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by **wapati** » Sun Nov 19, 2006 7:45 pm

A Swordfish in this one, an xyz and some finned x things.

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

by **Carcul** » Mon Nov 20, 2006 10:57 am

Rep'nA wrote:I don't understand your solution. How do you get the first 'or' statement?

ATILA.

Rep'nA wrote:And how do you conclude r6c1 = 2 from your two 'or' assertions?

Look how the "2s" are distributed in rows 6 and 9. What would happen if r6c1~2?

Carcul

by **Carcul** » Mon Nov 20, 2006 11:12 am

Wapati wrote: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: *----------------------------------------------------------* | 128 1368 9 | 23678 278 2678 | 5 4 12 | | 5 36 26 | 236 4 1 | 8 9 7 | | 7 18 4 | 28 5 9 | 12 3 6 | |------------------+--------------------+------------------| | 9 178 5 | 178 6 78 | 4 2 3 | | 128 1678 26 | 4 1278 3 | 9 178 5 | | 128 4 3 | 1278 9 5 | 167 1678 18 | |------------------+--------------------+------------------| | 3 5 8 | 9 27 27 | 16 16 4 | | 6 9 1 | 5 3 4 | 27 78 28 | | 4 2 7 | 168 18 68 | 3 5 9 | *----------------------------------------------------------*

We have r5c2=6 or r9c4=6, and so r1c4/r2c4<>6. After that, the puzzle is solved with a BUG+2 (r6c9<>1) or an ATILA(1) over 7 cells (r6c1=1).

Carcul

by **Carcul** » Mon Nov 20, 2006 11:37 am

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

Code: Select all: *---------------------------------------------------------------* | 234 24 5 | 9 1 3678 | 246 478 2378 | | 349 1 7 | 368 56 2 | 469 4589 389 | | 8 6 239 | 37 57 4 | 129 1579 12379 | |--------------------+--------------------+---------------------| | 6 5 29 | 27 4 17 | 8 3 1279 | | 1 278 28 | 5 3 9 | 24 47 6 | | 279 3 4 | 267 8 167 | 129 179 5 | |--------------------+--------------------+---------------------| | 37 789 368 | 1 679 3678 | 5 2 4 | | 5 2789 128 | 4 79 78 | 3 6 189 | | 34 489 1368 | 368 2 5 | 7 189 189 | *---------------------------------------------------------------*

Let's start by noting that if r5c2~7 then we have r9c2=9 or r3c5=7.
Ok. Consider the sets A(3,4,7,9)=[r279c1], B(2,3,4)=[r1c12], C(2,4,6,9)=[r12c7], and D(2,4,7,8)=[r5c237]. If r6c1=7 then A is locked => B locked => C locked => D locked on "2,7,8". So, r6c1<>7.
Now we have:

[r8c9]=9=[r9c89]-9-[r9c2]=9|7=[r3c5]-7-[r3c4]-3-[r34c3]-2-[r8c3]-1-
-[r8c9], => r8c9<>1 solving the puzzle.

Carcul

by **wapati** » Mon Nov 20, 2006 8:46 pm

Turbot, x-wing, xy and skyscraper.

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

by **wapati** » Mon Nov 20, 2006 9:23 pm

xy, xyz, UR, Turbots/ER. Busy enough.
It looks like a braid but I didn't see a swordfish.

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

by **wapati** » Mon Nov 20, 2006 10:41 pm

Nothing exotic, busy though.

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

by **Carcul** » Tue Nov 21, 2006 10:18 am

Wapati wrote:Nothing exotic, busy though.

Code: Select all: *-----------------------------------------------------------* | 8 357 27 | 257 23 6 | 4 9 1 | | 26 367 1 | 247 9 234 | 8 67 5 | | 456 456 9 | 8 17 15 | 67 3 2 | |-------------------+-------------------+-------------------| | 24569 4569 246 | 3 8 24 | 169 1456 7 | | 469 8 3 | 1 5 7 | 69 2 469 | | 1 457 247 | 24 6 9 | 3 458 48 | |-------------------+-------------------+-------------------| | 7 1 46 | 9 23 23 | 5 468 468 | | 3 69 8 | 57 4 15 | 2 17 69 | | 49 2 5 | 6 17 8 | 179 14 3 | *-----------------------------------------------------------*

If r5c7=6 then {TILA(9): r5c1|r5c9|r8c9|r9c7|r9c1}. So, r5c7<>6 and the puzzle is solved.

Carcul

by **Carcul** » Tue Nov 21, 2006 10:47 am

Wapati wrote:xy, xyz, UR, Turbots/ER. Busy enough.
It looks like a braid but I didn't see a swordfish.

