Alphabet Xoup: Z

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Alphabet Xoup: Z

Postby m_b_metcalf » Sat Mar 18, 2023 10:13 am

To finish, a bumper crop:

Code: Select all
 . . 1 2 3 4 5 6 7
 . . . . . . . . 4
 . . . . . . . 2 .
 . . . . . . 1 . .
 . . . . . 7 . . .
 . . . . 5 . . . .
 . . . 8 . . . . .
 . . 7 . . . . . .
 . . 3 1 7 9 6 4 8   fairly easy

 . . 1 2 3 4 5 6 7
 . . . . . . . . 8
 . . . . . . . 2 .
 . . . . . . 6 . .
 . . . . . 3 . . .
 . . . . 8 . . . .
 . . . 3 . . . . .
 . . 9 . . . . . 4
 . . 3 1 5 7 8 9 2   moderate

 . . 1 2 3 4 5 6 7
 . . . . . . . . 1
 . . . . . . . 2 .
 . . . . . . 8 . .
 . . . . . 7 . . .
 . . . . 6 . . . .
 . . . 5 . . . . .
 . . 7 . . . . . .
 . . 3 1 7 9 6 4 5   A big pearl

 . . 1 2 3 4 5 6 7
 . . . . . . . . 8
 . . . . . . . 9 .
 . . . . . . 6 . .
 . . . . . 7 . . .
 . . . . 2 . . . .
 . . . 4 . . . . .
 . . 7 . . . . . .
 . . 3 1 7 8 2 4 5   A bigger pearl

 . . 1 2 3 4 5 6 7
 . . . . . . . . 8
 . . . . . . . 2 .
 . . . . . . 6 . .
 . . . . . 7 . . .
 . . . . 8 . . . .
 . . . 5 . . . . .
 . . 7 . . . . . .
 . . 3 1 7 9 8 4 5  A huge pearl

 . . 1 2 3 4 5 6 7
 . . . . . . . . 8
 . . . . . . . 2 .
 . . . . . . 6 . .
 . . . . . 7 . . .
 . . . . 8 . . . .
 . . . 3 . . . . .
 . . 7 . . . . . .
 . . 3 1 4 9 8 7 5   very hard


THE END
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Re: Alphabet Xoup: Z

Postby Hajime » Sat Mar 18, 2023 7:23 pm

Very huge pearl
Code: Select all
..1234587........1.......2.......7.......5.......6.......6.......8........6179845   ED=9.9/9.9/2.8
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Re: Alphabet Xoup: Z

Postby Leren » Sat Mar 18, 2023 7:36 pm

Thanks to Mike for all the puzzles and Hajime for their help and extra puzzles.

Leren
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Re: Alphabet Xoup: Z

Postby Hajime » Sat Mar 18, 2023 9:33 pm

Leren wrote:Thanks to Mike for all the puzzles...

I agree, very nice sequence of puzzles.
Here some diamonds
Code: Select all
..2314597........8.......6.......6.......7.......8.......5.......7........3179845   ED=2.6/2.6/2.6   0.0/0.0
..9234567........9.......2.......6.......7.......8.......3.......7........3679845   ED=2.8/2.8/2.8   0.0/0.0

