## CHAINS, not required. Good puzzles.

Post puzzles for others to solve here.
wapati wrote:Interesting puzzle. The swordfish is reuired by pattern hunters, I believe.

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`. . 9 | . . . | . . .. . 1 | 9 . . | 6 7 .8 6 . | . 2 . | . 1 .---------------------. 4 . | 3 1 . | . . .. . 6 | 2 . 9 | 7 . .. . . | . 5 6 | . 2 .---------------------. 5 . | . 9 . | . 8 6. 3 8 | . . 5 | 1 . .. . . | . . . | 3 . .`

Singles take you to

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` *--------------------------------------------------------------------* | 345    7      9      | 568    368    1      | 2458   345    23458  | | 345    2      1      | 9      38     48     | 6      7      3458   | | 8      6      35     | 57     2      47     | 459    1      3459   | |----------------------+----------------------+----------------------| | 2579   4      257    | 3      1      78     | 589    6      589    | | 135    18     6      | 2      48     9      | 7      345    13458  | | 1379   189    37     | 478    5      6      | 489    2      13489  | |----------------------+----------------------+----------------------| | 127    5      27     | 14     9      3      | 24     8      6      | | 269    3      8      | 46*    467*   5      | 1      49*    24     | | 169    19     4      | 168    678-   2      | 3      59*    57*    | *--------------------------------------------------------------------*`

A little subset counting shows that (9,5)!7 and it is singles from here on out. Note that this is more commonly seen as an application of the ALS xz-rule.
re'born

Posts: 551
Joined: 31 May 2007

Nice puzzle, a bit milder.
X-wing, xy, Turbot or ER and a UR.

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`. 6 7|. . .|. 3 48 . 2|6 . .|. . 11 . .|. . .|. . .-----+-----+-----. . .|. . 6|. . .. 5 8|2 . .|. . .. . 3|. 9 .|. 6 .-----+-----+-----2 . .|3 5 .|. 4 6. 1 .|. 6 .|. . 2. . 6|. . .|8 7 .`
wapati
2010 Supporter

Posts: 527
Joined: 13 September 2006

This is hard, for me.
5 methods, some more than once.

Or not, , I get x xy xyz , and gx ER Turbot

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`. . . | . 4 . | 1 . .. . 7 | . 2 . | . 5 .. 8 . | 5 . 7 | . . 6---------------------. . 4 | . 8 1 | 3 . .2 7 . | 4 . 5 | . 6 1. . 3 | 2 7 . | 8 . .---------------------7 . . | 3 . 4 | . 2 .. 4 . | . 5 . | 6 . .. . 5 | . 6 . | . . .`
wapati
2010 Supporter

Posts: 527
Joined: 13 September 2006

Four, or so.

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`. 4 . | . . . | . . 69 . . | . . 1 | 7 . .. . 5 | . 2 . | 1 4 .---------------------. . . | 3 1 . | . 9 .. . 3 | 9 . 4 | 8 . .. 1 . | . 5 8 | . . .---------------------. 5 2 | . 4 . | 3 . .. . 1 | 8 . . | . . 77 . . | . . . | . 8 .`
wapati
2010 Supporter

Posts: 527
Joined: 13 September 2006

A bunch! One sword.
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`. . 8 | . 7 . | . . .. 5 4 | 2 . . | 9 . .6 3 . | 9 . 5 | . 2 .---------------------. 2 7 | 8 . . | 6 . .4 . . | . . . | . . 9. . 9 | . . 6 | 7 4 .---------------------. 4 . | 5 . 9 | . 7 6. . 6 | . . 7 | 2 9 .. . . | . 2 . | 5 . .`
wapati
2010 Supporter

