SudoCue Users Forum Index SudoCue Users
A forum for users of the SudoCue programs and the services of SudoCue.Net
 
 FAQFAQ   SearchSearch   UsergroupsUsergroups   RegisterRegister 
 ProfileProfile   Log in to check your private messagesLog in to check your private messages   Log inLog in 

Ruudiculous tag Killer - Uluru
Goto page Previous  1, 2
 
Post new topic   Reply to topic    SudoCue Users Forum Index -> Weekly Assassins
View previous topic :: View next topic  
Author Message
Andrew
Grandmaster
Grandmaster


Joined: 11 Aug 2006
Posts: 300
Location: Lethbridge, Alberta

PostPosted: Thu Apr 08, 2010 10:05 pm    Post subject: Reply with quote

I took part in the "tag" solution although I only played a minor part with one significant contribution. That was only about 3 weeks after I joined this site and I was still a Newbie to solving Assassins level killers.

Since I've been working on puzzles in my Unfinished solver I decided to have another go at Uluru, this time as a solo effort.

This time I found a completely different way to solve it. I spotted the first two lines of step 13 fairly early but it took me a few steps before I was in a position to use it.

I'll rate my walkthrough for Uluru at 1.5 because of my permutation analysis in step 13c.

Here is my walkthrough for Uluru. I've included a comment for SudokuEd, who has already seen my walkthrough, plus a couple of comments after I looked at the SudokuSolver log which Ed kindly provided. Please see my next message for an interesting step from the SS log.

Prelims

a) R45C9 = {29/38/47/56}, no 1
b) R56C8 = {29/38/47/56}, no 1
c) R67C9 = {18/27/36/45}, no 9
d) R8C23 = {59/68}
e) 22(3) cage in N1 = {589/679}
f) 22(3) cage in N3 = {589/679}
g) 9(3) cage in N3 = {126/135/234}, no 7,8,9
h) 11(3) cage at R4C3 = {128/137/146/236/245}, no 9
i) 11(3) cage at R5C1 = {128/137/146/236/245}, no 9
j) 21(3) cage in N8 = {489/579/678}, no 1,2,3
k) 14(4) cage at R3C3 = {1238/1247/1256/1346/2345}, no 9
l) 14(4) cage at R7C6 = {1238/1247/1256/1346/2345}, no 9

Steps resulting from Prelims
1a. 22(3) cage in N1 = {589/679}, 9 locked for N1
1b. 22(3) cage in N3 = {589/679}, 9 locked for N3

2. 45 rule on C1 2 outies R19C2 = 4 = {13}, locked for C2
2a. 17(3) cage in N7 = {179/359/368} (only combinations which contain 1 or 3), no 2,4
2b. R9C2 = {13} -> no 1,3 in R89C1
2c. Killer pair 8,9 in 17(3) cage and R8C23, locked for N7
[There was also Killer pair 6,9 in 17(3) cage and R8C23, locked for N7 but I didnít spot that.]

3. 21(5) cage at R1C3 = {12459/12468/12567/23457} (other combinations clash with R1C2), 2 locked for R1
3a. Killer pair 1,3 in R1C2 and 21(5) cage at R1C3, locked for R1
3b. 21(5) cage at R9C3 = {12459/12468/12567/23457} (other combinations clash with R9C2), 2 locked for R9
3c. Killer pair 1,3 in R9C2 and 21(5) cage at R9C3, locked for R9

4. 45 rule on R9 2 outies R8C19 = 9 = [54/63/72/81], no 9, no 5,6,7,8 in R8C9
4a. 17(3) cage in N7 (step 2a) = {179/359/368}
4b. 9 of {179/359} must be in R9C1 => no 5,7 in R9C1
4c. 16(3) cage in N9 = {169/178/259/268/349/358/367/457}

5. 45 rule on R89 2 outies R7C56 = 13 = {58/67}/[94], no 4 in R7C5, no 1,2,3 in R7C6

6. 45 rule on C9 2 outies R19C8 = 1 innie R3C9 + 13
6a. Min R19C8 = 14, no 4 in R9C8
6b. Max R19C8 = 17 -> max R3C9 = 4

7. 45 rule on C12 3 outies R368C3 = 1 innie R7C2 + 18
7a. Min R7C2 = 2 => min R368C3 = 20 -> no 1,2 in R6C3
7b. Max R368C3 = 24 -> max R7C2 = 6

8. 45 rule on N69 3 innies R8C78 + R9C7 = 11 = {128/137/146/236/245}, no 9
8a. 45 rule on N69 2 outies R78C6 = 1 innie R9C7 + 3
8b. Min R78C6 = 5 -> min R9C7 = 2
[At this stage I missed 9 in C7 only in R4567C7, locked for 32(6) cage, no 9 in R47C8. However I donít think this made much difference to my solving path; these eliminations are made in steps 15 and 17.]

