, locked for R5, clean-up: no 7 in R4C7, no 9 in R6C2

27. 13(3) cage in N8 (step 10a) = {157} (only remaining combination), no 6 -> R8C4 = 1, R8C9 = 7, R89C5 = [57], R9C89 = [21], R1C9 = 3 (step 24), R1C5 = 2, R3C5 = 3, clean-up: no 8 in R1C3, no 6 in R4C3

28. R1C9 = 3 -> R1C78 = 16 = {79}, locked for R1 and N3 -> R1C3 = 6, R1C4 = 5, R1C6 = 8, R8C6 = 2, R7C6 = 9, R7C45 = [36], R6C4 = 7 (step 16b), R9C4 = 8, R2C45 = [69], R34C4 = [49], R3C6 = 7, R4C5 = 8, R3C1 = 5, R5C34 = [32], R8C3 = 4, R9C3 = 5 (cage sum), R8C12 = [86], clean-up: no 2 in R4C3, no 5,9 in R5C2

29. Naked pair {78} in R2C23, locked for R2 and N1 -> R3C3 = 2, R4C3 = 7, R2C8 = 5, R2C9 = 2, R34C9 = 14 = [86], R3C78 = [16], R4C8 = 4 (cage sum), clean-up: no 9 in R5C7, no 5 in R6C2

30. R2C23 = [78], R7C23 = [21], R6C3 = 9, R7C1 = 7, R6C1 = 2 (cage sum), R4C12 = [15], R4C6 = 3, R4C7 = 2, R5C7 = 8

and the rest is naked singles.


Last edited by Andrew on Sun Nov 29, 2009 11:22 pm, edited 1 time in total.

Top
 Profile  
Reply with quote  
PostPosted: Fri Nov 27, 2009 6:46 am 
Offline
Grand Master
Grand Master

Joined: Wed Apr 23, 2008 6:04 pm
Posts: 1895
Location: Lethbridge, Alberta, Canada
I probably wouldn't have bothered to do V0.1 and V0.2 if I hadn't wanted to check whether they should be included in the list of good puzzles for newcomers to try, in my Advice "sticky". They are!

A182 V0.1 is even easier than Børge's A180 V0.1.

Hints for Newcomers (not a spoiler):
Most puzzles in this forum require you to apply the 45 rule. Don't bother with it for this puzzle! I didn't use it in my solving path. Also don't get put off by the disjoint/remote cages but if you are doing manual eliminations, remember to do them for both parts of these cages.

Rating Comment:
I had to rate A180 V0.1 at Easy 1.0 because that's the lowest I now give when using elimination solving. However I think it's probably the easiest puzzle I've ever solved this way.

Here is my walkthrough for A180 V0.1. Because this is a puzzle for newcomers I'll keep my walkthrough in hidden text.:
Prelims

a) R1C34 = {39/48/57}, no 1,2,6
b) R2C23 = {59/68}
c) R2C67 = {29/38/47/56}, no 1
d) R34C3 = {13}
e) R34C4 = {89}
f) R34C9 = {18/27/36/45}, no 9
g) R45C7 = {17/26/35}, no 4,8,9
h) R56C2 = {29/38/47/56}, no 1
i) R5C34 = {18/27/36/45}, no 9
j) R56C5 = {14/23}
j) R67C1 = {14/23}
k) R78C6 = {15/24}
l) R7C78 = {69/78}
m) R8C78 = {29/38/47/56}, no 1
n) R9C67 = {19/28/37/46}, no 5
o) 24(3) cage at R3C5 = {789}
p) 20(3) cage in N6 = {389/479/569/578}, no 1,2
q) 11(3) cage at R6C4 = {128/137/146/236/245}, no 9
r) 12(4) cage at R2C8 = {1236/1245}, no 7,8,9
s) 17(5) at R1C5 = {12347/12356}, no 8,9
t) 39(6) disjoint cage at R1C8 = {456789}, no 1,2,3

Steps resulting from Prelims
1a. 17(5) at R1C5 = {12347/12356}, CPE no 3 in R1C4, clean-up: no 9 in R1C3
[If newcomers missed this step, it’s not serious this time; however it’s good practice to look for CPEs which can sometimes be very helpful.]
1b. R2C67 = {29/38/47} (cannot be {56} which clash with R2C23), no 5,6
1c. Naked pair {13} in R34C3, locked for C3, clean-up: no 9 in R1C4, no 6,8 in R5C4
1d. Naked pair {89} in R34C4, locked for C4, clean-up: no 4 in R1C3