Posts: 527
Joined: 13 September 2006

Nasty.
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`. . . | . . 7 | 2 6 .. . . | 2 5 . | 8 . 7. . 2 | . . . | . 4 1---------------------. 6 . | . 1 . | . . 8. 8 . | 7 . 4 | . 1 .1 . . | . 3 . | . 5 .---------------------4 3 . | . . . | 6 . .8 . 1 | . 6 9 | . . .. 7 6 | 5 . . | . . .`
wapati
2010 Supporter

Posts: 527
Joined: 13 September 2006

'Squito

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`. 4 9|8 . .|. . 27 . .|2 . .|. 8 .2 . .|. . 3|6 . .-----+-----+-----4 8 .|. 9 .|3 . .. . .|3 . 4|. . .. . 2|. 8 .|. 4 5-----+-----+-----. . 4|7 . .|. . 3. 9 .|. . 2|. . 65 . .|. . 8|4 9 .`
wapati
2010 Supporter

Posts: 527
Joined: 13 September 2006

Drill rig.

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`7 2 . | . 6 1 | . . .6 . 3 | 2 . . | . . .. 9 . | . . . | . . .---------------------. 4 . | . 1 6 | . . 95 . . | 7 . 9 | . . 81 . . | 4 5 . | . 7 .---------------------. . . | . . . | . 8 .. . . | . . 4 | 1 . 6. . . | 1 9 . | . 3 4`
wapati
2010 Supporter

Posts: 527
Joined: 13 September 2006

Not sure of this one. Pretty hard for me.
I think there is a swordfish, I found it, you may not.

It has complexity.

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`..2.6....63.2..5..5..9...8.713......8.......2.2.8..15......6..5...1.5.7.....2984.`
wapati
2010 Supporter

Posts: 527
Joined: 13 September 2006

Wapati wrote:Nice puzzle, a bit milder. X-wing, xy, Turbot or ER and a UR.

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` *----------------------------------------------------* | 5     6     7 | 189   128   1289 | 29    3     4   | | 8     39    2 | 6     347   349  | 79    5     1   | | 1     39    4 | 579   237   2359 | 6     28    789 | |---------------+------------------+-----------------| | 9     27    1 | 4578  3478  6    | 2457  28    378 | | 6     5     8 | 2     347   34   | 479   1     379 | | 4     27    3 | 1578  9     158  | 257   6     78  | |---------------+------------------+-----------------| | 2     8     9 | 3     5     7    | 1     4     6   | | 7     1     5 | 48    6     48   | 3     9     2   | | 3     4     6 | 19    12    129  | 8     7     5   | *----------------------------------------------------*`

1. ALS xz-rule: A={2,3,4,7,8: [r2345c5]}, B={2,8: [r4c8]}, x=8, z=2, => r3c8<>2.

2. A={2,3,4,7,8: [r2345c5]}, B={2,5: [r3c6]}, C={5,8: [r4c4]}, => r3c4<>5, solving the puzzle.

Wapati wrote:This is hard, for me. 5 methods, some more than once. Or not, , I get x xy xyz , and gx ER Turbot

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` *---------------------------------------------------------* | 3569   23569  269 | 69     4      369 | 1      8      7 | | 136    136    7   | 18     2      368 | 4      5      9 | | 4      8      19  | 5      19     7   | 2      3      6 | |-------------------+-------------------+-----------------| | 569    569    4   | 69     8      1   | 3      7      2 | | 2      7      8   | 4      3      5   | 9      6      1 | | 169    169    3   | 2      7      69  | 8      4      5 | |-------------------+-------------------+-----------------| | 7      169    169 | 3      19     4   | 5      2      8 | | 189    4      129 | 7      5      289 | 6      19     3 | | 1389   1239   5   | 18     6      289 | 7      19     4 | *---------------------------------------------------------*`

1. r8c3=2 or r7c2=6, and so r1c3<>2.
2. r2c2=6 or r9c2=9, and so r6c2<>6,9 solving the puzzle.

Carcul
Carcul

Posts: 724
Joined: 04 November 2005

Wapati wrote:Four, or so.

