Fun puzzle. So many methods to solve. No CHAINS required.

Post puzzles for others to solve here.

Postby wapati » Fri Oct 20, 2006 6:13 am

RW, windows is safe on the Internet.

This puzzle is about ludicrous, I don't use that word often.

Code: Select all
4.....3..
78.....6.
.91...2.8
84.5.2...
...6.....
..7.84...
1..2..7..
.6...895.
..8..9.42
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Postby ravel » Fri Oct 20, 2006 7:56 am

wapati wrote:RW, windows is safe on the Internet.
LOL, you should say this on a hackers site.
My former boss used to ask "when will you finally learn to write bug free programs ?"

Nice puzzle.
[Added solution:]
Code: Select all
 4    25    256  | 8     125679  1567 | 3    19     159       
 7    8     235  | 139   12359   135  | 4    6      159       
 356  9     1    | 4     356     356  | 2    7      8   
--------------------------------------------------------     
 8    4     36   | 5     139     2    | 16   139    7         
 359  1235  235  | 6     1379    137  | 8    1239   4         
 369  123   7    | 139   8       4    | 5    1239   169   
--------------------------------------------------------           
 1    35    9    | 2     4       56   | 7    8      36         
 2    6     4    | 7     13      8    | 9    5      13         
 35   7     8    | 13    56      9    | 16   4      2         

r6c9=6 => r7c9=3 => r8c9=1 (=> r8c5=3) => r9c7=6 => r9c5=5 => r3c5=6 => r3c1<>6 => r6c1=6
ravel
 
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Postby RW » Fri Oct 20, 2006 9:25 am

wapati wrote:RW, windows is safe on the Internet.

Great! I'll uninstall all unnecessary internet security programs and virus protection software immediately!:)

wapati wrote:This puzzle is about ludicrous, I don't use that word often.

That one seems to "require" more if you restrict yourself to pattern based techniques up to XYZ. Couldn't find anything shorter than colors + XYZ + multicolors.

RW
Last edited by RW on Fri Oct 20, 2006 5:54 pm, edited 1 time in total.
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Postby ravel » Fri Oct 20, 2006 10:59 am

RW wrote:Couldn't find anything shorter than colors + XYZ + multicolors.
Code: Select all
 4    25    256  | 8     125679  1567 | 3    19     159       
 7    8     235  | 139   12359   135  | 4    6      159       
 356  9     1    | 4    #356     356  | 2    7      8   
----------------------------------------------------     
 8    4     36   | 5     139     2    | 16   139    7         
 359  1235  235  | 6     1379    137  | 8    1239   4         
 369  123   7    | 139   8       4    | 5    1239   169   
----------------------------------------------------           
 1    35    9    | 2     4       56   | 7    8      36         
 2    6     4    | 7    #13      8    | 9    5      13         
@35   7     8    |@13   -56      9    | 16   4      2
After eliminating 6 from r3c5 with coloring (3 strong links r3c1=r6c1-r6c9=r7c9-r9c7=r9c5) there is also a simple ALS (APE?):
A={135} in r38c5, B={135} in r9c14, x=1, z=5,
which eliminates 5 from r9c5 and solves the puzzle.
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Postby wapati » Sat Oct 21, 2006 4:03 am

I am not sure if this takes more than three.

I need UR and BUG1 and at least one more "lower" method.


Code: Select all
4..8..9..
.8......7
....23.5.
2..6...35
..6.5.7.2
..7.....4
7...1.3..
..95.....
.6.789...
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Postby Ocean » Sat Oct 21, 2006 8:06 am

The naked train:
Code: Select all
 *-----------*
 |...|1.8|...|
 |.7.|.3.|.5.|
 |...|9.2|...|
 |---+---+---|
 |..1|...|2..|
 |.3.|...|.4.|
 |5..|.6.|..7|
 |---+---+---|
 |7..|...|..4|
 |.6.|.4.|.3.|
 |..2|...|8..|
 *-----------*


Simple Sudoku - the non-single moves: Naked Pairs; Naked Pairs; LC; Naked Quads (=Hidden Triple); LC; Naked Pairs; Naked Pairs; Naked Triples; Multiple Colors; No hints available (Bypass: Unique Rectangle); Hidden Pairs; Naked Pairs; Naked Pairs; Multiple Colors; Swordfish; LC; LC; LC; Colors (=Turbot Fish); LC; XY-wing.


Any shortcuts?
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Postby Carcul » Sat Oct 21, 2006 2:26 pm

Wapati wrote:I am not sure if this takes more than three.(...) I need UR and BUG1 and at least one more "lower" method.


