CHAINS, not required. Good puzzles.

Post puzzles for others to solve here.

Postby wapati » Wed Nov 15, 2006 8:33 am

Ditto, no fancy tricks, enough steps.

Code: Select all
. 6 . | . . . | . . 4
7 . . | . 2 9 | 1 . .
. . 2 | 6 . . | . 7 .
---------------------
. . 5 | 4 9 . | . 8 .
. 9 . | 8 . 7 | . 2 .
. 4 . | . 5 2 | 7 . .
---------------------
. 2 . | . . 6 | 8 . .
. . 7 | 2 4 . | . . 6
8 . . | . . . | . 4 .
wapati
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Postby Carcul » Wed Nov 15, 2006 10:30 am

Wapati wrote:This is not easy. Perhaps by chains, not easy by patterns.


Code: Select all
 *---------------------------------------------------*
 | 4     17    6  | 178   178   2    | 5     3     9 |
 | 17    9     3  | 6     4     5    | 17    8     2 |
 | 8     2     5  | 17    3     9    | 6     17    4 |
 |----------------+------------------+---------------|
 | 1257  157   9  | 1278  6     1478 | 1247  17    3 |
 | 127   4     8  | 5     17    3    | 127   9     6 |
 | 3     6     12 | 127   9     147  | 1247  5     8 |
 |----------------+------------------+---------------|
 | 25    58    7  | 9     28    6    | 3     4     1 |
 | 6     18    4  | 3     5     18   | 9     2     7 |
 | 9     3     12 | 4     127   17   | 8     6     5 |
 *---------------------------------------------------*

r5c1=2 or r1c5=8, and so r7c1<>2 (because of r7c5) solving the puzzle.

Carcul
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Postby Carcul » Wed Nov 15, 2006 10:55 am

Wapati wrote:I like this one. Not very technical, hard enough!


Code: Select all
 *------------------------------------------------------*
 | 45    6     459  | 2     89    3   | 1     7     58  |
 | 8     1     37   | 67    4     5   | 36    9     2   |
 | 37    29    259  | 679   789   1   | 3456  46    358 |
 |------------------+-----------------+-----------------|
 | 9     24    24   | 3     1     6   | 8     5     7   |
 | 37    5     6    | 8     279   4   | 239   1     39  |
 | 1     8     37   | 79    5     29  | 2349  24    6   |
 |------------------+-----------------+-----------------|
 | 46    49    1489 | 5     3     289 | 7     26    19  |
 | 2     7     589  | 1     6     89  | 59    3     4   |
 | 56    3     159  | 4     29    7   | 26    8     159 |
 *------------------------------------------------------*

1. [r7c2]-4-[r7c18](-2-[r7c6])-6-[r9c1]-5-[r9c39]=5|4=[r7c3]-4-[r7c2], => r7c2<>4 (where the "=5|4=" link is due to a TIUR argument).

2. Now we have a BUG+3 where r3c7=6 or r5c5=9 or r6c7=9, and so r5c9<>9 solving the puzzle.

Carcul
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Postby Carcul » Wed Nov 15, 2006 11:16 am

Wapati wrote:Ditto, no fancy tricks, enough steps.


Code: Select all
 *-----------------------------------------------------*
 | 1359  6     139 | 7     8     135 | 2     359   4   |
 | 7     358   4   | 35    2     9   | 1     6     38  |
 | 1359  1358  2   | 6     13    4   | 359   7     389 |
 |-----------------+-----------------+-----------------|
 | 2     7     5   | 4     9     13  | 6     8     13  |
 | 13    9     13  | 8     6     7   | 4     2     5   |
 | 6     4     8   | 13    5     2   | 7     39    139 |
 |-----------------+-----------------+-----------------|
 | 4     2     139 | 1359  13    6   | 8     1359  7   |
 | 1359  135   7   | 2     4     8   | 359   1359  6   |
 | 8     135   6   | 1359  7     135 | 359   4     2   |
 *-----------------------------------------------------*

1. [r8c1]=9=[r7c3]-9-[r7c4]=9=[r9c4]=5=[r1c1|r8c8]-5-[r8c1], => r8c1<>5.

2. [r9c4]=9|8=[r3c2]=1=[r9c2]-1-[r9c4], => r9c4<>1 solving the puzzle.