2. Naked triple {789} in R3C456, locked for R3 and N2, clean-up: no 5 in R1C3, no 2,3,4 in R2C7, no 1,2 in R4C9
2a. 7 in R3 locked in R3C56, locked for 24(3) cage at R3C5, no 7 in R4C5
2b. Naked pair {89} in R4C45, locked for R4 and N5, clean-up: no 1 in R3C9

3. R39C6 = {89} (hidden pair in C6), R9C7 = {12}
3a. R3C5 = 7 (hidden single in R3)

4. 17(3) cage at R4C6 = {467} (only remaining combination), locked for C6 and N5, clean-up: no 7 in R2C7, no 2,5 in R5C3, no 1 in R56C5, no 2 in R78C6
4a. Naked pair {23} in R56C5, locked for C5 and N5, clean-up: no 6,7 in R5C3
4b. Naked pair {15} in R56C4, locked for C4 -> R1C4 = 4, R1C3 = 8, clean-up: no 6 in R2C23
4c. Naked pair {15} in R78C6, locked for C6 and N8

5. Naked pair {59} in R2C23, locked for R2 and N1 -> R2C7 = 8, R2C6 = 3, R1C6 = 2, R2C45 = [61], R1C5 = 5, R1C7 = 3 (cage sum), clean-up: no 5 in R45C7, no 6 in R4C9, no 7 in R7C8, no 3,8 in R8C8
5a. Killer pair 1,2 in R45C7 and R9C7, locked for C7, clean-up: no 9 in R8C8

6. 9 in R1 locked in R1C89, locked for 39(6) disjoint cage at R1C8, no 9 in R8C1 + R9C12
6a. 5,8 in 39(6) disjoint cage at R1C8 locked in R8C1 + R9C12, locked for N7

7. 13(3) cage in N8 = {346} (only remaining combination, cannot be {238} because 2,3 only in R8C4) -> R8C4 = 3, R89C5 = {46}, locked for N8 -> R7C5 = 8, R9C6 = 9, R9C7 = 1, R3C46 = [98], R4C45 = [89], clean-up: no 7 in R45C7, no 7 in R7C7
7a. Naked pair {26} in R45C7, locked for C7 and N6 -> R7C78 = [96], clean-up: no 5 in R8C7, no 2,5 in R8C8
7b. Naked pair {47} in R8C78, locked for R8 and N9 -> R89C5 = [64]

[I’ve used the simplest way I could find from here. An alternative way is R2C9 = 4 (hidden single in disjoint 39(6) cage at R1C8 ...]
8. R7C5 = 8 -> R67C4 = 3 = [12], R9C4 = 7, R5C4 = 5, R5C3 = 4, R7C3 = 7, clean-up: no 7 in R5C2, no 6,7 in R6C2, no 3 in R6C1, no 1,4 in R7C1
8a. R67C1 = [23], R56C5 = [23], R45C7 = [26], R5C6 = 7, R7C9 = 5, R78C6 = [15], R7C2 = 4, R6C3 = 6 (cage sum), R6C6 = 4, R4C6 = 6, R8C1 = 8, R8C9 = 2, R89C3 = [92], R8C2 = 1, R2C23 = [95], clean-up: no 4 in R3C9, no 4,7 in R4C9, no 8 in R5C2, no 5 in R6C2

9. R3C9 = 6
9a. Naked pair {79} in R1C89, locked for R1 and N3 -> R1C12 = [16], R2C9 = 4

and the rest is naked singles.


Top
 Profile  
Reply with quote  
PostPosted: Fri Nov 27, 2009 6:58 am 
Offline
Grand Master
Grand Master

Joined: Wed Apr 23, 2008 6:04 pm
Posts: 1895
Location: Lethbridge, Alberta, Canada
Another good puzzles for newcomers to try. This one is noticeably harder than V0.1 so will help to make progress toward being able to solve Assassins.

Hints for Newcomers (not a spoiler):
If you can find the right 45s to use, your solving path should be fairly short.

Rating Comment:
I had to rate A180 V0.2 at Easy 1.0 because that's the lowest I now give when using elimination solving.

