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udosuk
 Post subject: Re: Assassin 114
PostPosted: Sun Aug 03, 2008 4:10 pm 
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Nasenbaer, I hope I'm not making you feel disappointed but your Twin Killer is nothing new - it has been done many times in djape's forum long ago, under the name of "Frame Killer" or "Kakuro Killer". Basically, all the info of your puzzle can be summarised as the following setup:
Code:
      15 12  18    10  09 21
  +--+--+--++--+--+--++--+--+--+
  |  |  |  ||  |  |  ||  |  |  |
  +--+--+--++--+--+--++--+--+--+
16|  |  |  ||  |  |  ||  |  |  |17
  +--+--+--++--+--+--++--+--+--+
17|  |  |  ||  |  |  ||  |  |  |12
  +--+--+--++--+--+--++--+--+--+
  +--+--+--++--+--+--++--+--+--+
17|  |  |  ||  |  |  ||  |  |  |17
  +--+--+--++--+--+--++--+--+--+
  |  |  |  ||  |  |  ||  |  |  |
  +--+--+--++--+--+--++--+--+--+
08|  |  |  ||  |  |  ||  |  |  |18
  +--+--+--++--+--+--++--+--+--+
  +--+--+--++--+--+--++--+--+--+
17|  |  |  ||  |  |  ||  |  |  |17
  +--+--+--++--+--+--++--+--+--+
15|  |  |  ||  |  |  ||  |  |  |09
  +--+--+--++--+--+--++--+--+--+
  |  |  |  ||  |  |  ||  |  |  |
  +--+--+--++--+--+--++--+--+--+
      09 19  13    17  13 17

So just 24 cages are enough to represent your puzzle. :idea:

And it's an easy one too, probably a 0.5. I wouldn't make it an assassin. :ugeek:

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Nasenbaer
 Post subject: Re: Assassin 114
PostPosted: Sun Aug 03, 2008 9:07 pm 
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udosuk wrote:
Nasenbaer, I hope I'm not making you feel disappointed but your Twin Killer is nothing new - it has been done many times in djape's forum long ago, under the name of "Frame Killer" or "Kakuro Killer".

Well, I'm disappointed. :( I can't remember seeing those Frame Killers. I'll have to go back there and have a look around.

Quote:
And it's an easy one too, probably a 0.5. I wouldn't make it an assassin. :ugeek:

Then I must have missed something when I first solved it 2 weeks ago. I'll have to solve it again.

Cheers,
Nasenbaer
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udosuk
 Post subject: Re: Assassin 114
PostPosted: Mon Aug 04, 2008 12:42 am 
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Here is an example, there are many more.

I might have exaggerated the easiness of the puzzle a little bit. Some others might consider it a 0.75 or 1.0. But at least for me, compared to some other recent assassins it's as easy as breeze. :roll:

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udosuk
 Post subject: Re: Assassin 114
PostPosted: Mon Aug 04, 2008 1:03 pm 
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Okay, here is another text version of your puzzle, in a "Kakuro format":
Code:
   18 15 12    18 17 10    09 21 15
  +--+--+--+  +--+--+--+  +--+--+--+
12|  |  |  |17|  |  |  |16|  |  |  |
  +--+--+--+  +--+--+--+  +--+--+--+
16|  |  |  |12|  |  |  |17|  |  |  |
  +--+--+--+  +--+--+--+  +--+--+--+
17|  |  |  |16|  |  |  |12|  |  |  |
  +--+--+--+  +--+--+--+  +--+--+--+
   10 21 14    14 13 18    23 07 15
  +--+--+--+  +--+--+--+  +--+--+--+
17|  |  |  |11|  |  |  |17|  |  |  |
  +--+--+--+  +--+--+--+  +--+--+--+
20|  |  |  |15|  |  |  |10|  |  |  |
  +--+--+--+  +--+--+--+  +--+--+--+
08|  |  |  |19|  |  |  |18|  |  |  |
  +--+--+--+  +--+--+--+  +--+--+--+
   17 09 19    13 15 17    13 17 15
  +--+--+--+  +--+--+--+  +--+--+--+
17|  |  |  |11|  |  |  |17|  |  |  |
  +--+--+--+  +--+--+--+  +--+--+--+
15|  |  |  |21|  |  |  |09|  |  |  |
  +--+--+--+  +--+--+--+  +--+--+--+
13|  |  |  |13|  |  |  |19|  |  |  |
  +--+--+--+  +--+--+--+  +--+--+--+


