CHAINS, not required. Good puzzles.

Post puzzles for others to solve here.

Postby wapati » Fri Jan 05, 2007 5:42 am

Another swordfish. You can avoid it if you just NEVER see them.
A second xy will slide you through. The sword is visible early and survives intact several other patterns!

Code: Select all
. . 7 | 4 5 . | 3 . .
. . 5 | . . 8 | . . .
6 2 . | . . . | . . 5
---------------------
7 . . | . 4 1 | . 8 .
3 . . | 8 . 5 | . . 4
. 8 . | 7 6 . | . . 3
---------------------
2 . . | . . . | . 3 7
. . . | 5 . . | 6 . .
. . 8 | . 2 3 | 9 . .
wapati
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Posts: 527
Joined: 13 September 2006
Location: Brampton, Ontario, Canada

Postby daj95376 » Fri Jan 05, 2007 5:43 am

wapati,

I'm glad that you enjoyed the Swordfish. I hope you enjoy these Jellyfish as well. To answer your question, my puzzle generator only generates puzzles that are 180 degree symmetrical. It was a common practice when I started Sudoku, and I still prefer it this way.

When it comes to generating Swordfish and Jellyfish, I find that blocking a digit from appearing in the clues works best in my puzzle generator. If you look closely, several of these puzzles have the same solution. However, they are completely different puzzles in the solution path and the Jellyfish found.

