The New Sudoku Players' Forum

by **ravel** » Sun Dec 31, 2006 12:44 am

wapati wrote:I saw the SE explaination, just don't get it.

Maybe someone should write a "unique loops for dummies", a link is missing in Mikes collection.

Here is a short version:
UL patterns are merely harder to spot than UR's:
Those are ones:

Code: Select all: . . . | . . . | . . . . . 12 | . 12 . | . . . . . . | . . . | . . . . . . | . . . | . . . . . . | . . . | . . . 12 . . | . 12 . | . . . ------------------------ -------------------------- 12 . . | . . . | . . 12 . . . | . . . | . . . 12 . . | 12. . | . . . . . . | . . . | . . . . . . | 12. . | . . 12 12 . 12 | . . . | . . .

Nicolas has samples with longer loops there.
And this is not one:

Code: Select all: . . . | . . . | . . . . . . | . . . | . . . 12 . . | . . . | . . 12 ------------------------ . . . | . . . | . . . 12 . . | 12. . | . . . . . . | 12. . | . . 12

Each of the cells must see another one in the same box, the same row and the same column (so in each unit - especially each box, like for UR's - you have exactly 2 of them). Then there is no other cell outside the pattern, that could "fix" the pattern - always 2 solutions are possible.
In the last sample the other 1 or 2 in the boxes above will fix it.

Now, like for UR at least one of the extra candidates must be true.
If you have one extra candidate, it must be true (type 1).
If you have 2 with the same number, you can eliminate it from all cells, that see both (type 2).
If you have extra numbers in only 2 cells of one unit and one of the UL numbers is conjugated in this unit (no other cell has it), you can eliminate the other UL number there (type 4).
If you have 2 extra numbers in only 2 cells of one unit and a pair of those extra numbers in the same unit (or 3 and 2 triples or 4 and 3 quads), you can eliminate them from the other cells of that unit (type 3).

by **wapati** » Sun Dec 31, 2006 7:08 pm

Thanks Ravel, for the UL explanation!

Here is some xy practice. There are 5 followed by a sky/Turbot.

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

by **wapati** » Mon Jan 01, 2007 10:00 pm

Another swordfish. There are two, one of them "required".

Several Turbots, all three types available. (Sky, kite, classic.)

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

by **wapati** » Mon Jan 01, 2007 10:13 pm

Swordfish day? Is that like "pancake day" :?:

Swordfish, x-wing, xy-wing and a kite/Turbot.

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

by **wapati** » Mon Jan 01, 2007 11:15 pm

Tough one for patterns.

If you have SA or SS and try them to "the end" you will be left with a sashimi x-wing. That is a "headless" finned x-wing.

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

by **wapati** » Tue Jan 02, 2007 1:25 am

Hmmm...Swordfish?

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

by **daj95376** » Tue Jan 02, 2007 1:34 am

wapati wrote:Tough one for patterns.

If you have SA or SS and try them to "the end" you will be left with a sashimi x-wing. That is a "headless" finned x-wing.

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

After Singles, 2x Locked Candidate (1), and 2x XY-Wing -- overlapping Swordfish.

Code: Select all: # finned Swordfish c347\r128 on <5> *--------------------------------------------------------------------* | 39-5 6 8 |*345 1 2 |*357 479 39 | | 7 134-5 *1245 | 9 8 345 |*356 146 123 | | 12359 13459 #1245 | 6 345 7 | 8 149 1239 | |----------------------+----------------------+----------------------| | 15 7 3 | 14 2 45 | 9 8 6 | | 4 2 6 | 8 7 9 | 1 3 5 | | 8 15 9 | 13 35 6 | 4 2 7 | |----------------------+----------------------+----------------------| | 3569 3459 7 | 2 45 8 | 36 169 139 | | 2359 8 *25 |*35 6 1 | 237 79 4 | | 1236 134 124 | 7 9 34 | 236 5 8 | *--------------------------------------------------------------------*

Same grid.

Code: Select all: # ??? Swordfish r467\c125 on <5> # fin cell [r4c6]=5 => [r6c2]=5 => eliminations *--------------------------------------------------------------------* | 359 6 8 | 345 1 2 | 357 479 39 | | 7 134-5 1245 | 9 8 345 | 356 146 123 | | 12359 1349-5 1245 | 6 345 7 | 8 149 1239 | |----------------------+----------------------+----------------------| |*15 7 3 | 14 2 #45 | 9 8 6 | | 4 2 6 | 8 7 9 | 1 3 5 | | 8 *15 9 | 13 *35 6 | 4 2 7 | |----------------------+----------------------+----------------------| |*3569 *3459 7 | 2 *45 8 | 36 169 139 | | 2359 8 25 | 35 6 1 | 237 79 4 | | 1236 134 124 | 7 9 34 | 236 5 8 | *--------------------------------------------------------------------*

by **wapati** » Tue Jan 02, 2007 1:53 am

Sorry daj, I could have been more clear.

This is the "headless finned x-wing". "#" where the head would have been.

