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

Post puzzles for others to solve here.

Postby wapati » Mon Oct 23, 2006 12:49 am

This is a fun puzzle.

Solvers vary on the means.

Code: Select all
. 3 . | . 5 . | . 8 .
. . . | . . . | . . .
4 . 5 | . 6 . | 2 . 9
---------------------
. . 6 | . 3 . | 4 . .
. 7 . | 5 . 4 | . 2 .
. 4 . | 6 . 8 | . 1 .
---------------------
. . . | 1 . 3 | . . .
9 . . | . 4 . | . . 7
2 . . | . . . | . . 4
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Postby wapati » Mon Oct 23, 2006 12:57 am

Yep, a few twists.

Code: Select all
. 1 . | 4 . . | 6 7 8
4 . . | . . . | 9 . .
. . . | . . 2 | 4 . .
---------------------
5 . . | . . 6 | 7 . .
. . . | . 2 . | . . 3
. . 7 | 8 . . | . 2 .
---------------------
1 9 4 | 3 . . | . . .
6 . . | . . 1 | . 9 .
2 . . | . 9 . | . . .
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Postby wapati » Mon Oct 23, 2006 1:25 am

Three, or four, different methods for me.

Code: Select all
9 7 . | . . 6 | . . .
4 . . | 3 . . | 1 . 6
. . . | 1 . . | . 7 8
---------------------
. 2 7 | . 9 . | . . 4
. . . | 5 . . | . 3 .
6 . . | . . . | . . 9
---------------------
. 6 . | . . . | . . .
. . 5 | . 6 . | . 9 .
. 9 4 | 2 . 1 | . . 3
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Postby Carcul » Mon Oct 23, 2006 2:01 pm

Wapati wrote:Three, or four, different methods for me.


Code: Select all
 *-------------------------------------------------------------*
 | 9      7      1   | 8      25     6    | 3      4      25   |
 | 4      58     28  | 3      7      9    | 1      25     6    |
 | 235    35     6   | 1      245    245  | 9      7      8    |
 |-------------------+--------------------+--------------------|
 | 1358   2      7   | 6      9      38   | 58     158    4    |
 | 18     148    9   | 5      1248   2478 | 6      3      127  |
 | 6      1458   38  | 47     12348  2478 | 2578   1258   9    |
 |-------------------+--------------------+--------------------|
 | 1278   6      238 | 9      3458   4578 | 24578  1258   1257 |
 | 12378  138    5   | 47     6      3478 | 2478   9      127  |
 | 78     9      4   | 2      58     1    | 578    6      3    |
 *-------------------------------------------------------------*

1. [r1c5]-5-[r1c9]=5=[r7c9]-5-[r9c7]=5=[r9c5]-5-[r1c5], => r1c5<>5.

2. [r8c4]-4-[r6c4]-7-[r6c7]-2-[r8c7]-4-[r8c4], => r8c4<>4.

Carcul
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Postby Carcul » Mon Oct 23, 2006 2:12 pm

Wapati wrote:Yep, a few twists.


Just one:

Code: Select all
 *----------------------------------------------------------------*
 | 39     1      2     | 4      35     359  | 6      7      8     |
 | 4      358    3568  | 167    13678  378  | 9      135    2     |
 | 7      358    35689 | 169    1368   2    | 4      135    15    |
 |---------------------+--------------------+---------------------|
 | 5      2      139   | 19     134    6    | 7      8      49    |
 | 8      46     19    | 1579   2      579  | 15     46     3     |
 | 39     46     7     | 8      1345   3459 | 15     2      469   |
 |---------------------+--------------------+---------------------|
 | 1      9      4     | 3      5678   578  | 2      56     567   |
 | 6      3578   358   | 2      457    1    | 38     9      457   |
 | 2      3578   358   | 567    9      457  | 38     1456   14567 |
 *----------------------------------------------------------------*

[r4c4]-9-[r4c9]=9=[r6c9]-9-[r6c1]=9=[r1c1]-9-[r1c6]=9=[r3c4]-9-[r4c4]

=> r4c4<>9 solving the puzzle.

Carcul
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Postby Carcul » Mon Oct 23, 2006 2:21 pm

Wapati wrote:This is a fun puzzle.(...)Solvers vary on the means.