===== ===== ===== Jellyfish

Code: Select all
4....521..3..8.4....54....8..21.....589...126.....69..2....13....6.2..4..435....2
4.8.1..2.6..3.8.1...92...3..46...2.....6.1.....1...89..8...43...6.7.3..9.1..8.7.4
56218....7...6.....1.4....6...6.917.9.......2.567.4...4....8.5.....9...8....46291
...1....9..4.6.31.3..4..8..238.......4.....6.......983..3..8..7.21.9.4..8....6...
7.....63..42..8.......34..81....35...58...14...78....25..28.......1..32..14.....5
.2..65.9.85.........1..32....2..7..61...8...57..3..9....61..3.........68.3.27..1.
3..4....1.5..2.6...418..2..48..5....1.3...4.5....1..82..6..832...4.3..6.9....6..4
.....45....8.2...44..6.378.8......6..2.578.4..4......5.843.2..79...6.4....39.....
67..........6713...43..8...9....4.5.7.5.1.8.4.1.9....3...4..91...8769..........68
...76.....261....8..4.3.1.94.9......7...1...3......9.41.3.8.7..6....139.....73...
.....6..4...3..6..2.95..8.3.57.9....49.....87....7.36.9.4..32.5..2..4...5..9.....
1.5..67...4.3..65.....4....3..6...2.4.6...5.7.2...5..9....6.....12..4.3...39..1.6
.329..4...8.3..26.4.9......3...47.28.........97.58...3......7.6.64..9.5...7..639.
6.29.8.1.....1.2.941..........1....8.4.693.7.9....2..........868.4.3.....2.8.63.4
3591..2..42.73...........5..359......8.....1......347..9...........97.28..7..1945
8.1..6..375...9........856....37..2.3.......5.7..65....985........9...381..6..9.2
8..7.6....5.....8..3..2...761....8....42.16....2....142...1..4..6.....3....6.7..2
....5138.12...8..6..3.....2.31.4...8...8.9...9...3.42.2.....8..3..6...15.1692....
76........2...85...834....2..1.4..5.4.2.1.6.7.7..3.4..2....386...76...1........43
....1...2.51..8...6.2.4..9.3.9...24.1.......8.28...5.9.9..2.4.6...3..91.8...6....
16..97......8....15.32....7..23..6..68.....35..7..61..7....92.68....3......72..13
1.849.....7.........32.18..9......78..41.29..35......4..15.92.........4.....285.3
6.....9.7.156.9...7.83...6......647..6.5.7.1..874......5...48.1...9.864.8.9.....5
6.....9...15.7..8.79..4..6...1..6.7.4..5.7..8.8.4..5...5..2..91.7..5.64...9.....5
..4...1...1..78..6..6....45...7.9.3..95...81..8.5.1...76....9..1..65..8...8...6..
547..28...3.....7...6.9...3..4..8.32.5.....4.27.5..9..4...6.3...2.....9...59..784
5..3..8...3..8......6.94.5..9.17..3..5.....4..7..46.1..1.86.3......5..9...5..1..4
...2.....5.9.7.41.41.6.......8..714.....2.....751..9.......2.58.92.8.7.1.....1...
...7.18..3.....2..857..9.1..1..4.7..4..9.5..2..9.8..4..7.2..984..3.....5..25.4...
.3....5...6.2.....7.593...65..7...61..76.23..69...3..41...297.3.....7.5...9....4.
...32...9.3...7.1...89..4..4.1..9....8.....6....1..3.2..9..87...2.4...9.6...92...
9...6...4.64..75...3...97....34...9.2.......6.5...68....67...5...29..68.3...8...7
.2...5....6...7.2...1.4..686.....2.524.....767.9.....148..1.9...7.9...8....6...1.
.2.8....4......52..31..9..8....7..95..85913..75..2....4..7..95..72......3....2.1.
6.7.9.1...8....4.9..96.1....2.1..6.8...7.5...4.6..8.7....2.48..8.4....2...2.1.9.7
8..4....36....1.8..31..74...958....7.7..1..5.4....583...97..31..1.5....87....6..4
..56.9...36..2.....79.....69...6.4.55..3.7..22.7.5...36.....82.....8..54...2.49..
.......38.6...85....95.32.6.1...2..5.46.9.18.2..4...9.6.49.58....21...5.15.......
.9.2..7..86.7......579.83..5.....6..73..6..89..6.....2..56.182......5.71..8..7.5.
4......8..62.9..4...8..65.7..4.69...7..1.8..2...75.8..9.56..4...8..7.26..4......1
..27..9.454..3.1..98.1......3..95.....83.12.....84..5......7.81..1.8..928.5..93..
.1..4..52.4.9.7...7...5.9..39....2....42193....1....94..5.6...9...5.4.2.46..2..1.
..7.5.6.19....1.5.6..8...37...52..7..9.....8..7..68...76...5..3.8.2....95.9.1.7..
..73.26..9..67...4..1.9.23.4.8..9...............1..9.2.62.8.4..1...37..9..94.67..
94....3.....5.......2.38..9.5.....34...294...81.....9.6..82.9.......1.....5....16
12..4....8.51.2.4...3........93.6.8...1.9.5...8.5.16........2...4.6.89.5....3..64
12.9.......5.6......37.5.9..5..764.16.......33.452..7..3.4.72......1.9.......9.64
5..8.1.97.1.3...5.....5.2.8...2..54.....3.....93..8...9.2.8.....7...5.3.13.7.9..4
.2...6.4...8.2....5....8.7...69..4..28.....67..4..28...7.2....5....3.6...6.4...2.
9...1.3.8...7.....5.13.8.7.7.....4....51.39....4.....1.7.2.91.5.....7...8.9.5...3
927..6..........1....3..2.67..9.5.3.2.5.4.9.7.9.6.2..14.3..9....5..........4..723
.....2...3.....4.2....957...32..1.6.4.1...3.7.6.4..25...916....7.6.....3...5.....
.627....835...6.97...5..2...35........46973........82...7..2...92.3...855....897.
.6.8......48.239..32....8..43......8.5.678.4.8......29..2....57..376.29......2.8.
.6.8....2.4..23.7.3....68..4..29....2.9...1.3....34..9..24....7.8.76..9.7....2.8.
9..8.74.2...5...7.32....8...312....8....7....8....452...2....57.8...1...7.43.2..1
6...74..9.9...64..7.459..2..2.....43..8...9..93.....7..6..857.4..59...6.3..26...8
..178.9...7..56..8..3..1.6...25.....3.......7.....95...5.3..2..8..67..1...6.928..
....839.44.9..6....83....626..5..48...........48..9..395....24....6..3.91.649....
8.34.2..6.5..7......29.....6..8..5..27..6..39..5..7..8.....96......3..4.9..7.48.3
89...27..1.6...2....29.6..56.98...2.....6.....3...71.83..5.96....7...9.2..17...53
4..3....86...5..2....6.45.3.2...5.6...1...9...6.9...8.3.54.9....1..8...52....6..9
..859....9....4..13.....59..23.79....4.8.5.2....32.47..57.....24..9....8....531..
..5.897.297..6.....8.....1.7..8..36...........63..7..1.1.....9.....7..268.629.1..
.3........7.46...84...5.61.7..8..364.4..2..5.563..7..1.17.3...53...71.2........7.
..9.15.7...4..89.565..9....94.6.....2.......1.....2.49....8..247.24..5...8.52.6..
.42......5..41.2...8..6..5...51..4...6.....3...4..28...1..5..6...9.31..8......31.
......37.18...6...2...5.9....87..5.9...389...7.9..26....6.7...1...6...95.52......
8.......1.9.3...4..6..9...5.1697.....8.1.5.9.....3861.4...5..8..7...9.3.9.......6
8....7.6..9..1.8.2.6.89.3...1.97....78.1.5.93....38.1...1.53.8.6.5.8..3..3.7....6
..352.9.1.973...4........7.31...2.5...41.52...5.4...17.2........7...913.9.8.415..
84.........7...8.2..28.4..53.6..2.5....1.5....5.4..6.74..6.37..6.5...1.........26
46.7.1.3.5.....1...3.2.9.6..23.1....9.1.6.4.3....9.21..5.1.6.4...4.....5.9.4.5.21
..41.87.9.1...7..697.....8.......21.2...4...8.51.......4.....651..4...2.6.97.58..
.....9.3.....2.64...34....58..73.5.635.6.8.977.6.95..35....43...37.5.....8.9.....
4...1.....95..7..827.4...1......1.26...648...71.2......2...4.799..1..86.....7...1
5...8.....9.5.1..62.8.....9...96..5.36..4..18.2..18...9.....3.51..4.3.8.....5...1
53.7...424.7....36.....45......6.2.3...245...7.5.1......41.....15....6.767...2.91
.5837...4.4.8.9...3.71...9....4..7..5.4...6.8..3..1....3...84.1...7.5.8.8...4397.
9..3..1....1...5...6..5..921.9.26...52.....18...58.2.973..9..2...2...3....6..3..5
...32.5..51.........8..5.4.79.2.84....4.9.8....25.4.93.4.1..9.........21..7.59...
...9..4.....62..9...574...8.9..5.86..6.....4..82.6..3.7...345...4..76.....3..8...
12.9......7.62......5...6..4....7..2..7.1.9..5..4....1..9...5......76.1......8.74
......45..7.62.......7....84.1.5.8..3..8.2..5..2.6.7.17....4.......76.1..53......
....48.5989.3..7...1.7..8..54.6...2...........7...1.95..8..5.7...6..7.1415.46....
.6.1.8..98.5.2....3...5.....4.6......81.9.63......1.9.....1...6....3.5.41..4.2.8.
daj95376
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Posts: 2624
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Postby Carcul » Fri Jan 05, 2007 11:38 am