Code: Select all: .--------------------.------------------.------------------. | 39-5 6 #8 |*345 1 2 | 357 479 39 | | 7 134 *1245 | 9 8 345 | 356 146 123 | | 12359 13459 *1245 | 6 345 7 | 8 149 1239 | :--------------------+------------------+------------------: | 15 7 3 | 14 2 45 | 9 8 6 | | 4 2 6 | 8 7 9 | 1 3 5 | | 8 15 9 | 13 35 6 | 4 2 7 | :--------------------+------------------+------------------: | 3569 3459 7 | 2 45 8 | 36 169 139 | | 2359 8 *25 |*35 6 1 | 237 79 4 | | 1236 134 124 | 7 9 34 | 236 5 8 | '--------------------'------------------'------------------'

Your swords, I don't see them. (I am somewhat deaf, also, years of factory exposure to noise.)
Blind in one ear, cannot see out of the other.

by **wapati** » Tue Jan 02, 2007 2:01 am

This is nasty. Carcul, I would hope you can nail this.

It is tedious from a pattern perspective, way too many steps.

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

by **wapati** » Tue Jan 02, 2007 5:02 am

Swordfish!

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

Well, and some other stuff of a pattern sort.

by **wapati** » Tue Jan 02, 2007 5:46 am

Jellyfish. Some baggage.

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

by **claudiarabia** » Wed Jan 03, 2007 1:43 am

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

A version for Carcul with Forcing Chains required is in my "original shape"-thread.

Claudia

by **wapati** » Wed Jan 03, 2007 6:50 pm

xyz practice. 3 are in there, two required.

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

by **daj95376** » Thu Jan 04, 2007 10:15 pm

wapati,

Since Swordfish make you happy. You should be doubly happy with these puzzles.

Code: Select all: 562.......8.....15.1.4.58....86.....9..831..2.....49....32.8.5.62.....3.......291 3.....4...7.9..13..49.21..7.1.2..9..5..7.9..3..3..6.5.9..16.72..67..2.4...5.....9 ..1..74..2....4..66....1.8.....35....82...61....81.....3.1....58..5....1..54..8.. .5.9..47.....5...26.2..7.9.5..4..6..236...849..9..6..7.2.3..7.53...7.....75..9.6. 21......9.749..5...6...4...43..2....5..7.3..4....4..75...3...5...9..576.7......92 95.1....7..835.........8...54.7...8.1...6...4.8...4.63...4.........795..7....5.48 1...........8..4615.3.6..9...2.....8.841.293.3.....1...3..4.2.6825..3...........3 24..6..9...5..8.....83...65.....3..2..9...5..5..7.....83...92.....6..8...6..7..43 7.6..453..2....4.......9..7...53....13.....75....46...6..7.......2....6..573..2.4 6.....51..7.61......2..7.641..2......56...49......8..254.1..8......74.2..28.....1 45.....6...3.4.5...1.5.8...6...5.1...3.8.1.9...7.3...4...3.6.1...1.7.3...9.....76 8.7.5...1.....1.......942.741.5..3...9..4..8...5..8.427.298.......2.....5...1.7.8 .....6.48.....45..5.1..82..7....54.2.8.....6.3.46....1..32..1.5..28.....86.4..... ..2.1.5.8.5.....9...1583......82...9..4...3..6...35......9526...2.....8.5.3.6.9.. .....7...1..52..76327.4.8........76.2..6.8..3.76........2.8.35758..61..4...3..... 2..4.9.56.56......91.3.5......17.2...6.....4...1.34......2.7.64......73.74.6.3..2 2...1...6.5...8.....43...27...1...8.8.7...1.3.2...4...18...75.....5...3.7...8...2 ........618.9.64.....45.9...3...1...6.5.8.1.7...5...8...6.75.....16.4.958........ 4.9..1..2.72.381...3........23..4..6....6....6..3..21........4...497.68.3..4..7.1 3.9...87...6.....5...74...9.789........865........318.5...91...1.....7...83...9.1 7..1.8.5....32..4......98.25.9....2.....9.....7....4.54.89......2..37....5.4.2..3 4...9..1..6......9..8.35.6...39.41....6...5....52.14...8.51.9..6......4..3..2...1

===== ===== ===== Swordfish + Jellyfish

Code: Select all: ..3...8..8.5....62.6.4..3...5..68..1..4.2.5..1..35..2...7..1.5.52....1.4..8...6.. 6.4...95..15..9..47..3.5.6..21.3.....63...21.....1.53..5.7.4..11..9..64..49...7.5 ..67.23...8...9..75.2.3....25..8...4.6.....8.8...7..92....2.9.54..6...7...59.38.. .672....3.1.74.6....3....1...4...23.3...2...9.96...1...3....9....2.59.7.9....746.

Anyone interested in 106 Jellyfish in puzzles from easy to medium difficulty?

by **wapati** » Fri Jan 05, 2007 5:07 am

daj95376 wrote:wapati,

Since Swordfish make you happy. You should be doubly happy with these puzzles.

Yep, I am!

All the ones I looked at so far are 180 degree symetric.
Is this to increase the likelyhood of fish or is it just a prefernce?

Anyone interested in 106 Jellyfish in puzzles from easy to medium difficulty?

Pick me! I would quite enjoy working on them!

The New Sudoku Players' Forum

CHAINS, not required. Good puzzles.

Many techniques - continuous coloring chain, APE (WXYZ-Wing)