9. 45 rule on N7 4 innies R7C123 + R9C3 = 14 = {1247/2345} (cannot be {1256} which clashes with R8C23, cannot be {1346} which clashes with R9C2), no 6

10. 45 rule on N4 2(1+1) outies R4C4 + R7C1 = 1 innie R4C1
10a. Min R4C4 + R7C1 = 2 -> min R4C1 = 2
[Ed pointed out that R4C4 and R7C1 cannot both be 1, because there would be no place left for 1 in N4, so min R4C1 = 3. I got this result a different way in the next step.]

11. 45 rule on N1 2 innies R12C3 = 1 outie R4C1 + 2
11a. Min R12C3 = 5 (cannot be {12} because no 1 in R4C1, cannot be {13} which clashes with R1C2) -> min R4C1 = 3

12. 45 rule on R9 4 innies R9C1289 = 24 = {1689/3489/3579/3678} (other combinations donít contain 1 or 3 for R9C2)
12a. 9 of {1689} must be in R9C1 (17(3) cage in N7 cannot be [881]), 4 of {3489} must be in R9C9, 9 of {3579} must be in R9C1 -> no 9 in R9C9

13. 45 rule on R19+C19 (counting corner cells twice) 5 innies R19C19 + R3C9 = 31
[Note than R19C19 "see" each other because this is a Killer-X so they must all be different.]
13a. R3C9 = {1234} -> R19C19 = 27,28,29,30 must contain 9 which is only in R1C9 + R9C1, locked for D/, clean-up: no 5 in R8C3
13b. R3C9 + R19C19 = 1{6789}/2{5789}/3{4789/5689}/4{4689/5679}
13c. 3{4789}/4{4689} must have the 4 for R19C19 in R1C1 (16(3) cage in N9 (step 4c) cannot be {349} when 3 in R3C9 and 4 of {457} must be in R8C9) -> no 4 in R9C9

14. R9C1289 (step 12) = {1689/3579/3678}
14a. 9 of {1689} must be in R9C1 (17(3) cage in N7 cannot be [881]), 9 of {3579} must be in R9C1 -> no 9 in R9C8

15. 9 in N9 only in R7C78, locked for R7 and 32(6) cage at R4C7, clean-up: no 4 in R7C6 (step 5)

16. 9 in N6 only in the two 11(2) cages -> one of the 11(2) cages must be {29}, locked for N6, clean-up: no 7 in R7C9

17. R7C7 = 9 (hidden single in C7), placed for D\
17a. R3C2 = 9 (hidden single in N1)

18. 45 rule on N6 2 remaining outies R7C89 = 9 = {18/36/45}/[72], no 2 in R7C8

19. 14(4) cage at R7C6 = {1238/1247/1256/1346/2345}
19a. 7,8 of {1238/1247} must be in R7C6 -> no 7,8 in R8C678

[Even though I used 45s on N69 in step 8, Iíve only now spotted ones which use larger groups of nonets.]
20. 45 rule on N689 1 outie R9C3 = 1 innie R7C4, no 6,8 in R7C4

21. 45 rule on N6789 2 outies R56C4 = 1 innie R7C1 + 12
21a. Min R56C4 = 13, no 1,2,3, no 4 in R5C4
21b. Max R56C4 = 17 -> max R7C1 = 5

22. 45 rule on N6789 4 innies R7C1234 = 14 = {1247/2345}, 2,4 locked for R7, clean-up: no 5,7 in R7C8 (step 18), no 5 in R7C9 (step 18), no 4,5,7 in R6C9
22a. 7 in N9 only in R9C789, locked for R9, clean-up: no 7 in R7C4 (step 20)

23. R45C9 = {29/47/56} (cannot be {38} which clashes with R67C9), no 3,8

24. Hidden killer quad 1,2,3,4 in R3C9, R45C9, R67C9 and R8C9 for C9, R3C9 = {1234}, R67C9 contains one of 1,3, R8C9 = {1234} -> R45C9 must contain one of 2,4
24a. R45C9 (step 23) = {29/47} (cannot be {56} which doesnít contain 2 or 4), no 5,6

25. 16(3) cage in N9 = {178/358/367/457} (cannot be {268} which clashes with R7C89), no 2, clean-up: no 7 in R8C1 (step 4)

26. R7C3 = 7 (hidden single in N7), placed for D/, clean-up: no 6 in R7C56 (step 5)

27. Naked pair {58} in R7C56, locked for R7 and N8, clean-up: no 1 in R7C89 (step 18), no 1,8 in R6C9, no 5 in R9C3 (step 20)
27a. Naked pair {36} in R7C89, locked for R7 and N9, clean-up: no 6 in R8C1 (step 4), no 3 in R9C3 (step 20)
27b. Naked pair {36} in R67C9, locked for C9

28. 16(3) cage in N9 (step 25) = {178/457}, 7 locked for N9

29. 17(3) cage in N7 (step 2a) = {359/368} -> R9C2 = 3, R1C2 = 1
29a. R89C1 = [59/86], no 8 in R9C1

30. R8C6 = 3 (hidden single in N8)
30a. 14(4) cage at R7C6 (step 19) = {1238/2345}, 2 locked for N9
30b. R7C6 = {58} -> no 5 in R8C78
30c. Naked triple {124} in R8C789, locked for R8 and N9