Wapati wrote:An xyz and a Swordfish. (I like swordfish!)


Code: Select all
 *---------------------------------------------------------------------*
 | 456     3       457  | 45      9       2   | 14678   146     1468   |
 | 1       27      247  | 34      8       367 | 9       5       346    |
 | 456     8       9    | 1       56      367 | 3467    2       346    |
 |----------------------+---------------------+------------------------|
 | 25      125     6    | 9       3       8   | 145     14      7      |
 | 7       4       3    | 6       1       5   | 2       8       9      |
 | 8       9       15   | 7       2       4   | 156     3       156    |
 |----------------------+---------------------+------------------------|
 | 3459    157     1457 | 2       56      369 | 134568  1469    134568 |
 | 3459    6       8    | 35      7       1   | 345     49      2      |
 | 2359    125     125  | 8       4       369 | 1356    7       1356   |
 *---------------------------------------------------------------------*

[r1c8]-6-[r1c1]=6|7=[r1c3]-7-[r2c23]=7|6=[r2c9]-6-[r1c8], => r1c8<>6 and the puzzle is solved.

Carcul
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Posts: 724
Joined: 04 November 2005

Postby Carcul » Fri Jan 05, 2007 1:01 pm

Wapati wrote:Another Swordfish, with xy-wing. Mmm-Mmmm, swordfish is tasty!


Code: Select all
 *---------------------------------------------------------------*
 | 6      47     2   | 35     8      3457  | 37     9      1     |
 | 47     1      5   | 236    9      2347  | 28     46     2378  |
 | 9      3      8   | 26     47     1     | 5      46     27    |
 |-------------------+---------------------+---------------------|
 | 57     579    379 | 359    2      8     | 4      1      6     |
 | 158    2      139 | 4      3567   35679 | 89     357    3578  |
 | 58     6      4   | 1      357    3579  | 289    357    23578 |
 |-------------------+---------------------+---------------------|
 | 247    8      6   | 239    34     2349  | 1      357    357   |
 | 3      457    17  | 8      1456   456   | 67     2      9     |
 | 125    59     19  | 7      1356   2356  | 36     8      4     |
 *---------------------------------------------------------------*

1. [r3c9]-7-[r3c5]-4-[r7c5]-3-[r7c89]=3=[r9c7]-3-[r1c7]-7-[r3c9], => r3c9<>7.