Code: Select all
 *--------------------------------------------------------------*
 | 167    3      29   | 4      5      29   | 67     8      16   |
 | 1678   29     178  | 3789   12789  1279 | 3567   4      1356 |
 | 4      18     5    | 378    6      17   | 2      37     9    |
 |--------------------+--------------------+--------------------|
 | 158    29     6    | 79     3      1279 | 4      579    58   |
 | 138    7      18   | 5      19     4    | 369    2      368  |
 | 35     4      29   | 6      279    8    | 79     1      35   |
 |--------------------+--------------------+--------------------|
 | 78     568    4    | 1      789    3    | 589    569    2    |
 | 9      1568   138  | 2      4      56   | 1358   356    7    |
 | 2      1568   1378 | 789    789    56   | 13589  3569   4    |
 *--------------------------------------------------------------*

{ATILA(2,9): r1c3|r1c6|r4c6|r4c2|r2c2}

and so r4c6<>2,9, solving the puzzle.

Carcul
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Postby Carcul » Mon Oct 23, 2006 2:44 pm

Wapati wrote:Puzzle that takes me three patterns.(...)Chain gangs... I have no guess.


Code: Select all
 *-----------------------------------------------------*
 | 1     3     4  | 5     2     7   | 6     89    89   |
 | 5     6     7  | 8     9     1   | 3     4     2    |
 | 8     9     2  | 34    34    6   | 7     5     1    |
 |----------------+-----------------+------------------|
 | 9     8     5  | 1     6     34  | 2     7     34   |
 | 6     4     1  | 379   37    2   | 8     39    5    |
 | 7     2     3  | 49    5     8   | 49    1     6    |
 |----------------+-----------------+------------------|
 | 2     7     89 | 6     1     349 | 5     389   3489 |
 | 34    1     89 | 2     348   5   | 49    6     7    |
 | 34    5     6  | 347   3478  349 | 1     2     3489 |
 *-----------------------------------------------------*

[r7c6]=4=[r7c9](-4-[r4c9]-3-[r5c8]=3=[r7c8]-3-[r7c6])-4-[r8c7]-9-
-[r8c3]=9=[r7c3]-9-[r7c6], => r7c6<>3,9 => r7c6=4.

Wapati wrote:Still on auto-pilot. Generating, not solving.(...)This is at least three for me.


Code: Select all
 *---------------------------------------------------------------*
 | 2      7      136   | 9      4      1356 | 156    56     8    |
 | 5      16     4     | 7      8      16   | 2      3      9    |
 | 9      1368   1368  | 156    2      1356 | 4      567    157  |
 |---------------------+--------------------+--------------------|
 | 148    138    12358 | 12     6      19   | 379    45789  1457 |
 | 168    9      1568  | 4      3      7    | 158    2      15   |
 | 14     123    7     | 8      5      129  | 39     49     6    |
 |---------------------+--------------------+--------------------|
 | 168    1268   9     | 3      7      268  | 568    4568   45   |
 | 3      4      68    | 56     1      568  | 79     79     2    |
 | 7      5      268   | 26     9      4    | 68     1      3    |
 *---------------------------------------------------------------*

[r7c6]=2|1=[r7c1]=6=[r5c1]=8=[X-Wing: r59c37]-8-[r8c3]=8=[r8c6]-
-8-[r7c6], => r7c6<>8 solving the puzzle.

Carcul
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Postby Ocean » Mon Oct 23, 2006 3:46 pm

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

SS: 5xLC; No hints (XYZ-wing: r7c6 <> 9); Multiple Colors (Turbot Fish); Multiple Colors; X-wing; Colors; Colors; Multiple Colors; Colors; XY-wing; XY-wing; Solves.

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

SS: Multiple Colors (Turbot Fish); Multiple Colors (Turbot Fish); LC; No hints (X-cycle/Advanced coloring); Colors; LC; Multiple Colors; X-wing; Colors; Solves.
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Postby Carcul » Mon Oct 23, 2006 5:39 pm

Wapati wrote:It is the weekend, I am busy, I generated this monster.(...) I'll try it when I have time..(...)(It does look busy.)


Very nice puzzle.