Carcul
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Postby daj95376 » Wed Nov 15, 2006 6:56 pm

ronk wrote:
daj95376 wrote:
Code: Select all
# sdIC on [r15c7]=2 => [r2c2]=[r7c9]=[r8c1]=[r9c4]=2 and ...
#   13 eliminations on 2
#    3      "       "  1
#    2      "       "  4
#    4      "       "  6
#    2      "       "  7
#    1      "       "  8
#   25      "       total
 *-------------------------------------------------------------*
 | 9      4      6-2  | 567    1    5678  | 268  2568   3      |
 | 3      2-168  5    | 9      4    68    | 7    168-2  16-2   |
 | 16     168    7    | 56     3    2     | 4    1568   9      |
 |--------------------+-------------------+--------------------|
 | 7      5      126  | 3      8    146   | 9    1246   146-2  |
 | 46-2   9      1268 | 14567  67   14567 | 268  3      1467-2 |
 | 46     3      168  | 1467   2    9     | 68   14678  5      |
 |--------------------+-------------------+--------------------|
 | 5      67-2   3    | 8      67   467   | 1    9      2-467  |
 | 2-16   167-2  4    | 167-2  9    3     | 5    67-2   8      |
 | 8      167-2  9    | 2-1467 5    1467  | 3    467-2  467-2  |
 *-------------------------------------------------------------*

:DThat's a mighty tall claim for one grouped turbot fish.

Code: Select all
sdIC overlapping assignments  *           *           *           *

[r1c7]=2             => [r2c2]=2 => [r8c1]=2 => [r9c4]=2 => [r7c9]=2 => [r4c8]=2 => [r5c3]=2
[r5c7]=2 => [r4c3]=2 => [r2c2]=2 => [r8c1]=2 => [r9c4]=2 => [r7c9]=2 => [r1c8]=2

When you perform the four overlapping assignments, you get the 25 eliminations I listed. Twelve of the eliminations come from candidates eliminated in the assignment cells.
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Postby ronk » Wed Nov 15, 2006 7:05 pm

daj95376 wrote:When you perform the four overlapping assignments, you get the 25 eliminations I listed. Twelve of the eliminations come from candidates eliminated in the assignment cells.

Have you seen anyone else count candidates removed by placements as 'eliminations'?
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Postby daj95376 » Wed Nov 15, 2006 7:20 pm

ronk wrote:
daj95376 wrote:When you perform the four overlapping assignments, you get the 25 eliminations I listed. Twelve of the eliminations come from candidates eliminated in the assignment cells.

Have you seen anyone else count candidates removed by placements as 'eliminations'?

If you prefer, then I'll only count the 13 eliminations in <2>. Since they're for a single digit, I'll be happy with that distinction.
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Postby wapati » Thu Nov 16, 2006 9:44 am

Busy puzzle, swordfish and 6 more patterns is the least I can do.:)

Code: Select all
9 . . | 3 . . | 4 5 .
. 4 . | . . 5 | . 2 6
. . . | . . . | 9 . 3
---------------------
4 . . | . 6 . | . 1 .
. . . | 4 7 3 | . . .
. 7 . | . 2 . | . . 5
---------------------
1 . 9 | . . . | . . .
2 3 . | 6 . . | . 9 .
. 5 7 | . . 4 | . . 2
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Postby wapati » Sun Nov 19, 2006 1:23 pm

There is a swordfish here but other patterns can be used instead.

Code: Select all
4 . . | 9 . . | 7 . 2
. 2 . | . 1 7 | 9 . .
. . . | . . . | . 6 1
---------------------
9 . . | . . 2 | . 7 .
. 1 . | . 7 . | . 9 .
. 3 . | 4 . . | . . 8
---------------------
1 4 . | . . . | . . .
. . 6 | 2 4 . | . 5 .
7 . 5 | . . 6 | . . 4
Last edited by wapati on Sun Nov 19, 2006 9:48 am, edited 1 time in total.
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Postby wapati » Sun Nov 19, 2006 1:44 pm

Several finned swordfish and at least one finned x-wing.

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

Postby Carcul » Sun Nov 19, 2006 3:22 pm

Wapati wrote:There is a swordfish here but other patterns can be used instead.