Here is my walkthrough for A180 V0.2. Because this is a puzzle for newcomers I'll keep my walkthrough in hidden text.:
Prelims

a) R1C34 = {15/24}
b) R2C23 = {19/28/37/46}, no 5
c) R2C67 = {29/38/47/56}, no 1
d) R34C3 = {59/68}
e) R34C4 = {69/78}
f) R34C9 = {17/26/35}, no 4,8,9
g) R45C7 = {29/38/47/56}, no 1
h) R56C2 = {18/27/36/45}, no 9
i) R5C34 = {18/27/36/45}, no 9
j) R56C5 = {18/27/36/45}, no 9
k) R67C1 = {12}, locked for C1
l) R78C6 = {19/28/37/46}, no 5
m) R7C78 = {19/28/37/46}, no 5
n) R8C78 = {39/48/57}, no 1,2,6
o) R9C67 = {69/78}
p) 19(3) cage in N3 = {289/379/469/478/568}, no 1
q) 19(3) cage at R4C6 = {289/379/469/478/568}, no 1
r) 11(3) cage in N6 = {128/137/146/236/245}, no 9
s) 21(3) cage at R5C9 = {489/579/678}, no 1,2,3
t) 10(3) cage in N9 = {127/136/145/235}, no 8,9

1. 45 rule on R12 1 innie R2C8 = 7, clean-up: no 3 in R2C23, no 4 in R2C67, no 1 in R4C9, no 3 in R7C7, no 5 in R8C7
1a. R2C8 = 7 -> R3C78 + R4C8 = 8 = {125/134}, no 6,8,9

2. 45 rule on R89 1 innie R8C6 = 6, R7C6 = 4, clean-up: no 5 in R2C7, no 6 in R7C78, no 9 in R9C7

3. 19(3) cage at R4C6 = {289/379}, no 5, 9 locked for C6 and N5, clean-up: no 2 in R2C7, no 6 in R3C4, no 6 in R9C7
3a. Naked pair {78} in R9C67, locked for R9
3b. Killer pair 7,8 in 19(3) cage at R4C6 and R9C6, locked for C6, clean-up: no 3 in R2C7

4. 1,5 in C6 locked in R123C6, locked for N2, clean-up: no 1,5 in R1C3
4a. Naked pair {24} in R1C34, locked for R1

5. 1 in R2 locked in R2C23 = {19}, locked for R2 and N1, clean-up: no 2 in R2C6, no 5 in R4C3

6. 14(3) cage in N1 = {347/356}, no 8, 3 locked for N1
6a. 8 in N1 locked in R3C123, locked for R3, clean-up: no 7 in R4C4

7. 45 rule on C123 3 outies R159C4 = 7 = {124}, locked for C4, clean-up: R5C3 = {578}

8. 45 rule on C9 2 outies R19C8 = 13 = [85/94]
8a. 6 in N9 locked in R79C9, locked for C9, clean-up: no 2 in R34C9

9. 19(3) cage in N3 = {289} (only remaining combination) -> R2C9 = 2, R1C89 = {89}, locked for R1 and N3 -> R2C7 = 6, R2C6 = 5, clean-up: no 5 in R45C7
9a. 4 in N3 locked in R3C78, locked for R3 and 15(4) cage at R2C7, no 4 in R4C8
9b. R3C78 + R4C8 (step 1a) = {134} (only remaining combination), no 2,5

10. 10(3) cage in N9 = {145} (only remaining combination, cannot be {136} because R9C8 only contains 4,5), locked for N9, 1 also locked for C9, clean-up: no 7 in R4C9, no 9 in R7C78, no 7,8 in R8C7, no 8 in R8C8
10a. Naked pair {35} in R34C9, locked for C9
10b. Naked pair {14} in R89C9, locked for C9 and N9 -> R9C8 = 5, R1C8 = 8 (step 8), R1C9 = 9, clean-up: no 2 in R7C7
10c. Naked pair {39} in R8C78, locked for R8 and N9 -> R7C8 = 2, R7C7 = 8, R67C1 = [21], R9C67 = [87], R7C9 = 6, clean-up: no 2 in R45C6 (step 3), no 3,4 in R45C7, no 7 in R56C2, no 7 in R5C5