2. [r5c1]=1=[r9c1]-1-[r8c3]-7-[r8c7]=7=[r1c7]-7-[r1c2]=7=[r2c1]-7-
-[r46c1]-5,8-[r5c1], => r5c1<>5,8 and the puzzle is solved.

Carcul
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Posts: 724
Joined: 04 November 2005

Postby udosuk » Fri Jan 05, 2007 1:06 pm

Carcul wrote:
Code: Select all
 *---------------------------------------------------------------------*
 | 456     3       457  | 45      9       2   | 14678   146     1468   |
 | 1       27      247  | 34      8       367 | 9       5       346    |
 | 456     8       9    | 1       56      367 | 3467    2       346    |
 |----------------------+---------------------+------------------------|
 | 25      125     6    | 9       3       8   | 145     14      7      |
 | 7       4       3    | 6       1       5   | 2       8       9      |
 | 8       9       15   | 7       2       4   | 156     3       156    |
 |----------------------+---------------------+------------------------|
 | 3459    157     1457 | 2       56      369 | 134568  1469    134568 |
 | 3459    6       8    | 35      7       1   | 345     49      2      |
 | 2359    125     125  | 8       4       369 | 1356    7       1356   |
 *---------------------------------------------------------------------*

[r1c8]-6-[r1c1]=6|7=[r1c3]-7-[r2c23]=7|6=[r2c9]-6-[r1c8], => r1c8<>6 and the puzzle is solved.

Just feel like to interpret Carcul's nice loop notation with a more straight forward step-by-step description:

If r1c8=6
=> r1c1<>6
=> naked pair {45} in r1c14
=> r1c3=7
=> r2c23<>7
=> naked triple {234} in r2c234
=> r2c9=6
=> Contradiction: two 6s in b3 (r1c8 & r2c9)!

Therefore r1c8<>6 => r7c8=6 and the rest are all singles...:idea:
udosuk
 
Posts: 2698
Joined: 17 July 2005

Postby Carcul » Fri Jan 05, 2007 1:24 pm

Wapati wrote:Here is some xy practice. There are 5 followed by a sky/Turbot.


Code: Select all
 *--------------------------------------------------------------*
 | 356    23     2568 | 1      258    7   | 9      4      568   |
 | 56     1      7    | 9      458    456 | 2      58     3     |
 | 9      4      2568 | 28     3      56  | 68     7      1     |
 |--------------------+-------------------+---------------------|
 | 456    8      256  | 3      7      9   | 1      26     246   |
 | 37     39     1    | 4      6      2   | 5      89     789   |
 | 467    29     26   | 5      1      8   | 47     3      24679 |
 |--------------------+-------------------+---------------------|
 | 2      6      3    | 78     9      45  | 47     1      4578  |
 | 8      5      9    | 267    24     1   | 3      26     2467  |
 | 1      7      4    | 268    258    3   | 68     589    25689 |
 *--------------------------------------------------------------*

[r2c5]=8=[r2c8]=5=[r9c8]-5-[r7c9]=5=[r7c6]=4=[r2c6]-4-[r2c5], solving the puzzle.

Carcul
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Posts: 724
Joined: 04 November 2005

Postby ronk » Fri Jan 05, 2007 1:29 pm

Carcul wrote:[r1c8]-6-[r1c1]=6|7=[r1c3]-7-[r2c23]=7|6=[r2c9]-6-[r1c8], => r1c8<>6

For those who like less cryptic expressions, here is one that specifies all the cells of the ALSs:

r1c8-6-{ALS:r1c14=6|7=r1c3}-7-{ALS:[r2c23,r2c4]=7|6=r2c9}-6-r1c8, => r1c8<>6
ronk
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Location: Southeastern USA

Postby Carcul » Sat Jan 06, 2007 1:22 pm

Wapati wrote:Another swordfish. There are two, one of them "required". Several Turbots, all three types available. (Sky, kite, classic.)