Code: Select all
 *---------------------------------------------------------*
 | 4      56     1  | 9      3568   358 | 7      38     2  |
 | 68     2      3  | 68     1      7   | 9      4      5  |
 | 58     7      9  | 358    2      4   | 38     6      1  |
 |------------------+-------------------+------------------|
 | 9      56     48 | 13568  3568   2   | 145    7      36 |
 | 256    1      48 | 3568   7      358 | 245    9      36 |
 | 256    3      7  | 4      569    19  | 125    12     8  |
 |------------------+-------------------+------------------|
 | 1      4      2  | 7      358    358 | 6      38     9  |
 | 3      89     6  | 2      4      19  | 18     5      7  |
 | 7      89     5  | 138    389    6   | 1238   12     4  |
 *---------------------------------------------------------*

r6c7=1 or r9c7=1, but because we already have r6c8=1 or r9c8=1, then r6c1 must be "2", which solves the puzzle.

Carcul
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Postby re'born » Sun Nov 19, 2006 4:08 pm

Carcul wrote:
Wapati wrote:There is a swordfish here but other patterns can be used instead.


Code: Select all
 *---------------------------------------------------------*
 | 4      56     1  | 9      3568   358 | 7      38     2  |
 | 68     2      3  | 68     1      7   | 9      4      5  |
 | 58     7      9  | 358    2      4   | 38     6      1  |
 |------------------+-------------------+------------------|
 | 9      56     48 | 13568  3568   2   | 145    7      36 |
 | 256    1      48 | 3568   7      358 | 245    9      36 |
 | 256    3      7  | 4      569    19  | 125    12     8  |
 |------------------+-------------------+------------------|
 | 1      4      2  | 7      358    358 | 6      38     9  |
 | 3      89     6  | 2      4      19  | 18     5      7  |
 | 7      89     5  | 138    389    6   | 1238   12     4  |
 *---------------------------------------------------------*

r6c7=1 or r9c7=1, but because we already have r6c8=1 or r9c8=1, then r6c1 must be "2", which solves the puzzle.

Carcul


I don't understand your solution. How do you get the first 'or' statement? Are you setting up incompatible UR's again? And how do you conclude r6c1 = 2 from your two 'or' assertions?

Another solution is to color the 1's to deduce r8c7=8. After this the puzzle is easy (one type 1 UR and singles).
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Postby Carcul » Sun Nov 19, 2006 4:21 pm

Wapati wrote:Several finned swordfish and at least one finned x-wing.


Code: Select all
 *---------------------------------------------------------------*
 | 367    3567   4    | 678    3578   1    | 678    9      2     |
 | 16     9      378  | 2      378    38   | 16     4      5     |
 | 167    2      578  | 6789   4      589  | 3      167    1678  |
 |--------------------+--------------------+---------------------|
 | 4      1      2    | 89     6      7    | 89     5      3     |
 | 79     57     6    | 3      589    2    | 4      17     1789  |
 | 8      37     3579 | 4      1      59   | 679    2      679   |
 |--------------------+--------------------+---------------------|
 | 3679   367    1    | 789    2      3489 | 5      37     479   |
 | 5      4      379  | 1      379    6    | 2      8      79    |
 | 2      8      379  | 5      379    349  | 1679   1367   14679 |
 *---------------------------------------------------------------*

Look at the AUR in cells r89c35, and the sets A(3,5,7,8)=[r1c5|r2c56], B(1,3,5,6,7)=[r123c1|r1c2]. So, r2c3<>7 solving the puzzle.

Carcul
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Postby wapati » Sun Nov 19, 2006 6:51 pm

This one has a finned swordfish but it can be passed up and still solved using patterns. XYZs, and a UR or two.

Code: Select all
. . 9|. . .|5 4 .
. . .|. . 1|8 . 7
7 . .|. . 9|. 3 6
-----+-----+-----
. . .|. 6 .|4 2 .
. . .|4 . 3|. . .
. 4 3|. 9 .|. . .
-----+-----+-----
3 5 .|9 . .|. . 4
6 . 1|5 . .|. . .
. 2 7|. . .|3 . .
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Postby wapati » Sun Nov 19, 2006 7:04 pm

x, xy, xyz and finned-x work on this one. Looks like a lazy 8:!:

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