11. Naked pair {29} in R45C7, locked for C7 -> R8C78 = [39]

12. Naked triple {379} in 19(3) cage at R4C6, locked for C6 and N5 -> R1C6 = 1, R1C7 = 5, R3C6 = 2, R1C34 = [24], R34C9 = [35], clean-up: no 5 in R5C3, no 2,6 in R5C5, no 6 in R6C5
12a. Naked pair {38} in R2C45, locked for R2 and N2 -> R2C1 = 4
12b. R2C45 = {38}, R1C67 = [15] -> R1C5 = 6 (cage sum)
12c. R3C78 = {14} -> R4C8 = 3 (step 9b)
12d. Naked pair {37} in R1C12, locked for N1

13. R5C4 = 2 (hidden single in N5), R5C3 = 7, R9C4 = 1, R89C9 = [14]

14. 45 rule on N7 1 remaining outie R6C3 = 3, R7C23 = 12 = [75], R1C12 = [73], R8C1 = 8, R8C23 = [24], R9C3 = 9 (cage sum), R9C12 = [36], R9C5 = 2

15. R3C6 = 2 -> R34C5 = 11 = [74], R3C4 = 9, R4C4 = 6

and the rest is naked singles.


Top
 Profile  
Reply with quote  
PostPosted: Fri Nov 27, 2009 7:04 am 
Offline
Grand Master
Grand Master

Joined: Wed Apr 23, 2008 6:04 pm
Posts: 1895
Location: Lethbridge, Alberta, Canada
And I also did Børge's V0.75.

Rating Comment:
I rated A182 V0.75 at Easy 1.25 because I used locking cages; I'll guess that the SS score was similar because it used either locking cages or a combined cage. Despite the rating this was a very easy puzzle because that step plus some easy killer pairs and triples were all that were needed to solve it.

Here is my walkthrough for A182 V0.75.

Prelims

a) R1C34 = {49/58/67}, no 1,2,3
b) R2C23 = {49/58/67}, no 1,2,3
c) R2C67 = {19/28/37/46}, no 5
d) R34C3 = {79}
e) R34C4 = {15/24}
f) R34C9 = {14/23}
g) R45C7 = {69/78}
h) R56C2 = {16/25/34}, no 7,8,9
i) R5C34 = {39/48/57}, no 1,2,6
j) R56C5 = {59/68}
k) R67C1 = {89}
l) R78C6 = {15/24}
m) R7C78 = {16/25/34}, no 7,8,9
n) R8C78 = {16/25/34}, no 7,8,9
o) R9C67 = {12}
p) 9(3) cage at R3C5 = {126/135/234}, no 7,8,9
q) 10(3) cage at R5C9 = {127/136/145/235}, no 8,9

Steps resulting from Prelims
1a.Naked pair {79} in R34C3, locked for C3, clean-up: no 4,6 in R1C4, no 4,6 in R2C2, no 3,5 in R5C4
1b. Naked pair {89} in R67C1, locked for C1
1c. Naked pair {12} in R9C67, locked for R9

2. Killer pair 1,2 in R78C6 and R9C6, locked for C6 and N8, clean-up: no 8,9 in R2C7
2a. Killer triple 1,2,3 in R7C78, R8C78 and R9C7, locked for N9

3. 10(3) cage at R5C9 = {145/235} (cannot be {127/136} which clash with R34C9), no 6,7, 5 locked for C9
[Alternatively 5(2) cage at R3C9 + 10(3) cage at R5C9 = 15(5) = {12345} using a combined cage.]
3a. Naked quad {12345} in R34567C9, locked for C9

4. Killer triple 4,5,6 in R7C78, R7C9 and R8C78, locked for N9
4a. R8C9 + R9C89 = {789} = 24 -> R1C12 + R2C1 = 9 = {126/135/234}, no 7,8,9
[Alternatively 7,8,9 in R8C9 + R9C89, locked for 33(6) cage at R1C1, no 7,8,9 in R1C12 + R2C1.]