Code: Select all
 *-------------------------------------------------------------*
 | 4      1367   137  | 8      379    367 | 569    13569  2    |
 | 3678   13678  2    | 379    5      367 | 69     4      1689 |
 | 368    9      5    | 1      2      4   | 7      36     68   |
 |--------------------+-------------------+--------------------|
 | 2      137    6    | 3457   8      137 | 459    159    179  |
 | 37     5      1347 | 2      347    9   | 46     8      167  |
 | 789    178    1479 | 457    6      17  | 2      15     3    |
 |--------------------+-------------------+--------------------|
 | 369    2      8    | 369    39     5   | 1      7      4    |
 | 5      4      79   | 679    1      8   | 3      2      69   |
 | 1      367    379  | 34679  3479   2   | 8      69     5    |
 *-------------------------------------------------------------*

[r9c5]=7|4=[r5c3]=1=[r5c9](=6=[r5c7]-6-[r2c7]-9-[r2c4]=9=[r1c5])-1-
-[r2c9]=1=[r1c8]-1-[r1c3]=1=[r6c3]-1-[r6c6]-7-[r5c5]=7=[r9c5], => r9c5=7 and the puzzle is solved.

Carcul
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Posts: 724
Joined: 04 November 2005

Postby Carcul » Sat Jan 06, 2007 1:47 pm

Wapati wrote:Swordfish day? Is that like "pancake day".
Swordfish, x-wing, xy-wing and a kite/Turbot.


Code: Select all
 *----------------------------------------------*
 | 5    239  7   | 6    8    34  | 1    39   24 |
 | 4    239  8   | 59   1    7   | 6    39   25 |
 | 6    1    39  | 245  39   24  | 45   8    7  |
 |---------------+---------------+--------------|
 | 2    78   34  | 48   5    9   | 347  1    6  |
 | 9    35   345 | 1    7    6   | 234  24   8  |
 | 1    78   6   | 3    2    48  | 457  45   9  |
 |---------------+---------------+--------------|
 | 7    4    59  | 289  39   238 | 25   6    1  |
 | 3    59   2   | 79   6    1   | 8    457  45 |
 | 8    6    1   | 27   4    5   | 9    27   3  |
 *----------------------------------------------*

[r4c2]-7-[r4c7]=7=[r6c7]-7-[r6c2]-8-[r6c6]=8=[r4c4]=4=[r3c4]=5=
=[r3c7]-5-[r7c7](-2-[r5c7])=5=[r7c3]-5-[r5c3], => r4c2<>7 solving the puzzle.

Carcul
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Posts: 724
Joined: 04 November 2005

Unique Loop type 3

Postby claudiarabia » Sat Jan 06, 2007 9:52 pm

wapati wrote:Thanks Ravel, for the UL explanation!

Here is some xy practice. There are 5 followed by a sky/Turbot.

Code: Select all
. . .|. . .|9 4 .
. . 7|9 . .|2 . 3
. 4 .|. 3 .|. 7 1
-----+-----+-----
. 8 .|3 7 .|. . .
. . 1|4 . 2|5 . .
. . .|. 1 8|. 3 .
-----+-----+-----
2 6 .|. 9 .|. 1 .
8 . 9|. . 1|3 . .
. 7 4|. . .|. . .


modifying a puzzle of JPF I found this nice Unique Loop Type 3, not very difficult. If it wouldn't have a Swordfish too it would even fit the Zoo-Collection of Mike Barker.

Code: Select all
. 2 3 . 6 . . . 8
4 . . . . 8 . 9 .
7 . 9 . . 1 6 . .
. . . 2 . . 1 . .
8 . . . . 3 . . 6
. 6 1 . 7 . . . .
. . . 1 . . 9 . 3
. 3 . . . . . . .
6 . . . 8 . 7 . 2
:)

Code: Select all
 
 *-----------------------------------------------------------*
 | 15    2     3     | 4579  6     459   | 45    17     8    |
 | 4     15    6     | 57    #23    8    | #23    9     17   |
 | 7     8     9     | 45    #23    1    | 6     #23    45   |
 |-------------------+-------------------+-------------------|
 | 3     457   457   | 2     459   6     | 1     8     4579  |
 | 8     4579  2457  | 459   1     3     | 245   2457  6     |
 | 259   6     1     | 8     7     45    |#23+45#23+45 459   |
 |-------------------+-------------------+-------------------|
 | 25    457   8     | 1     45    27    | 9     6     3     |
 | 19    3     27    | 6     459   27    | 8     145   145   |
 | 6     19    45    | 3     8     459   | 7     145   2     |
 *-----------------------------------------------------------*
r2r3c5, r2c7,r3c8, r6c78 form a Unique Loop upon the Numbers 23. One of the two cells r6c78 have to renounce to the 2and3. The other cell of the two forms a naked pair with a cell in the same line, with r6c1 which contains the value 2 too.

