## 2 skyscrapers in sequence not so good idea

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### 2 skyscrapers in sequence not so good idea

Puzzle 301 of PG26855.txt is:
100000002030040050006201400001706200000000000003102800008309700020060090300000006 56 28 26 m_b_metcalf
After solving 37 singles (and some naked/hidden subsets) this is the result:
1845.3..2.32648.5...62.14388917362452.5984.1..431528.9..8319724427865.9.319427586

Code: Select all
` +-----------+------------+-----------+ |  1   8  4 |  5  79   3 |  69 67  2 | |  79  3  2 |  6   4   8 |  19 5  17 | |  579 57 6 |  2  79   1 |  4  3   8 | +-----------+------------+-----------+ |  8   9  1 |  7   3   6 |  2  4   5 | |  2  67  5 |  9   8   4 |  36  1 37 | |  67  4  3 |  1   5   2 |  8  67  9 | +-----------+------------+-----------+ |  56 56  8 |  3   1   9 |  7   2  4 | |  4   2  7 |  8   6   5 |  13  9 13 | |  3   1  9 |  4   2   7 |  5   8  6 | +-----------+------------+-----------+`

Now I think there are 2 Skyscrapers :
(7)r5,32c29 =>r2c1<>7 and after eliminating the 7, the second (7)r6,21c18 =>r2c9<>7
That leaves r1c8 = 7 and no solution for 7's in row 2.

But there is a unique solution to the puzzle:
184573962932648157756291438891736245275984613643152879568319724427865391319427586

What happened...
2 skyscrapers in sequence is not a good idea.
After the first skyscraper you have to look for singles (stte)
and not for another skyscraper.

But in my solver I often search for more candidate eliminations during the same solving method

Edit: Typo 5->2 in box 7 corrected
Last edited by Hajime on Thu Apr 30, 2020 3:15 pm, edited 1 time in total.

Hajime

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### Re: 2 skyscrapers in sequence not so good idea

There are Two single by '5' in row 8.

BTW:My solver found a bug+1 then stte
Last edited by yzfwsf on Thu Apr 30, 2020 3:37 pm, edited 1 time in total.
yzfwsf

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### Re: 2 skyscrapers in sequence not so good idea

yzfwsf wrote:There are Two single by '5' in row 8.

Sorry. Is now corrected. Point stands. How to proceed during elimination of candidates process during the same solving method?

Hajime

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Location: Fryslân

### Re: 2 skyscrapers in sequence not so good idea

Hajime wrote:
yzfwsf wrote:There are Two single by '5' in row 8.

Sorry. Is now corrected. Point stands. How to proceed during elimination of candidates process during the same solving method?

except for rules involving uniqueness, the solving order has no importance, so generally speaking, applying in once all equivalents (in rating) moves is correct;.

Side question??
How did you get this wrong pm
champagne
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### Re: 2 skyscrapers in sequence not so good idea

I was extending my solver with Kites and Skyscrapers. Like always I programmed the subroutine finding all skyscrapers. And accidentally I tested it on the 26855 puzzles from m_b_metcalf. There the problem shows up...
At 301 I get the message that the puzzle was ruined...

Hajime

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### Re: 2 skyscrapers in sequence not so good idea

yzfwsf wrote:BTW:My solver found a bug+1 then stte

But did you search for skyscrapers? Not in the list of SE, but probably with a lower value than Bug+1

Hajime

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Location: Fryslân

### Re: 2 skyscrapers in sequence not so good idea

champagne wrote:except for rules involving uniqueness, the solving order has no importance, so generally speaking, applying in once all equivalents (in rating) moves is correct;.

This is in contradiction with the example with a sequence of skyscrapers above. Like you I never would expect this, but shit happens...

Hajime

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Location: Fryslân

### Re: 2 skyscrapers in sequence not so good idea

After r2c1<>7 there is no second skyscraper. Only if some sloppy administration does not remove the 7, the second is present (illegally).
My apologies to every one for my mistake.