and a lot of pearls
Hidden Text: Show
Code: Select all
..4913567........3.......2.......6.......7.......8.......5.......7........3179845   ED=2.8/2.8/2.6
..8234567........1.......2.......6.......7.......5.......8.......7........1679854   ED=3.4/3.4/2.6
..8234567........8.......3.......6.......7.......9.......5.......7........3176845   ED=5.0/5.0/2.6
..8234597........8.......2.......6.......7.......9.......4.......7........3179845   ED=7.1/7.1/2.8
..1234587........1.......2.......9.......5.......8.......3.......7........3679854   ED=7.2/7.2/2.8
..1234967........1.......2.......6.......7.......8.......5.......7........6379154   ED=7.4/7.4/2.8
..2613587........3.......2.......6.......7.......8.......5.......7........3179845   ED=7.3/7.3/2.6
..8234597........3.......2.......6.......7.......9.......5.......7........3179845   ED=7.5/7.5/2.6
..1234567........3.......2.......1.......7.......9.......8.......7........3179845   ED=7.8/7.8/2.8
..1934567........1.......2.......7.......7.......8.......2.......9........3179245   ED=7.6/7.6/2.6
..8614537........8.......2.......6.......7.......6.......5.......7........3179845   ED=7.7/7.7/2.6
..1234957........3.......2.......6.......7.......8.......5.......7........3179245   ED=7.9/7.9/2.6
..8234567........3.......2.......9.......7.......6.......5.......7........3679854   ED=8.2/8.2/2.8
..1294537........1.......2.......7.......7.......8.......6.......9........3179645   ED=8.3/8.3/2.8
..1234967........1.......2.......3.......7.......9.......5.......8........3679854   ED=8.4/8.4/2.8
..1234597........1.......2.......6.......5.......6.......3.......7........3679854   ED=8.5/8.5/2.8
..8912537........8.......2.......6.......7.......9.......5.......7........3179845   ED=8.5/8.5/2.6
..1234587........4.......2.......6.......5.......8.......3.......7........3179845   ED=8.8/8.8/2.8
..1234567........1.......3.......2.......7.......9.......5.......8........3179845   ED=8.6/8.6/2.6
..1234587........6.......2.......3.......7.......8.......5.......7........3179845   ED=8.7/8.7/2.6
..1234597........3.......2.......6.......7.......8.......5.......7........3879154   ED=8.9/8.9/2.8
..1234587........1.......2.......6.......7.......9.......3.......7........3179845   ED=9.0/9.0/2.8
..9234567........9.......2.......6.......7.......5.......8.......7........3179845   ED=9.1/9.1/2.8
..1264587........4.......2.......6.......7.......8.......3.......7........3179845   ED=9.2/9.2/2.8
..1234587........1.......2.......3.......6.......8.......5.......7........2679854   ED=9.3/9.3/2.8
..1254367........1.......2.......7.......7.......9.......3.......8........3179845   ED=9.4/9.4/2.8
..1924567........1.......2.......6.......7.......3.......5.......7........3671854   ED=9.6/9.6/2.8
..1834567........8.......2.......6.......7.......9.......5.......7........5179843   ED=9.5/9.5/2.6
..1234587........1.......2.......7.......5.......6.......6.......8........6179845   ED=9.9/9.9/2.8
..1234568........9.......1.......6.......7.......8.......5.......7........3179842   ED=9.8/9.8/2.6
..1234567........9.......2.......9.......7.......1.......6.......8........3179842   ED=10.0/10.0/2.6
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Re: Alphabet Xoup: Z

Postby Leren » Sat Mar 18, 2023 11:46 pm

I tried to solve this pearl puzzle

..8234567........8.......3.......6.......7.......9.......5.......7........3176845 ED=5.0/5.0/2.6

and this is as far as I got, without recourse to Forcing chains.

Code: Select all
*-----------------------------------------------------------------------------------------*
| 19       19       8         | 2        3        4         | 5        6        7         |
| 234567   37       2456      | 679      156      159       | 1249     129      8         |
| 24567    24567    246       | 6789     158      1589      | 1249     3        1249      |
|-----------------------------+-----------------------------+-----------------------------|
| 123478   123478   1249      | 48       1245     1235      | 6        12789    12349     |
| 1234568  123456   12459     | 46       12468    7         | 12349    12589    12349     |
| 12345678 123456 7812456     | 346      9        128       | 12347    12578    1234      |
|-----------------------------+-----------------------------+-----------------------------|
| 1468     1468     146       | 5        248      2389      | 37       1279     12369     |
| 14568    14568    7         | 3489     24       2389      | 1239     129      12369     |
| 29       29       3         | 1        7        6         | 8        4        5         |
*-----------------------------------------------------------------------------------------*

Is there something short of forcing chains that I've missed ? The rating ED=5.0/5.0/2.6 would suggest that.

Leren
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Re: Alphabet Xoup: Z

Postby Hajime » Sun Mar 19, 2023 7:14 am

There are two "6" in the \diagonal at r3c3 and r5c5.
Every cell that see these 2 cells can eliminate the 6.
You got (somehow) (-6)r3c5 and (-6)r5c3
But you missed the (-6)r7c3 on the other diagonal
Besides basic methods only generalized intersections are needed.
The ED=5.0 is result of some Hidden/Naked Quad.
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Re: Alphabet Xoup: Z

Postby Leren » Sun Mar 19, 2023 7:39 pm

HI Hajime, well spotted !! Bug fixed and puzzle now solves with basics.

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