The clou: if you omit 9 in r7c7 you get according to the Explainer a puzzle with Unique Loop Type 4 and BUG Type 1!

Enjoy

Claudia
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Re: Unique Loop type 3

Postby wapati » Sat Jan 06, 2007 10:56 pm

claudiarabia wrote:modifying a puzzle of JPF I found this nice Unique Loop Type 3, not very difficult. If it wouldn't have a Swordfish too it would even fit the Zoo-Collection of Mike Barker.

The clou: if you omit 9 in r7c7 you get according to the Explainer a puzzle with Unique Loop Type 4 and BUG Type 1!

Enjoy

Claudia


Thanks for the UL help Claudia!:D

I modded it a bit more and returned symmetry.
This can be solved with 3 skyscrapers. It still has the features Claudia mentioned if you chose to solve it with other patterns.:)
Code: Select all
. 2 3 . 6 . . . 8
4 . . . . 8 . 9 .
7 . . . . 1 6 . .
. . . 2 . . 1 . .
8 . . . . 3 . . 6
. 6 1 . 7 . . . .
. . 8 1 . . . . 3
. 3 . . . . . . .
6 . . . 8 . 7 . 2
wapati
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Posts: 527
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Location: Brampton, Ontario, Canada

Postby wapati » Sun Jan 07, 2007 5:48 am

This one has many patterns, as usual.

I give you no hints, there are a lot of paths.

Code: Select all
9 . . | 6 . 7 | 8 5 .
. . 8 | . . . | . . 9
. 5 . | . 2 . | . . 7
---------------------
7 . . | . 9 . | . . 3
. . 9 | 4 . 6 | 2 . .
4 . . | . 7 . | . . 6
---------------------
1 . . | . 6 . | . 2 .
5 . . | . . . | 6 . .
. 2 6 | 5 . 3 | . . 4
wapati
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Location: Brampton, Ontario, Canada

Postby wapati » Sun Jan 07, 2007 6:06 am

I usually solve (pencil, paper) puzzles before I post them.

This "UFO" I will post before...

It is a tad busy, pattern wise.

Code: Select all
3 . . | . . . | . . .
. 2 . | . 4 9 | 3 . .
. . 8 | 2 . . | . 7 .
---------------------
. . 3 | . 8 . | . 9 .
. 1 . | 4 . 3 | . 2 .
. 6 . | . 2 . | 8 . .
---------------------
. 4 . | . . 7 | 9 . .
. . 6 | 9 5 . | . 8 .
. . . | . . . | . . 1
wapati
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Location: Brampton, Ontario, Canada

Postby wapati » Sun Jan 07, 2007 8:10 am

Thanks again daj, so many patterns!


This here is a whack of odditty.

Code: Select all
. . . | . . 3 | 6 . 5
. . 8 | 6 . . | . 1 .
. 1 . | . 5 . | 7 . 4
---------------------
. 4 . | . 3 . | . . 1
. . 9 | 4 . 1 | 8 . .
1 . . | . 8 . | . 9 .
---------------------
4 . 2 | . 9 . | . 5 .
. 7 . | . . 4 | 9 . .
9 . 1 | 8 . . | . . .
wapati
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Postby StrmCkr » Sun Jan 07, 2007 9:05 am

intresting puzzle

i solve it with 2
yielding chains type 1:

Code: Select all
. . . | . . 3 | 6 . 5
. . 8 | 6 . . | . 1 .
. 1 . | . 5 . | 7 . 4
---------------------
. 4 . | . 3 . | . . 1
. . 9 | 4 . 1 | 8 . .
1 . . | . 8 . | . 9 .
---------------------
4 . 2 | . 9 . | . 5 .
. 7 . | . . 4 | 9 . .
9 . 1 | 8 . . | . . .


befor i apply any simple sudoku reductions i spot at

row 5 forms a Conjugated als (124) allowing me to use a yield chain type 1:

here
r1c5[124]
R8c5[12]
R2c5[124]

which removes 2 from
R5c5,R9c5

(then remove all hidden/box/line reductions ect to lead me to the next one)

yield chain type 1:
found on row 2
Conjugated als {257}
R2C1[257]
R2c2[25]
R2c6[72]

removes 2 from
R2c7
puzzle solves as singles.

(but people still don't understand these so oh well...just figured id chime in on it anyway...)
(probably should re work my confusing explinations down to minimual language and more clear examples on easier puzzles then hopefully that clears things up a bit)


nice puzzle lots of other options on it.
Some do, some teach, the rest look it up.
stormdoku
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