Code: Select all: *-----------------------------------------------------* | 7 4 69 | 13 5 68 | 38 1389 2 | | 8 3 2 | 14 7 9 | 6 15 45 | | 69 5 1 | 2 38 468 | 3478 389 4789 | |----------------+-----------------+------------------| | 1459 19 3 | 8 6 45 | 457 2 4579 | | 2 8 45 | 9 1 7 | 345 35 6 | | 459 6 7 | 45 2 3 | 1 589 4589 | |----------------+-----------------+------------------| | 356 7 68 | 35 9 1 | 2 4 58 | | 345 2 45 | 6 38 58 | 9 7 1 | | 159 19 89 | 7 4 2 | 58 6 3 | *-----------------------------------------------------*

[r7c9]-5-[r2c9]-4-[r2c4]-1-[r1c4]-3-[r7c4]-5-[r7c9], => r7c9<>5 solving the puzzle.

Carcul

by **wapati** » Tue Nov 21, 2006 11:26 pm

xy, multiple Turbots, skyscrapers and x-wings.

Code: Select all: .17..9..3 98..7.... 5.3...... ...78...4 .9.6.1.2. 6...92... ......4.1 ....5..89 3..1..25.

by **wapati** » Wed Nov 22, 2006 12:58 am

xyz, several xys and 2 xwings, and an ER/Turbot/or skyscraper.

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

by **Carcul** » Wed Nov 22, 2006 4:29 pm

Wapati wrote:xy, multiple Turbots, skyscrapers and x-wings.

Code: Select all: *--------------------------------------------------------------* | 24 1 7 | 58 246 9 | 58 46 3 | | 9 8 246 | 2345 7 3456 | 156 146 256 | | 5 246 3 | 248 1 46 | 6789 4679 2678 | |--------------------+--------------------+--------------------| | 12 235 125 | 7 8 35 | 69 69 4 | | 478 9 458 | 6 34 1 | 3578 2 578 | | 6 3457 458 | 345 9 2 | 13578 137 578 | |--------------------+--------------------+--------------------| | 278 2567 2568 | 9 236 367 | 4 367 1 | | 1247 2467 1246 | 234 5 3467 | 367 8 9 | | 3 467 9 | 1 46 8 | 2 5 67 | *--------------------------------------------------------------*

[r6c7]=3=[r7c6](-3-[r7c8])-3-[r234c6]-6-[r1c5]=6=[r1c8](-6-[r2c7])-6-
-[(r7c8)](-3-[r7c5]=3=[r5c5]-3-[r5c79|r6c9]-5,7,8-[r6c7])-7-[r9c9]=7=
=[r9c2]-7-[r6c2]=7=[r5c1]-7-[r125c7]-1-[r6c7], => r6c7<>1,5,7,8.

After that, r2c4 must be "3", otherwise the puzzle would have more than one solution.

Carcul

by **Carcul** » Wed Nov 22, 2006 4:59 pm

Wapati wrote:xyz, several xys and 2 xwings, and an ER/Turbot/or skyscraper.

Code: Select all: *------------------------------------------------------------* | 9 17 17 | 5 8 36 | 36 2 4 | | 456 356 8 | 2 469 346 | 7 359 1 | | 456 2 346 | 7 469 1 | 56 8 359 | |--------------------+-------------------+-------------------| | 2 158 14 | 6 3 7 | 9 145 58 | | 14567 567 3467 | 9 25 8 | 125 457 235 | | 57 3578 9 | 4 1 25 | 2358 357 6 | |--------------------+-------------------+-------------------| | 17 9 27 | 3 2457 245 | 1258 6 258 | | 3 167 5 | 8 267 26 | 4 19 29 | | 8 4 26 | 1 256 9 | 235 35 7 | *------------------------------------------------------------*

[r6c6]=2|3=[r6c8]-3-[r5c9](-5-[r5c2])=3|1=[r5c7]-1-[r7c7]=1=[r7c1]-1-
-[r58c2]-7-[r1c2]=7=[r1c3]-7-[r7c3]-2-[r7c9]=2=[r5c9]-2-[r5c5]=2=
=[r6c6], => r6c6=2 solving the puzzle.

Carcul

by **wapati** » Wed Nov 22, 2006 9:10 pm

There is a finned swordfish here but it isn't needed.
Turbots and xys, mostly, and an x-wing.

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

by **wapati** » Wed Nov 22, 2006 9:23 pm

This one has 3 finned-x-wings and a nice finned swordfish but,
you may chose to use 2 xy patterns and 3 turbots.

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

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