Code: Select all
 *-------------------------------------------------------------*
 | 5      4      7    | 13     6      2   | 8      9      13   |
 | 6      13     8    | 4      5      9   | 7      13     2    |
 | 9      2      13   | 138    7      138 | 46     5      46   |
 |--------------------+-------------------+--------------------|
 | 14     135    1345 | 2      8      6   | 9      13     7    |
 | 7      136    2    | 5      9      13  | 1346   46     8    |
 | 8      9      136  | 137    4      137 | 136    2      5    |
 |--------------------+-------------------+--------------------|
 | 2      1567   1456 | 9      13     478 | 13456  468    1346 |
 | 3      1567   1456 | 78     2      478 | 1456   468    9    |
 | 14     8      9    | 6      13     5   | 2      7      134  |
 *-------------------------------------------------------------*

1. =6=[r6c3]-6-[r5c2|r6c7]-{Two Incompatible ATILA}, => r6c3<>6.

2. {ATILA(1,3): r6c4|r1c4|r1c9|r2c8|r4c8|r5c7|r5c6}, => r6c4=7.

3. [r8c7]-5-[r7c7]=5=[r7c2]=7=[r8c2]-7-[r8c6]-4-[r8c3]-5-[r8c7], => r8c7<>5 solving the puzzle.

Carcul
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Ocean's second puzzle

Postby Carcul » Mon Oct 23, 2006 6:21 pm

Ocean wrote:Mixed Colors:


Code: Select all
 *----------------------------------------------------*
 | 68    7     368 | 368   1     4   | 9     5     2  |
 | 5     689   2   | 689   89    7   | 1     3     4  |
 | 1     4     39  | 39    2     5   | 6     7     8  |
 |-----------------+-----------------+----------------|
 | 4     2     689 | 7     3     1   | 5     689   69 |
 | 3     189   5   | 89    6     2   | 4     189   7  |
 | 689   1689  7   | 4     5     89  | 2     1689  3  |
 |-----------------+-----------------+----------------|
 | 689   3     1   | 2     89    689 | 7     4     5  |
 | 7     5     69  | 1     4     3   | 8     2     69 |
 | 2     689   4   | 5     7     689 | 3     69    1  |
 *----------------------------------------------------*

1. [r7c1]=6=[r7c6]-6-[r9c6]=6=[r6c1]-6-[r7c1], => r1c1<>6.

2. r6c2=9 or r7c6=9, and so r6c6<>9, solving the puzzle.

Carcul
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Postby wapati » Tue Oct 24, 2006 3:06 am

Here is one that takes 3 URs, a finned swordfish and two ER/Turbots, when I do it. The chain SE spots is a finned (grouped) swordfish.:)

Code: Select all
..86....2
.....7...
35...24..
..35..79.
1.4......
.....6..4
..2.34..5
8.....6..
.7..6.1..
wapati
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Postby wapati » Tue Oct 24, 2006 3:22 am

Seems to be a UR night! This one has two URs and a UR Loop and an x-wing and grouped x (skyscraper ER or Turbot, as you prefer!)

Code: Select all
. 7 8 | . . 1 | . . .
5 6 . | . . . | . 4 .
9 . . | 4 . 5 | . . 8
---------------------
. . 4 | 5 . . | . 8 9
. . . | . 3 . | . . .
2 . 1 | . . 9 | . . .
---------------------
. . . | . . . | 7 . .
. 2 . | 8 . . | . 5 .
. . 6 | 3 . . | . . .
wapati
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Postby wapati » Tue Oct 24, 2006 3:34 am

This one has two solvers listing seven or so patterns to find.
A third solver says three are enough. I like to find them all, if I can.

Code: Select all
4 . . | . . 9 | 5 . .
. 9 . | . 2 . | . . .
. . . | . 1 3 | . . 4
---------------------
. . . | . . . | . 3 .
. 4 2 | . . 1 | . . .
6 . 8 | . 3 4 | 1 2 .
---------------------
1 . . | . . 5 | 9 . .
. . . | 7 . 2 | . 1 .
. . 9 | . . . | . . 3
wapati
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Postby wapati » Tue Oct 24, 2006 4:45 am

This has humour, lots.

Code: Select all
. . . | 1 . . | . 5 7
4 . 6 | . 3 . | . . 1
. 5 . | . 8 . | 3 . .
---------------------
. . . | . . 4 | . . .
. 2 . | . 7 . | 4 1 .
. . . | 5 . . | . . 6
---------------------
8 . 2 | . . . | . 6 .
. 3 . | . 1 . | 9 . .
. . 1 | . . . | . 8 .
wapati
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Postby wapati » Tue Oct 24, 2006 4:57 am

Way many. I am staying up late.
Code: Select all

.....9.2.
...1.48.6
....5.4..
.9......4
..1.72...
73..9...1
.54......
9......8.
.6.5.1..7
wapati
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