31. 45 rule on N3 3 innies R123C7 = 14 = {167/248/347} (cannot be {158} which clashes with R9C7, cannot be {257/356} which clash with 22(3) cage), no 5

32. 21(5) cage at R1C3 (step 3) = {23457} (only remaining combination), locked for R1
32a. 22(3) cage in N3 = {589/679}
32b. 5,7 only in R2C9 -> R2C9 = {57}

33. Killer pair 6,8 in R1C1 and 22(3) cage, locked for N1

34. R89C1 (step 29a) = [59] (cannot be [86] which clashes with R1C1) -> R8C1 = 5, R9C1 = 9, placed for D/, R1C9 = 8, placed for D/, R1C1 = 6, placed for D\, R8C2 = 6, placed for D/, R8C3 = 8, R1C8 = 9, R2C9 = 5 (step 32b), R9C9 = 7, placed for D\, R2C2 = 8, R3C3 = 5, both placed for D\, clean-up: no 4 in R45C9
34a. Naked pair {29} in R45C9, locked for C9 and N6

35. R19C19 = [6897] = 30 -> R3C9 = 1 (step 13b), R8C9 = 4, R9C8 = 5 (step 28), R9C7 = 8, clean-up: no 6 in R56C8
35a. R3C9 = 1 -> R23C8 = 8 = {26} -> R2C8 = 2, placed for D/, R3C8 = 6, R7C8 = 3, R67C9 = [36], R8C8 = 1, placed for D\, R8C7 = 2, R7C6 = 8 (step 30a), R7C5 = 5, clean-up: no 8 in R56C8

36. Naked pair {47} in R56C8, locked for N6 -> R4C8 = 8

37. 1,8 in C1 only in 11(3) cage at R5C1 = {128} (only remaining combination), locked for C1

38. R6C3 = 9 (hidden single in C3), R456C2 = 14 = {257} (only remaining combination), locked for C2 and N4 -> R7C2 = 4, R6C4 = 5

39. R7C1 = 2 (hidden single in C1), R7C4 = 1, R5C4 = 9 (cage sum), R45C9 = [92], R8C45 = [79], R9C3 = 1

40. 11(3) cage at R4C3 = {236} (only remaining combination) -> R4C4 = 2, R45C3 = {36}, locked for C3 and N4, R2C3 = 4, R1C3 = 2, R4C1 = 4, R6C6 = 4, R5C5 = 3, placed for D/

and the rest is naked singles.
Back to top
View user's profile Send private message
Andrew
Grandmaster
Grandmaster


Joined: 11 Aug 2006
Posts: 300
Location: Lethbridge, Alberta

PostPosted: Thu Apr 08, 2010 10:44 pm    Post subject: Reply with quote

Thanks Ed for the SSv3.3 log for Uluru. It used an interesting breakthrough step. Here is the position after step 100.

Code:
.-------------------------------.-------------------------------.-------------------------------.
| 68        1         23457     | 23457     23457     2457      | 2347      689       89        |
| 234578    5678      234578    | 3456789   123456789 12456789  | 1234678   1234      57        |
| 234578    9         5678      | 12345678  12345678  1245678   | 12347     23456     124       |
:-------------------------------+-------------------------------+-------------------------------:
| 23456789  245678    12345678  | 1234      56789     1247      | 1345678   1345678   2479      |
| 1234678   245678    1245678   | 5689      1234      1245678   | 1345678   23456789  2479      |
| 1234678   245678    123456789 | 5689      56789     124       | 1345678   23456789  36        |
:-------------------------------+-------------------------------+-------------------------------:
| 12        247       1247      | 124       58        58        | 9         36        36        |
| 58        568       689       | 679       679       3         | 124       124       14        |
| 69        3         124       | 12469     12469     12469     | 58        578       578       |
'-------------------------------.-------------------------------.-------------------------------'


First SS found
101. Conjugate pair r2c9=5=r9c9 in c9
101a. Candidate 5 removed from r2c2
101b. Cage sum in cage 22(3) n1 - removed 8 from r3c3

which in my words is 5 in c9 only in r29c9 -> no 5 in r2c2 (using the diagonal), then no 8 in r3c3

Next SS found the interesting
102. X-Cycle on candidate 5 at r2c9=r3c8 - r3c3=r9c9
102a. Removed candidate 5 from r3c1456

A complicated step, possibly some sort of "Fish". In my words it seems to be
5 in c9 only in r29c9, 5 in n3 only in r2c9+r3c8, 5 in d\ only in r3c3+r9c9 -> 5 in r3 only in r3c38, locked for r3
Back to top
View user's profile Send private message
Display posts from previous:   
Post new topic   Reply to topic    SudoCue Users Forum Index -> Weekly Assassins All times are GMT
Goto page Previous  1, 2
Page 2 of 2

 
Jump to:  
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 vote in polls in this forum


Powered by phpBB © 2001, 2005 phpBB Group