Code: Select all
 *------------------------------------------------------*
 | 4     25    25   | 8     67    17   | 9     16    3  |
 | 69    8     3    | 149   46    5    | 1246  1246  7  |
 | 69    7     1    | 49    2     3    | 468   5     68 |
 |------------------+------------------+----------------|
 | 2     9     48   | 6     47    1478 | 18    3     5  |
 | 18    134   6    | 134   5     148  | 7     9     2  |
 | 5     13    7    | 123   9     128  | 168   168   4  |
 |------------------+------------------+----------------|
 | 7     245   2458 | 24    1     246  | 3     2468  9  |
 | 18    124   9    | 5     3     246  | 2468  7     68 |
 | 3     6     24   | 7     8     9    | 5     24    1  |
 *------------------------------------------------------*

Two step solution:

1. [r1c6]-1-[r2c4]=1=[r8c2]=4|8=[r6c7]=6=[r6c8]-6-[r1c8]-1-[r1c6], => r1c6<>1.

2. [r8c2]=4|8=[r6c7]-8-[r6c8]=8=[r7c8]-8-[r7c23]-4-[r7c4]-2-[r6c4]-3-
-[r6c2]-1-[r8c2], => r8c2<>1.

One step solution:

[r8c1]-8-[r7c23](-4-[r7c4]-2-[r6c4])-4-[r8c2]=4|8=[r6c7]=6=[r6c8]-6-
-[r1c8]-1-[r1c6]=1=[r2c4]-1-[r6c4]-3-[r6c2]-1-[r5c1]-8-[r8c1], => r8c1<>8.

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Postby tarek » Sat Oct 21, 2006 2:30 pm

Ocean wrote:Any shortcuts?

Not from me.........You're solution is shorter than mine which required some ALS steps.........

The shortcut would be some forcing chains/NICE loops following the UR reduction......I can't see it here

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Postby wapati » Sun Oct 22, 2006 2:34 am

This one takes an x, xy, xyz and Turbot/ER, for me.

There is a UR but I think it only replaces one step.

Code: Select all
3 . . | . 8 . | . 5 .
2 . 4 | . . . | 7 . 9
. . 6 | 1 . . | 3 4 .
---------------------
. 9 . | . . 1 | . . .
8 . 2 | . . . | . . 7
. . 3 | . . . | 5 . .
---------------------
. . . | 9 3 . | 6 7 .
. . . | . . 2 | . . .
. . . | . 6 . | . 3 5
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Postby wapati » Sun Oct 22, 2006 3:54 am

I will (perhaps) solve this Monday.

It is the weekend, I am busy, I generated this monster.

I'll try it when I have time....

(It does look busy.)

Code: Select all
. 4 7 | . . . | 8 9 .
. . . | 4 5 9 | . . .
. 2 . | . 7 . | . 5 .
---------------------
. . . | 2 . 6 | . . .
7 . . | . . . | . . 8
8 9 . | . 4 . | . 2 5
---------------------
. . . | . . . | . . .
3 . . | . . . | . . 9
. 8 9 | 6 . 5 | 2 7 .
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Postby wapati » Sun Oct 22, 2006 5:27 am

Still on auto-pilot. Generating, not solving.

This is at least three for me.

Code: Select all
2 7 . | 9 . . | . . 8
5 . . | . 8 . | . 3 .
. . . | . . . | 4 . .
---------------------
. . . | . 6 . | . . .
. 9 . | 4 . 7 | . 2 .
. . 7 | 8 5 . | . . 6
---------------------
. . 9 | 3 . . | . . .
3 4 . | . 1 . | . . 2
. 5 . | . . . | . 1 3
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Postby ravel » Sun Oct 22, 2006 10:49 am

Ocean wrote:The naked train:
Code: Select all
 *-----------*
 |...|1.8|...|
 |.7.|.3.|.5.|
 |...|9.2|...|
 |---+---+---|
 |..1|...|2..|
 |.3.|...|.4.|
 |5..|.6.|..7|
 |---+---+---|
 |7..|...|..4|
 |.6.|.4.|.3.|
 |..2|...|8..|
 *-----------*


Simple Sudoku - the non-single moves: Naked Pairs; Naked Pairs; LC; Naked Quads (=Hidden Triple); LC; Naked Pairs; Naked Pairs; Naked Triples; Multiple Colors; No hints available (Bypass: Unique Rectangle); Hidden Pairs; Naked Pairs; Naked Pairs; Multiple Colors; Swordfish; LC; LC; LC; Colors (=Turbot Fish); LC; XY-wing.


Any shortcuts?
Very interesting puzzle, Ocean. Maybe the hardest i have seen, which can be solved with basics + coloring, UR, swordfish and xy-wing. I only saw one redundant step (the last turbot fish), but (leaving out the tuples) the following remains:
UR4, 3 strong links, 2 SL (turbot fish or ER), swordfish, xy-wing
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Postby wapati » Sun Oct 22, 2006 8:52 pm

Ocean wrote:The naked train:

Any shortcuts?


Cool puzzle, no cuts from me!
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Postby wapati » Sun Oct 22, 2006 10:20 pm

DAJ, I was teasing.
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Postby wapati » Sun Oct 22, 2006 10:54 pm

Puzzle that takes me three patterns.

Chain gangs... I have no guess.

Code: Select all
...5.76..
...89.34.
..2..6..1
98.1.....
.4...28..
7.3.5....
27..1.5..
.1.....67
..6....2.
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