And here is a complete walkthrough:
Hidden Text:
Complete Walkthrough for Assassin 114 TwinKiller

1. n6:
23/3 @ r4c7={689} (NT @ c7,n6)
7/3 @ r4c8={124} (NT @ c8,n6)
=> 15/3 @ r4c9={357} (NT @ c9)
=> 10/3 @ r5c7=[613] (r5c7 can't be 8|9)
r4c89 from {2457} can't sum to 8
=> 17/3 @ r4c7: r4c7 can't be 17-8=9
=> 23/3 @ r4c7=[869]

2. n456:
8/3 @ r6c1={125|134}
{68} @ r6 locked @ 19/3 @ r6c4={568} (NT @ r6,n5)
=> 18/3 @ r6c7=[927]
=> 17/3 @ r4c7=[845]
=> 21/3 @ r4c2=[984] (r6c2 can't be 1|3)
11/3 @ r4c4 from {1237}={137} (NT @ r4,n5)
r56c1 with r5c1 from {257} can't sum to 4
=> 10/3 @ r4c1: r4c1 can't be 10-4=6
=> 17/3 @ r4c1=[296]

3. n5:
r5c4 from {249}, r6c4 from {568}
=> r56c4 can't sum to 11 or 13
=> 14/3 @ r4c4: r4c4 can't be 14-11=3 or 14-13=1
=> 14/3 @ r4c4=[725]
r46c5 with r6c5 from {68} can't sum to 4
=> 13/3 @ r4c5: r5c5 can't be 13-4=9
=> 15/3 @ r5c4=[249]

4. n39:
9/3 @ r1c7 from {123457}={135|234} (3 @ c7,n3 locked)
=> r8c79 without 3 can't sum to 4
=> 9/3 @ r8c7: r8c8 can't be 9-4=5
21/3 @ r1c8 from {56789}={579|678} (7 @ c8 locked)
=> r7c89 without 7 can't sum to 16
=> 17/3 @ r7c7: r7c7 can't be 17-16=1
19/3 @ r9c7 can't have 1
=> r79c7 from {2457} can't sum to 8
=> 13/3 @ r7c7: r8c7 can't be 13-8=5
9/3 @ r8c7 from {12346789}={126|234} (2 @ r8,n9 locked)

5. n9:
13/3 @ r7c7 can't be {457}
=> r8c7 can't be 4
r79c9 from {14689} can't sum to 11
=> 15/3 @ r7c9: r8c9 can't be 15-11=4
=> 9/3 @ r8c7 from {1236}={126}
=> r8c8=6
r79c9 from {1489} can't sum to 14
=> 15/3 @ r7c9: r8c9 can't be 15-14=1
=> 9/3 @ r8c7=[162]
15/3 @ r7c9: r79c9=15-2=13={49} (NP @ c9,n9)
r7c89 from {34589} can't sum to 10
=> 17/3 @ r7c7: r7c7 can't be 17-10=7
=> 13/3 @ r7c7=[517]
=> r79c8={38} (NP @ c8)

6. n7:
9/3 @ r7c2 from {123567}={126|135} with r8c2 from {35}
=> 9/3 @ r7c2={135} (NT @ c2,n7)
r8c13 from {4789} can't sum to 10
=> 15/3 @ r8c1: r8c2 can't be 15-10=5
=> 9/3 @ r7c2=[135]
=> 15/3 @ r8c1: r8c13=15-3=12={48} (NP @ r8,n7)
13/3 @ r9c1=[652]
=> 19/3 @ r7c3=[982]
=> 17/3 @ r789c1=[746]

7. n12458:
13/3 @ r7c4=[391]
=> 15/3 @ r7c5=[258]
=> 13/3 @ r4c5=[346]
10/3 @ r4c1=[253]
=> 14/3 @ r4c3=[671]
r2c2 from {267}, r2c3 from {345}
=> r2c23 can't sum to 8 or 15
=> 16/3 @ r2c1: r2c1 can't be 16-8=8 or 16-15=1
=> 16/3 @ r2c1=[925]
r1c23 from {3467} can't sum to 4
=> 12/2 @ r1c1: r1c1 can't be 12-4=8
=> 12/2 @ r1c1=[174]
=> 17/3 @ r1c4=[692]

All naked singles from here.

