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PostPosted: Thu Jan 19, 2012 3:43 pm 
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This 6+ year old puzzle was supposed to be of some historical importance. Legends had it that this was one of the very first "assassin level" killers which started the trend of the earliest ancestors of the killer solving community sharing their walkthroughs online and subsequently lead to the birth of the djape forum, and then later the sudocue forum, both of which have unfortunately vanished now.

Back in the old days it was perceived as a very tough nut to crack. In fact if you go to djape's blog now, you can see how one of the often mentioned solver in this community, udosuk, struggled to solve it and had to use a "minor T & E" approach to break it through.

However, for those who are well equipped with the new killer techniques developed during the recent years, this puzzle would most likely turn out to be just a slightly tricky piece of cupcake. In fact SudokuSolver 3.5.7 only gives it a mediocre rating of 1.40, which means one should be able to solve it using just cage sum analysis as well as simple innies, outies and innie-outies (definitely no chains allowed).

Note it is also not a very well-formed killer upon the modern standard, with the singleton cages and easy initial placements etc.

Hopefully all old and new members of the killer solving community will have no problem cracking this puzzle. Even if you have tackled this puzzle back then, perhaps you will find it useful to reflect on the improvement of your solving skills over the years.

Attachment:
20050927.png
20050927.png [ 13.93 KiB | Viewed 9356 times ]
PS code:
3x3::k:3329:2818:3587:3587:2820:2820:2820:5125:4614:3329:2818:263:3587:4872:4872:4872:5125:4614:7177:7177:7177:7177:7177:4872:5125:5125:4614:1546:1546:1546:4363:4108:3341:3341:4622:4622:7695:7695:7695:4363:4108:1552:4622:4622:4622:7695:7695:2833:2833:4108:1552:4626:4626:4626:4115:5140:5140:4885:7446:7446:7446:7446:7446:4115:5140:4885:4885:4885:5399:280:2585:1818:4115:5140:3099:3099:3099:5399:5399:2585:1818:
Solution:
936142578
481753269
275689431
123864957
648975312
759231846
814326795
362597184
597418623


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PostPosted: Thu Jan 19, 2012 3:46 pm 
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I've written a complete walkthrough of 7 steps (plus a relatively short mop-up).

I am posting it right now, but encrypted it using a (should be) safe and easy online tool: http://www.alltextencryption.com/

Here is the encrypted text of my walkthrough:
##### Encrypted: decrypt with http://www.alltextencryption.com/
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q2cDOCcJldg0gE8wpRn3oCNbmmB40e+L/aV8kcD1Yye0NVY=?64b
##### End encrypted message
To decrypt, just copy and paste the whole encrypted text (including the header and footer lines) to the aforementioned website, into the red box near the bottom of the page, and press the "Decrypt" button. The decrypted text should then appear in the green box above the red box.

Of course you would also need the key/password (to be put into the yellow box above the green box), which I will announce publicly once the first walkthrough (other than mine) is posted. Alternatively, people can ask me privately if they find the need.


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PostPosted: Sun Jan 22, 2012 12:35 am 
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Thanks Simon for posting this "historical" killer.

I never visited the DJAPE site although I've heard good things about it. I first came across Killers on 1st April 2006 when a newspaper-based site that I use first introduced them. At the time Ruud was a moderator for the forum on that site, which was how I was introduced to his site and Assassins a few month later. In a few months it will be the 6th anniversary of Ruud's first Assassin.

I felt that the main difficulty with this DJAPE killer was finding what to do next, after an easy start. With one possible exception, none of my steps were more difficult than the "cage sum analysis as well as simple innies, outies and innie-outies" suggested in Simon's introduction. BTW I wouldn't call a SS score of 1.40 mediocre; it was quite a long time before Ruud's Assassins became harder than that, although recent V1s have been tending to have higher scores and human ratings.

Rating Comment:
I'll rate my walkthrough for DJAPE Daily Killer 27-9-2005 at Hard 1.25. It is a fairly long one but none of my steps are above the 1.25 range; technically my hardest step is a killer ALS block. With hindsight that step can be seen as a hidden killer triple; I'll stick with my rating because of the analysis in a couple of steps and the length of my solving path.

Here is my walkthrough for DJAPE Daily Killer 27-9-2005:
Prelims

a) R2C3 = 1
b) R8C7 = 1
c) R12C1 = {49/58/67}, no 1,2,3
d) R12C2 = {29/38/47/56}, no 1
e) R45C4 = {89}
f) R4C67 = {49/58/67}, no 1,2,3
g) R56C6 = {15/24}
h) R6C34 = {29/38/47/56}, no 1
i) R89C8 = {19/28/37/46}, no 5
j) R89C9 = {16/25/34}, no 7,8,9
k) 11(3) cage at R1C5 = {128/137/146/236/245}, no 9
l) 6(3) cage at R4C1 = {123}
m) 21(3) cage at R8C6 = {489/579/678}, no 1,2,3
n) 18(5) cage at R4C8 = {12348/12357/12456}, no 9