5. 6 in C9 locked in R12C9, locked for N3 and 34(6) cage at R1C8, no 6 in R8C1 + R9C12, clean-up: no 4 in R2C6

6. 17(3) cage at R4C6 = {359/368/467} (cannot be {458} which clashes with R78C6)
6a. Killer pair 5,6 in 17(3) cage at R4C6 and R56C5, locked for N5, clean-up: no 1 in R3C4

7. 45 rule on N5 4 innies R4C45 + R56C4 = 14 = {1238/1247}, no 9, clean-up: no 3 in R5C3
7a. 8 of {1238} must be in R5C4 -> no 8 in R6C4

[I should have seen this earlier. After this step the puzzles is cracked.]
8. 3 in N9 locked in R7C78 + R8C78 -> 4 locked in R7C78 + R8C78 (locking 7(2) cages), locked for N9 -> R7C9 = 5, clean-up: no 2 in R7C78, no 1 in R8C6, no 2 in R8C78
[Alternatively this could have been done using a combined cage but I think that locking cages is more direct.]
8a. R9C7 = 2 (hidden single in N9), R9C6 = 1, clean-up: no 8 in R2C6, no 5 in R8C6
8b. Naked pair {24} in R78C6, locked for C6 and N8

9. 17(3) cage at R4C6 (step 6) = {359/368}, no 7, 3 locked for C6 and N5, clean-up: no 7 in R2C7
9a. Killer pair 5,6 in R3C6 and 17(3) cage at R4C6, locked for C6, clean-up: no 4 in R2C7
9b. Killer pair 8,9 in 17(3) cage at R4C6 and R56C5, locked for N5, clean-up: no 4 in R5C3
9c. 7 in C6 locked in R12C6, locked for N2, clean-up: no 6 in R1C3
9d. 7 in N5 locked in R56C4, locked for C4

10. 17(3) cage at R8C4 = {359/368}, no 7, 3 locked for N8

11. R7C5 = 7 (hidden single in N8), R5C4 = 7 (hidden single in N5), R5C3 = 5, clean-up: no 8 in R1C4, no 8 in R2C2, no 8 in R4C7, no 2 in R56C2, no 9 in R6C5

12. 9(3) cage at R3C5 = {126/135} (cannot be {234} because R3C6 only contains 5,6), no 4, 1 locked for C5
12a. R3C6 = {56} -> no 5,6 in R3C5
12b. 4 in N5 locked in R46C4, locked for C4, clean-up: no 2 in R4C4

13. 4,8 in N2 locked in 22(5) cage at R1C5 -> no 4,8 in R1C7
13a. 22(5) cage at R1C5 = {12478/13468/23458}, no 9

14. 45 rule on N8 2 remaining innies R79C4 = 14 = {68} (cannot be [95] which clashes with R1C4), locked for C4 and N8
14a. R7C5 = 7 -> R67C4 = 10 = [28/46], no 1 in R6C4

15. R34C4 = [51] (cannot be [24] which clashes with R6C4), R1C4 = 9, R2C6 = 7, R2C7 = 3, R1C6 = 8, R1C3 = 4, R3C6 = 6, R4C5 = 2, R12C5 = [34], R2C4 = 2, R1C7 = 5 (step 13a), R3C5 = 1, R6C4 = 4, R7C4 = 6 (step 14a), R8C4 = 3, R9C4 = 8, clean-up: no 9 in R2C2, no 6 in R2C3, no 4 in R34C9, no 3 in R5C2, no 1 in R5C9, no 1 in R7C78, no 4 in R8C78

16. R2C23 = [58], R34C9 = [23], R56C9 = [41], R7C78 = [43], R78C6 = [24], R7C3 = 1, clean-up: no 6 in R5C2, no 3 in R6C2

17. R56C2 = [16], R1C2 = 2, clean-up: no 8 in R5C5

18. Naked pair {79} in R9C89, locked for R9 and N9 -> R8C9 = 8, R89C5 = [95], R56C5 = [68], R67C1 = [98], R7C2 = 9, R4C3 = 7, R3C3 = 9, R8C2 = 7, R3C12 = [73], R3C12 = [73], R3C78 = [84], R45C7 = [69], R4C8 = 5, R2C8 = 1 (cage sum)

and the rest is naked singles.


Top
 Profile  
Reply with quote  
Display posts from previous:  Sort by  
Post new topic Reply to topic  [ 7 posts ] 

All times are UTC


Who is online

Users browsing this forum: Bing [Bot] and 50 guests


You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot post attachments in this forum

Search for:
Jump to:  
Powered by phpBB® Forum Software © phpBB Group