Despite the length, all moves are very straight forward. With some time most Killer player can solve it without much trouble. So I stick by my rating of 0.5. :ugeek:

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mhparker
 Post subject: Assassin 114 V2
PostPosted: Mon Aug 04, 2008 8:57 pm 
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Nasenbaer wrote:
Time for V2 (actually more like V1.5)...

Many thanks for this great little puzzle, Nasenbaer! You certainly seem to be becoming master of the Killer-X! :salute:

I'll certainly go along with the 1.5 rating. Indeed, I'm surprised that Afmob didn't quite want to put it in this category, after using a Turbot fish (step 5j), and a generalized Swordfish (step 7a). For me, anything requiring the use of chains is a 1.5 rating at least...

Unfortunately, I haven't got time for a full WT, but (unsurprisingly) managed to get to the following grid state pretty easily:

Code:
.-----------------------------------.-----------.-----------.-----------.-----------------------------------.
| 135         135         135       | 2         | 7         | 8         | 469         469         469       |
:-----------------------------------:           |           |           :-----------------------------------:
| 268         26          268       | 4         | 9         | 1         | 357         357         357       |
:-----------------------------------:           |           |           :-----------------------------------:
| 479         479         479       | 3         | 6         | 5         | 12          128         128       |
:-----------.-----------.-----------+-----------'-----------'-----------+-----------.-----------.-----------:
| 123456789 | 123456789 | 123456789 | 15          23          49        | 123456789 | 3456789   | 123456789 |
|           |           |           :-----------------------------------:           |           |           |
| 123459    | 123459    | 123459    | 7           8           6         | 123459    | 3459      | 123459    |
|           |           |           :-----------------------------------:           |           |           |
| 123456789 | 123456789 | 123456789 | 15          23          49        | 123456789 | 3456789   | 123456789 |
:-----------'-----------'-----------+-----------.-----------.-----------+-----------'-----------'-----------:
| 789         789         79        | 6         | 5         | 2         | 134         134         134       |
:-----------------------------------:           |           |           :-----------------------------------:
| 126         126         126       | 8         | 4         | 3         | 579         579         579       |
:-----------------------------------:           |           |           :-----------------------------------:
| 345         345         345       | 9         | 1         | 7         | 268         268         26        |
'-----------------------------------'-----------'-----------'-----------'-----------------------------------'

From here, I took the following route:

next 5 steps:
35. Skewed X-Wing: 7 in D/ and D\ locked in R37C3+R28C8
35a. -> no 7 elsewhere in C38

36. 20(3) at R4C8 (prelim d) = {389/569} (no 4)
36a. 9 locked for C8 and N6

37. Skewed X-Wing(2): 6 in D/ and D\ locked in R28C2+R19C9
37a. -> no 6 elsewhere in C29

38. Uniqueness: 13(3) at R4C9 cannot contain both of {57}, because it would force R28C78 to deadly rectangle on {57}
38a. -> {157} combo blocked
38b. -> 13(3) at R4C9 = {148/238/247} (no 5)

39. From step 38b, 13(3) either contains a 2, or...
39a. ...both of {18} -> R3C9 = 2
39b. -> 2 locked in R3456C9 for C9

This knocks the 2 off R9C9, which makes a big difference to the puzzle.


P.S. Haven't tried the twin killer version yet. Maybe a 0.5-rating for udosuk and a 1.0+ for everyone else? :)

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Last edited by mhparker on Tue Aug 12, 2008 6:18 am, edited 1 time in total.

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Para
 Post subject: Re: Assassin 114
PostPosted: Mon Aug 04, 2008 11:40 pm 
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Hi

I agree with udosuk on the twin killer sudoku. I have done these frame killers before too and have also done loads of kakuros(which i'm not too bad at creating either). It's not that hard, prob 0.5 (hard). If you have done enough kakuros it's really a breeze and as kakuro has a lot of similarities to killer sudoku, it isn't really that hard. You just have to learn to think in a little bit of a different way.

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udosuk
 Post subject: Re: Assassin 114
PostPosted: Wed Aug 06, 2008 8:53 am 
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Para wrote:
I agree with udosuk on the twin killer sudoku. I have done these frame killers before too and have also done loads of kakuros(which i'm not too bad at creating either). It's not that hard, prob 0.5 (hard). If you have done enough kakuros it's really a breeze and as kakuro has a lot of similarities to killer sudoku, it isn't really that hard. You just have to learn to think in a little bit of a different way.