1. R2C3 = 1

2. R8C7 = 1, clean-up: no 9 in R89C8, no 6 in R89C9

3. 45 rule on N4 1 innie R6C3 = 9, R6C4 = 2

4. 45 rule on N6 1 innie R4C7 = 9, R4C6 = 4, R45C4 = [89]
4a. 9 in N9 only in R7C89, locked for R7

5. Naked pair {15} in R56C6, locked for C6 and N5

6. Naked triple {367} in 16(3) cage at R4C5, locked for C5

7. Naked triple {123} in 6(3) cage at R4C1, locked for R4 and N4

8. 5 in R4 only in R4C89, locked for N6
8a. 18(5) cage at R4C8 = {12357/12456} (cannot be {12348} which doesn’t contain 5), no 8, 1 locked for R5 and N6
8b. 1,2,3,4 of 18(5) cage must be in R5C789, no 6,7 in R5C789
8c. 8 in N6 only in R6C789, locked for R6

9. R56C6 = [51]

10. 45 rule on N3 2 innies R12C7 = 7 = {25/34}, no 6,7,8

11. 45 rule on N7 2 innies R89C3 = 9 = {27/36/45}, no 8

12. 45 rule on R6 3 innies R6C125 = 15 = {357/456}
12a. 3 of {357} must be in R6C5 -> no 7 in R6C5
12b. R6C5 = {36} -> no 6 in R6C12
12c. 6 in N4 only in R5C123, locked for R5

13. 11(3) cage at R1C5 = {128/137/146/236/245}
13a. 1 of {128} must be in R1C5 -> no 8 in R1C5
13b. 6,7 of {137/236} must be in R1C6 -> no 3 in R1C6

14. Hidden killer triple 1,2,3 in R3C1, R4C1 and 16(3) cage at R7C1 for C1, R4C1 = {123}, 16(3) cage cannot contain more than one of 1,2,3 -> R3C1 = {23}, 16(3) cage must contain one of 1,2,3

15. 45 rule on N1 2 outies R3C45 = 1 innie R1C3 + 8, min R1C3 = 2 -> min R3C45 = 10, no 1,2 in R3C5

16. 45 rule on C6789 3 outies R127C5 = 11 = {128/245}, no 9, 2 locked for C5

17. 45 rule on C1234 3 outies R389C5 = 18 = {189/459}
17a. 1 of {189} must be in R9C5 -> no 8 in R9C5

18. 2 in N8 only in R7C56, locked for R7
18a. 45 rule on N9 4 outies R7C56 + R89C6 = 23 contains 2 = {2489/2579/2678}, no 1,3

19. 3 in C6 only in R23C6, locked for N2 and 19(3) cage at R2C5, no 3 in R2C7, clean-up: no 4 in R1C7 (step 10)
19a. 19(4) cage at R2C5 = {2359/2368/3457}
19b. 3,6,7,9 only in R23C6 -> R23C6 = {36/37/39}, no 2,8

20. 14(3) cage at R1C3 = {158/167/257/347/356} (cannot be {248} because 2,8 only in R1C3)
20a. 3 of {347/356} must be in R1C3 -> no 4,5 in R1C3

21. 11(3) cage at R1C5 = {128/236/245} (cannot be {146} because 1,4 only in R1C5, cannot be {137} which clashes with 14(3) cage at R1C3), no 7, 2 locked for R1, clean-up: no 9 in R2C2
21a. 4 of {245} must be in R1C5 -> no 5 in R1C5

22. 45 rule on N1 4 outies R12C4 + R3C45 = 22 = {1579/1678/4567} (cannot be {1489} because 8,9 only in R3C5), 7 locked for C4 and N2

23. 19(4) cage at R2C5 (step 19a) = {2359/2368}, no 4, 2 locked for R2, clean-up: no 9 in R1C2, no 3 in R1C7 (step 10)

24. Naked pair {25} in R12C7, locked for C7 and N3
24a. R5C89 = {12} (hidden pair in N6)

25. 11(3) cage at R1C5 (step 21) = {128/245}, no 6
25a. 1,4 only in R1C5 -> R1C5 = {14}

26. R127C5 (step 16) = {128/245}
26a. R1C5 = {14} -> no 4 in R7C5

27. 45 rule on N9 2 outies R7C56 (which must contain 2) = 1 innie R9C7 + 2, no 5 in R7C5, no 4 in R9C7

28. 21(3) cage at R8C6 = {678} (only remaining combination), no 9
28a. Naked quad {2678} in R7C56 + R89C6, locked for N8

29. 9 in C6 only in R23C6, locked for N2
29a. 19(4) cage at R2C5 (step 23) = {2359} (only remaining combination), no 6,8
29b. R2C57 = {25}, locked for R2, clean-up: no 8 in R1C1, no 6 in R1C2

30. 14(3) cage at R1C3 (step 20) = {167/347/356} (cannot be {158} because 1,5 only in R1C4), no 8
30a. 5 of {356} must be in R1C4 -> no 6 in R1C4