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` *--------------------------------------------------------* | 1     4     78   | 57    3789  357  | 29    23    6    | | 9     2     68   | 4     368   1    | 7     35    58   | | 36    3678  5    | 67    2     679  | 1     4     89   | |------------------+------------------+------------------| | 256   678   4678 | 3     1     267  | 256   9     245  | | 25    67    3    | 9     67    4    | 8     125   125  | | 246   1     9    | 26    5     8    | 246   7     3    | |------------------+------------------+------------------| | 8     5     2    | 167   4     679  | 3     16    19   | | 346   369   1    | 8     369   2356 | 2459  256   7    | | 7     369   46   | 1256  369   2356 | 259   8     1245 | *--------------------------------------------------------*`

1. "X-Wing" on cells [r589c25], => r3c2/r4c2/r2c5<>6.
2. A={1,7,9: [r7c45]}, B={3,8,9: [r28c5]}, C={1,2,5,8: [r259c9]}, => r7c9<>1 solving the puzzle.

Carcul
Carcul

Posts: 724
Joined: 04 November 2005

Wapati wrote:A bunch! One sword.

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` *---------------------------------------------------* | 2     9     8 | 14    7     13  | 134   6     5   | | 7     5     4 | 2     6     138 | 9     138   138 | | 6     3     1 | 9     48    5   | 48    2     7   | |---------------+-----------------+-----------------| | 13    2     7 | 8     9     4   | 6     5     13  | | 4     6     5 | 7     13    2   | 138   138   9   | | 138   18    9 | 13    5     6   | 7     4     2   | |---------------+-----------------+-----------------| | 18    4     2 | 5     138   9   | 138   7     6   | | 5     18    6 | 134   1348  7   | 2     9     138 | | 9     7     3 | 6     2     18  | 5     18    4   | *---------------------------------------------------*`

r6c1=1 or r8c9=3 or r2c9=1. But, if r7c7=3 then [r6c1]-1-[r6c4]=1=
=[r5c5]-1-[r7c5]=1=[r7c1]-1-[r6c1] and [r2c9]-1-[r1c7]=1=[r1c4]-1-
-[r6c4]=1=[r5c5]-1-[r5c78]=1=[r4c9]-1-[r2c9]. So, r8c9=3 and the puzzle is solved.

Carcul
Carcul

Posts: 724
Joined: 04 November 2005

Three patterns can handle it, used some times.

I am thinking ER, finned sword and xyz. Other patterns work.

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`. . . | . . . | . 8 .. . . | . 7 6 | . 5 2. . 7 | 1 5 . | 4 . .---------------------. . 3 | 2 4 . | . 9 .. 5 8 | 7 . 9 | 6 4 .. 4 . | . 8 5 | 2 . .---------------------. . 6 | . 2 7 | 5 . .7 8 . | 5 6 . | . . .. 9 . | . . . | . . .`
wapati
2010 Supporter

Posts: 527
Joined: 13 September 2006

This one is shortest (pattern wise) with a UR and two skyscrapers.

You can find way more patterns.
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`. . 1 | . . . | 4 . .7 2 3 | . 8 . | . . .. . . | . . 1 | . . 7---------------------1 . 2 | . . 4 | 7 . .. 4 5 | . 7 . | . 3 .8 . . | . . . | . . .---------------------. . 4 | . 6 3 | . 5 22 6 . | . 4 . | . 7 .. 5 . | 1 . 8 | . 4 .`
wapati
2010 Supporter

Posts: 527
Joined: 13 September 2006

Somewhat odd, this.

You can do it with just ERs.
I did it with a grouped x and some Turbots, (I don't like them much).

I don't normally check colours but I had SS active and yep, colours can do it.

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`3..6......86..4.2..27..9...4...6123....8.2....7294...1...4..17..1.3..85......8..3`
wapati
2010 Supporter

Posts: 527
Joined: 13 September 2006