Thanks Para. I think this raises an interesting issue about Killer Sudoku solving styles. There are a few types of Killer players:

1. Those good with combination analysis, which is an essential skill in Kakuro solving (these players won't have any difficulty doing this Twin Killer at all).

2. Those good with cage conflicts, e.g. cage blocking, killer subsets (e.g. the killersudokuonline.com puzzles require a lot of these skills).

3. Those good with large & complex innies/outies/innie-outies/LOLs (e.g. some of JC's INSANE puzzles).

4. Those good with advanced vanilla techniques (e.g. fishes, ALS, chains, uniqueness).

There can be more...

Of course there are many players with 2 or more of these attributes, and one with all of these in the arsenal is considered a complete player. An analogy is tennis, where we have clay court, grass court, hard court specialists, and some are more complete players than others... :ugeek:

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Nasenbaer
 Post subject: Re: Assassin 114
PostPosted: Wed Aug 06, 2008 10:41 am 
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I did the Twin Killer again, and I have to say it really is much too easy. :oops: Sorry about that. I would rate it now a 0.75 (because you still have to take a lot of steps). Somehow I was fooled by the orginal X-version of the left one which was rated very high.

If anyone is interested in more killers of the original design here's a cookbook to create your own.

I'm using 4 different programs: SudoCue, SumoCue, JSudoku and SSolver. But you can use any program(s) of your preference.

Cookbook
Preliminaries:
1. SumoCue: Load a killer with this design from above. (Or create your own design with cage sizes = 0)
2. SudoCue: Be sure you selected the correct variant (X).

Create a solution:
SudoCue:
3. Create a new sudoku puzzle (Ctrl-Shift-1)
4. Solve it (F9)
5. Copy solution to clipboard (Edit -> Copy solution)

Create a new killer:
SumoCue:
6. Enter Setup-Mode (F2)
7. Insert solution from clipboard (Ctrl-V)
8. Enter Run-Mode (F3)
9. Copy killer to clipboard (Edit -> Copy (PS))

Uniqueness:
JSudoku:
10. Insert killer from clipboard (Ctrl-V)
11. Check for uniqueness (Shift-V)
12. If the bottom line tells you "... at least 2 solutions ..." then go back to step 3.

Rating:
SSolver:
13. Insert killer from clipboard (Ctrl-V)
14. Rate the puzzle (F7)
15. If the rating is too low or too high for you then go back to step 3.

Congratulations! You just created a new killer! Why not share it with the others? ;)

Note: In my experience only approximately 1 in 10 tries passes the uniqueness test. But since each iteration takes less than a minute this is acceptable.

Note 2: You could also use this cookbook for other killers with a different design. But then you will also have to look out for cage conflicts when crossing nonet borders. If I remember correctly those would be highlighted by SumoCue.

Have fun!

Cheers,
Nasenbaer
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Andrew
 Post subject: Re: Assassin 114
PostPosted: Thu Aug 07, 2008 6:34 am 
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TwinKiller was a fun puzzle. Thanks Nasenbaer!

I've never tried to solve a Kakuro or a twin killer before; I just applied my normal methodical approach to solving it.

I'll rate TwinKiller at 0.75; it might even be considered to be Easy 1.0. The steps weren't difficult but it was long and at times it was hard to spot which 3-cell cage should be analysed next.

udosuk and Para suggest the rating should only be 0.5 even though udosuk then gave a very nice walkthrough using elimination solving. Mike's definition of 0.5 is a killer that can be solved with very few "pencil marks". If it can be solved (almost) as easily that way then I'll accept 0.5 but I feel that the combination analysis is much easier using elimination solving.

Another reason I'll give for rating it 0.75 is that 0.5 is defined as being equivalent to the hardest newspaper puzzles, which I think are equivalent to the hardest killers on http://www.sudoku.org. TwinKiller took me significantly longer to solve than any of those killers, even though it only required combination analysis with a few killer pairs.

Edit. I've added my walkthrough for completeness; don't know why I didn't post it at the time.

Here is my walkthrough for A114 Twin Killer:
This is a TwinKiller. There are Vertical and Horizontal cages for each Nonet.