Hajime

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Location: Fryslân

### Re: 2 skyscrapers in sequence not so good idea

Hajime wrote:Now I think there are 2 Skyscrapers :
(7)r5,32c29 =>r2c1<>7 and after eliminating the 7, the second (7)r6,21c18 =>r2c9<>7

the pm at this point is valid, each final value is in the pm

Code: Select all
`     +-----------+------------+-----------+     |  1   8  4 |  5  79   3 |  69 67  2 |184573962     |  79  3  2 |  6   4   8 |  19 5  17 |932648157     |  579 57 6 |  2  79   1 |  4  3   8 |756291438     +-----------+------------+-----------+     |  8   9  1 |  7   3   6 |  2  4   5 |891736245     |  2  67  5 |  9   8   4 |  36  1 37 |275984613     |  67  4  3 |  1   5   2 |  8  67  9 |643152879     +-----------+------------+-----------+     |  56 56  8 |  3   1   9 |  7   2  4 |568319724     |  4   2  7 |  8   6   5 |  13  9 13 |427865391     |  3   1  9 |  4   2   7 |  5   8  6 |319427586     +-----------+------------+-----------+`
champagne
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### Re: 2 skyscrapers in sequence not so good idea

(7)r5,32c29 : skyscraper with base row 5 en column 2 and 9 crossing top rows 3 and 2 respectively. Then candidate 7 at r2c1 can be eliminated.
What is the appropriate description?
Note that there is no problem anymore. The second skyscraper can not occur in this example/puzzle.

Edit: Again typos in red... Terrible sorry
Last edited by Hajime on Sun May 03, 2020 6:40 pm, edited 1 time in total.

Hajime

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### Re: 2 skyscrapers in sequence not so good idea

Hajime wrote:But did you search for skyscrapers? Not in the list of SE, but probably with a lower value than Bug+1

skyscraper.png (65.19 KiB) Viewed 729 times
yzfwsf

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### Re: 2 skyscrapers in sequence not so good idea

Hajime wrote:(7)r2,32c29 : skyscraper with base row 2 en column 2 and 9 crossing top rows 3 and 2 respectively. Then candidate 7 at r2c1 can be eliminated.
What is the appropriate description?
Note that there is no problem anymore. The second skyscraper can not occur in this example/puzzle.

I am not specialist of the notations, but I would have written this
skyscraper 7c2r43 + 7 c9r42 => <7r2c1>
champagne
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### Re: 2 skyscrapers in sequence not so good idea

Going through SE1.17.5:

3 Skyscrapers available from your starting PM that have different eliminations.
You can still arrive to these eliminations using other "2 strong link variations" (An additional 7) (All found by YZF_Sudoku)

BTW I would prefer using the term Empty rectangle to refer to a grouped strong link in a box. The variations include strong links in boxes but no grouped Strong links and therefore no empty rectangle.

You can eliminate 7 at r3c5 using 3 Strong links:
SE1.17.5 wrote:This technique relies on Conjugate Pairs. The value 7 in row 1, row 6 and column 2 forms 3 (regional) strong links or conjugate pairs with 2 sets of bridge cells in column 8 and block 4. The 3 strong links are joined therefore with these 2 weak links.
Any occurrence of the value 7 can be removed from any cells sharing a row, column or block with both start and end cells r1c5 and r3c2.
This technique is closely related to 2x2x1 Finned Sashimi Swordfish technique logic, Coloring technique or L1-Wing technique. It is a subcategory of X-Chains group of techniques which is in itself a subgroup of Alternating Inference Chains (AIC) group of techniques. These use strong links in Location inferred from 1 value (L1), therfore, L1-Wing can be used to describe this pattern.

tarek

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### Re: 2 skyscrapers in sequence not so good idea

I searched this forum and I think the correct notation for skyscraper is:
Skyscraper (7)r3c2=r5c2-r5c9=r2c9 => (-7) r2c1
In this case the weak link is also strong because there are only 2 candidates 7 in row 5, but that is not mandatory for skyscrapers.
Furthermore I like the (-7) better than <>7, because all the candidates are now between brackets.

Hajime

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### Re: 2 skyscrapers in sequence not so good idea

Hi yzfwsf,

Well, it's off topic, I see two BUG+1 moves in your "All possible steps". The "Bivalue Universal Grave + 1: => r3c1 <> 7" is wrong.

BTW, the full form of BUG is "Bivalue Universal Grave". Either it should be 7r3c1 or r3c1<>59.

R. Jamil
rjamil

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