The New Sudoku Players' Forum

by **re'born** » Sun Nov 05, 2006 12:36 pm

wapati wrote:Interesting puzzle. The swordfish is reuired by pattern hunters, I believe.

Code: Select all
. . 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

Code: Select all: *--------------------------------------------------------------------* | 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.

by **wapati** » Sun Nov 05, 2006 8:59 pm

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

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

by **wapati** » Sun Nov 05, 2006 11:51 pm

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

Or not,

, I get x xy xyz , and gx ER Turbot

Code: Select all: . . . | . 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 . | . . .

by **wapati** » Mon Nov 06, 2006 12:58 am

Four, or so.

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

by **wapati** » Mon Nov 06, 2006 1:26 am

A bunch! One sword.

Code: Select all: . . 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 . .

by **wapati** » Mon Nov 06, 2006 1:31 am

Nasty.

Code: Select all: . . . | . . 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 . . | . . .

by **wapati** » Mon Nov 06, 2006 1:36 am

'Squito

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

by **wapati** » Mon Nov 06, 2006 1:54 am

Drill rig.

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

by **wapati** » Mon Nov 06, 2006 8:30 am

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

It has complexity.

Code: Select all: ..2.6.... 63.2..5.. 5..9...8. 713...... 8.......2 .2.8..15. .....6..5 ...1.5.7. ....2984.

by **Carcul** » Mon Nov 06, 2006 2:25 pm

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

Code: Select all: *----------------------------------------------------* | 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

Code: Select all: *---------------------------------------------------------* | 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

by **Carcul** » Mon Nov 06, 2006 3:13 pm

Wapati wrote:Four, or so.

Code: Select all: *--------------------------------------------------------* | 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

by **Carcul** » Mon Nov 06, 2006 3:51 pm

Wapati wrote:A bunch! One sword.

Code: Select all: *---------------------------------------------------* | 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

by **wapati** » Tue Nov 07, 2006 6:46 am

Three patterns can handle it, used some times.

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

Code: Select all: . . . | . . . | . 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 . | . . . | . . .

by **wapati** » Tue Nov 07, 2006 8:13 am

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

You can find way more patterns. :!:

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

by **wapati** » Tue Nov 07, 2006 8:35 am

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.

Code: Select all: 3..6..... .86..4.2. .27..9... 4...6123. ...8.2... .7294...1 ...4..17. .1.3..85. .....8..3

The New Sudoku Players' Forum

CHAINS, not required. Good puzzles.