Prelims, for the first diagram and then the second diagram

a) R123C6 = {127/136/145/235}, no 8,9
b) R456C1 = {127/136/145/235}, no 8,9
c) R456C2 = {489/579/678}, no 1,2,3
d) R4C456 = {128/137/146/236/245}, no 9
e) R456C7 = {689}, locked for C7 and N6
f) R456C8 = {124}, locked for C8 and N6
g) R6C456 = {289/379/469/478/568}, no 1
h) R8C789 = {126/135/234}, no 7,8,9
i) R9C789 = {289/379/469/478/568}, no 1
j) R123C7 = {135/234}, 3 locked for C7 and N3
k) R123C8 = {579/678}, 7 locked for C8 and N3
l) R5C123 = {389/479/569/578}, no 1,2
m) R6C123 = {125/134}, 1 locked for R6 and N4
n) R789C2 = {126/135/234}, no 7,8,9
o) R789C3 = {289/379/469/478/568}, no 1
p) R7C456 = {128/137/146/236/245}, no 9
q) R8C456 = {489/579/678}, no 1,2,3

1. R5C789 = {136} (only remaining combination because R5C7 only contains 6,8,9) = [613]
1a. Naked pair {57} in R46C9, locked for C9

2. R456C2 = {489/579} (cannot be {678} because R6C2 only contains 4,5), no 6, 9 locked for C2 and N4
2a. R6C2 = {45} -> no 4,5 in R45C2

3. R5C123 = {479/578}, 7 locked for R5 and N4
3a. 2 in R5 locked in R5C456, locked for N5

4. R4C789 = {278/458} (only remaining combinations) -> R4C7 = 8, R4C2 = 9, R6C7 = 9

5. R6C123 = {125/134}
5a. R6C23 = {45} -> no 4,5 in R6C13
5b. Killer pair 2,4 in R6C123 and R6C8, locked for R6

6. 6,8 in R6 locked in R6C456, locked for N5
6a. R6C456 = {568} (only remaining combination), locked for R6 and N5 -> R6C2 = 4, R6C8 = 2, R4C8 = 4, R6C9 = 7, R4C9 = 5, R5C2 = 8 (step 2)
6b. Naked pair {13} in R6C13, locked for N4

7. R789C2 = {126/135}, 1 locked for C2 and N7
7a. 7 in C2 locked in R123C2, locked for N1

8. R456C1 = {127/235} (only remaining combinations, cannot be {136} because 1,3 only in R6C1) -> R4C1 = 2, R4C3 = 6

9. R8C789 = {126/135/234}
9a. 6 of {126} must be in R8C8 -> no 6 in R8C9
9b. 3 of {135} must be in R8C8 -> no 5 in R8C8

10. R123C3 = {129/345} (cannot be {138} which clashes with R6C3), no 8
10a. R56C3 = [53/17]
10b. Killer pair 1,3 in R123C3 and R6C3, locked for C3
10c. Killer pair 1,5 in R123C3 and R56C3, locked for C3

11. 8 in N1 locked in R123C1, locked for C1
11a. R123C1 = {189/468}, no 3,5

12. R456C5 = {148/238/346} (cannot be {139/157} because 1,3,7 only in R4C5, cannot be {247} because 2,4 only in R5C5, cannot be {256} because 5,6 only in R6C5), no 5,7,9

13. R456C4 = {257} (only remaining combination, cannot be {149/239/248} because 2,4,9 only in R5C4, cannot be {158/356} because 5,6,8 only in R6C4, cannot be {167/347} because 1,3,7 only in R4C4) = [725], R5C56 = [49]

14. R123C6 = {127/145/235} (cannot be {136} which clashes with R4C6), no 6
14a. Killer pair 1,3 in R123C6 and R4C6, locked for C6

15. R789C6 = {278/458/467}
15a. R789C5 = {159/258/267} (cannot be {168} which clashes with R6C5, cannot be {357} which clashes with R789C6), no 3

16. 3 in N8 locked in R789C4, locked for C4
16a. R789C4 = {139/346}, no 8
16b. 8 in C4 locked in R123C4, locked for N2

17. R8C456 = {489/579/678}
17a. 6 of {678} must be in R8C4 -> no 6 in R8C56

18. R789C5 (step 15a) = {159/258/267}
18a. 7 of {267} must be in R8C5 -> no 7 in R79C5

19. R123C5 = {179/359} (cannot be {269} which clashes with R789C5), no 2,6, 9 locked for C5 and N2
19a. Killer pair 1,3 in R123C5 and R4C5, locked for C5

20. R123C4 = {468} (only remaining combination), locked for C4 and N2 -> R8C4 = 9
20a. 2 in N2 locked in R123C6, locked for C6

