333/4444 Fish

Everything about Sudoku that doesn't fit in one of the other sections

re: 333/4444 Fish

daj95376 wrote:
Bonus points will be given if a puzzle can be solved without a technique name starting with Almost or ending in Chain -- except XY-Chain. (i.e., the simpler the better!)

of the above Swordfish examples, only 3 would be acceptable as "superior plus" --

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

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

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

~ Pat

Pat

Posts: 3880
Joined: 18 July 2005

Re: re: 333/4444 Fish

Pat wrote:
daj95376 wrote:
Bonus points will be given if a puzzle can be solved without a technique name starting with Almost or ending in Chain -- except XY-Chain. (i.e., the simpler the better!)

of the above Swordfish examples, only 3 would be acceptable as "superior plus"

Pat, it appears that's because the others contain xy-wing(s).

daj95376, as you are likely aware, an xy-wing is a short xy-chain.
ronk
2012 Supporter

Posts: 4764
Joined: 02 November 2005
Location: Southeastern USA

It appears that I wasn't clear on the techniques that I'd prefer to see while solving a 333/4444 puzzle. I was trying to indicate in my initial message that XY-Chains were acceptable.

Here's a list of techniques my solver can handle. I was hoping to get puzzles that it could solve. You'll notice that ALS and other 'almost' techniques are missing. Most chains are missing, but XY-Chain is present.

Code: Select all
`Naked/Hidden SubsetsLocked Candidates (1) & (2)X-WingSwordfishJellyfishXY-WingXYZ-WingBUG+1Unique Rectangle Type 1XY-Chain`

After this, I resort to Templates and forcing chains to complete puzzles.
daj95376
2014 Supporter

Posts: 2624
Joined: 15 May 2006

re: the simpler the better

Pat wrote:
daj95376 wrote:
Bonus points will be given if a puzzle can be solved without a technique name starting with Almost or ending in Chain -- except XY-Chain. (i.e., the simpler the better!)

i liked "the simpler the better" therefore praised those 3 puzzles

Pat

Posts: 3880
Joined: 18 July 2005

re: 333/4444 Fish

daj95376 wrote:
Full Swordfish and Jellyfish appear to be difficult to locate.

I modified my puzzle-generator to try and generate them.

I now have many regular Swordfish and Jellyfish to share,
but I only managed to generate three 333 Swordfish.

three -- out of how many ?

just curious as to the statistics --

Pat

Posts: 3880
Joined: 18 July 2005

Re: re: 333/4444 Fish

Pat wrote:
three -- out of how many ?

just curious as to the statistics --

Pat,

Of 965 puzzles generated, I found 521 Swordfish with the following distribution for each type.
(note: Some puzzles had more than one Swordfish.)

Code: Select all
`222: 309223: 167233:  42333:   3`

As for cross-posting to the Superior Plus thread, I get chewed out enough. I try to keep cross-posting to a minimal. You are certainly welcome to cross-post any of my puzzles that you feel are appropriate elsewhere!
daj95376
2014 Supporter

Posts: 2624
Joined: 15 May 2006

re: statistics

daj95376 wrote:
Of 965 puzzles generated,
I found 521 Swordfish
with the following distribution for each type.
(note: Some puzzles had more than one Swordfish.)
Code: Select all
`222: 309223: 167233:  42333:   3`

thanks!
amazingly low occurrence of 333,
i hope someone can come up with an explanation --

Pat

Posts: 3880
Joined: 18 July 2005

4444 Jellyfish -- 2 new examples from Mauricio (2008.Jan.7)

Code: Select all
`.............1.....123.456...........23...78..47.6.12...........318.764..58...23.`
Code: Select all
` . . . | . . . | . . .  . . . | . 1 . | . . .  . 1 2 | 3 . 4 | 5 6 . -------+-------+------ . . . | . . . | . . .  . 2 3 | . . . | 7 8 .  . 4 7 | . 6 . | 1 2 . -------+-------+------ . . . | . . . | . . .  . 3 1 | 8 . 7 | 6 4 .  . 5 8 | . . . | 2 3 . `

Code: Select all
`.............1.....123.456...........27...38..36.5.42...........682.715..74...83.`
Code: Select all
` . . . | . . . | . . .  . . . | . 1 . | . . .  . 1 2 | 3 . 4 | 5 6 . -------+-------+------ . . . | . . . | . . .  . 2 7 | . . . | 3 8 .  . 3 6 | . 5 . | 4 2 . -------+-------+------ . . . | . . . | . . .  . 6 8 | 2 . 7 | 1 5 .  . 7 4 | . . . | 8 3 . `

Pat

Posts: 3880
Joined: 18 July 2005

Yes, Mauricio's pattern and clue cells force a 4444 Jellyfish in <9> to exist from the very beginning. The trick appears to be in assigning clues that force a minimal unique solution without compromising the Jellyfish. Impressive!
daj95376
2014 Supporter

Posts: 2624
Joined: 15 May 2006

Previous