31. R3C45 = R1C3 + 8 (step 15)
31a. R1C3 = {367} -> R3C45 = 11,14,15 = [65/74/68/78], R3C4 = {67}

32. 1 in N2 only in R1C45, locked for R1

33. 2,5 in R3 only in 28(5) cage at R3C1 = {25678} (only remaining combination, cannot be {24589} because R3C4 only contains 6,7), no 3,4,9 -> R3C1 = 2
33a. R3C6789 = {1349}, no 6,7,8, 4 locked for N3
33b. Naked pair {34} in R35C7, locked for C7
33c. Killer triple 6,7,8 in R79C7 and R89C8, locked for N9

34. 9 in N1 only in R12C1 = {49}, locked for C1 and N1, clean-up: no 7 in R12C2

35. R389C5 (step 17) = {189/459}
35a. R3C5 = {58} -> no 5 in R89C5

36. 5 in N2 only in R23C5, locked for N2
36a. 14(3) cage at R1C3 (step 30) = {167/347}

37. 19(4) cage at R7C4 = {1369/1459/2359/3457} (cannot be {1279/1567/2467} because 2,6,7 only in R8C3)
37a. 2,6,7 of {1369/2359/3457} -> no 3 in R8C3, clean-up: no 6 in R9C3 (step 11)

38. 20(4) cage at R1C8 = {1379/1469/1478/3467}
38a. 1 of {1379/1469} must be in R3C8 -> no 9 in R3C8
38b. 6,7,8,9 only in R12C8 -> R12C8 = {6789}, no 3,4

39. 16(3) cage at R7C1 = {178/358/367}
39a. Killer pair 5,7 in R6C1 and 16(3) cage, locked for C1

40. 9 in N7 only in 20(4) cage at R7C2 = {1289/1469/2369/2459} (cannot be {1379} which clashes with 16(3) cage at R7C1), no 7
40a. 8 of {1289} must be in R7C3 -> no 8 in R789C2
40b. 2,9 of {2369/2459} must be in R89C2 -> no 3,5 in R89C2

41. 29(5) cage at R7C5 = {23789/24689/25679}
41a. 20(4) cage at R7C2 (step 40) = {1289/1469/2459} (cannot be {2369} = {36}{29} which clashes with 29(5) cage), no 3

42. 45 rule on R7 4 innies R7C1234 = 16 must contain 1 = {1348/1456} (cannot be {1357} because 20(4) cage at R7C2 only contains one of 1,5), no 7, 4 locked for R7

43. 29(5) cage at R7C5 (step 41) = {23789/25679}
43a. Killer pair 3,5 in 29(5) cage and R89C9, locked for N9, clean-up: no 7 in R89C8
43b. 7 in N9 only in R79C7, locked for C7

44. 20(4) cage at R1C8 (step 38) = {1379/1478/3467} (cannot be {1469} which clashes with R5C8 + R89C8, killer ALS block), 7 locked for C8 and N3
[With hindsight this step can be seen
44. Hidden killer triple 1,2,6 in 20(4) cage at R1C8, R5C8 and R89C8 for C8, R5C8 = {12}, R89C8 contains one of 2,6 -> 20(4) cage contains one of 1,6 in C8
44a. 20(4) cage at R1C8 (step 38) = {1379/1478/3467} (cannot be {1469} which contains both of 1,6 in C8), 7 locked for C8 and N3]


45. 12(3) cage at R9C3 = {129/147/345} (cannot be {237} because no 2,7 in R9C3)
45a. 7 of {147} must be in R9C3, 4 of {345} must be in R9C5 -> no 4 in R9C3, clean-up: no 5 in R8C3 (step 11)

46. 19(4) cage at R7C4 (step 37) = {1369/1459/2359/3457}
46a. 4 of {1459} must be in R8C3, 4 of {3457} must be in R8C5 -> no 4 in R78C4

47. 4 in R7 only in R7C23, locked for N7, clean-up: no 5 in R9C3 (step 11)
47a. 20(4) cage at R7C2 (step 41a) contains 4 = {1469/2459}, no 8

48. Killer pair 2,3 in R4C3 and R89C3, locked for C3

49. 14(3) cage at R1C3 (step 36a) = {167} (only remaining combination) -> R1C4 = 1, R1C5 = 4, R8C5 = 9, R9C5 = 1, R9C4 = 4 (hidden single in C4), R9C3 = 7 (step 45), R8C3 = 2 (step 11)

50. Naked pair {68} in R9C67, locked for R9 and 21(3) cage at R8C6 -> R8C6 = 7, R9C8 = 2, R8C8 = 8

51. R8C9 = 4 (hidden single in N9), R9C9 = 3

and the rest is naked singles.


Last edited by Andrew on Sun Jan 22, 2012 9:39 pm, edited 1 time in total.

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PostPosted: Sun Jan 22, 2012 4:44 am 
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Posts: 170
Thanks Andrew. Will go through your walkthrough soon but looks like a lot of our critical steps are similar.

So I guess this puzzle is not as "impossible" as DJAPE and others claimed in his website.

Here is the key to decrypt my walkthrough:
Easy as 1-2-3


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