21. R8C456 (step 17) = {489/579}
21a. 4 of {489} must be in R8C6 -> no 8 in R8C6

22. R7C456 = {128/146/236} (cannot be {137} because 1,3 only in R7C4, cannot be {245} because R7C4 only contains 1,3), no 5,7
22a. 8 of {128} must be in R7C6 -> no 8 in R7C5

23. R9C456 = {148/157/238/346} (cannot be {247/256} because R9C4 only contains 1,3)
23a. 4,7 of {157/346} must be in R9C6 -> no 5,6 in R9C6

24. R9C123 = {148/157/238/247/256/346} (cannot be {139} which clashes with R9C4), no 9

25. 9 in N7 locked in R7C13, locked for R7
25a. R7C123 = {179/359} (cannot be {269} which clashes with R7C5), no 2,4,6,8
25b. Killer pair 1,3 in R7C123 and R7C4, locked for R7
25c. 1 in N9 locked in R8C79, locked for R8
25d. R8C789 = {126/135}, no 4

26. R789C3 = {289/478}
26a. R7C3 = {79} -> no 7 in R89C3

27. R789C1 = {359/467}
27a. 9 of {359} must be in R7C1 -> no 3,5 in R7C1
27b. 7 of {467} must be in R7C1 -> no 7 in R89C1

28. R7C123 (step 25a) = {179} (cannot be {359} because 3,5 only in R7C2) -> R7C2 = 1, R79C4 = [31], R7C13 = {79}, locked for R7
28a. R7C456 (step 22) = {236} -> R7C56 = [26], R6C56 = [68]
28b. R789C6 (step 15) = {467} (only remaining combination), R89C6 = {47}, locked for C6 and N8
28c. R123C6 (step 14) = {235} (only remaining combination), locked for C6 and N2 -> R4C56 = [31]

29. R9C7 = 7 (hidden single in C7), R89C6 = [74]
29a. 9 in R9 locked in R9C89 -> R9C789 = {379} -> R9C89 = [39], R8C8 = 6, clean-up: no 8 in R123C8 (prelim k), no 5 in R8C7 (step 25d)
29b. Naked triple {579} in R123C8, locked for C8 and N3 -> R7C8 = 8, R7C79 = [54], clean-up: no 1 in R123C7 (prelim j)
29c. Naked triple {234} in R123C7, locked for C7 and N3 -> R8C79 = [12]

30. R9C123 (step 24) = {256} (only remaining combination), R9C3 = 2, R9C12 = {56}, locked for R9 and N7 -> R8C123 = [438], R89C5 = [58], clean-up: no 6 in R123C1 (step 11a), no 1,9 in R123C3 (step 10)
30a. Naked triple {345} in R123C3, locked for C3 and N1 -> R56C3 = [71], R56C1 = [53], R7C13 = [79], R9C12 = [65]

31. R1C123 = {147/156} (cannot be {129/138} because 1,8,9 only in R1C1, cannot be {237/246/345} because R1C1 only contains 1,8,9) -> R1C1 = 1, R1C23 = [65/74]

32. R1C456 = {269/278} (cannot be {368/458} because R1C5 only contains 7,9, cannot be {359} because 3,5 only in R1C6, cannot be {467} because 4,6 only in R1C4) -> R1C6 = 2, no 4 in R1C4
32a. Naked pair {68} in R1C49, locked for R1 -> R1C2 = 7, R1C5 = 9, R1C8 = 5, R1C3 = 4, R1C7 = 3, R1C4 = 6 (step 32), R1C9 = 8

33. R3C789 = {129/147} (cannot be {246} because 2,4 only in R3C7) -> R3C9 = 1

and the rest is naked singles and a cage total.

BTW What is the definition of Kakuro? Is it just a Killer where all the cages are straight and one cell thick? Possibly Kakuro doesn't have nonets either?


Last edited by Andrew on Wed Sep 08, 2010 8:25 pm, edited 1 time in total.

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Para
 Post subject: Re: Assassin 114
PostPosted: Thu Aug 07, 2008 5:45 pm 
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Andrew wrote:
BTW What is the definition of Kakuro? Is it just a Killer where all the cages are straight and one cell thick? Possibly Kakuro doesn't have nonets either?
A kakuro is basically a number crossword where the clues indicate the sums of the digits and all digits in one clue have to be different. There's no row/column/nonet constraint. Clues under the \ are vertical; above the \ are horizontal.
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