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VH Oct 21

 
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Mogulmeister



Joined: 03 May 2007
Posts: 963

PostPosted: Thu Oct 21, 2021 9:09 am    Post subject: VH Oct 21 Reply with quote

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



Joined: 05 Feb 2017
Posts: 641
Location: Rimini, Italy

PostPosted: Thu Oct 21, 2021 9:36 am    Post subject: Reply with quote

Hi everyone,

Code:

+----------+--------+---------------+
| 8  5  6  | 4 3 1  | 279  279  29  |
| 34 7  2  | 5 9 6  | 348  48   1   |
| 9  34 1  | 2 7 8  | 34   5    6   |
+----------+--------+---------------+
| 2  8  7  | 1 4 9  | 6    3    5   |
| 35 9  35 | 6 8 27 | 247  1    24  |
| 1  6  4  | 3 5 27 | 2789 2789 289 |
+----------+--------+---------------+
| 45 2  59 | 8 1 3  | 49   6    7   |
| 7  34 38 | 9 6 5  | 1    248  248 |
| 6  1  89 | 7 2 4  | 5    89   3   |
+----------+--------+---------------+

Play this puzzle online at the Daily Sudoku site

There are many solutions, here are a few

Quote:
W-Wing
3,4 in r2c1,r3c7 SL with number 4 in r7c17 and -3 in r2c7,r3c2
3,4 in r3c7,r8c2 SL with number 4 in r7c17 and -3 in r3c2
or
XY-Wing 4,8,9 in r29c8,r7c7 and -4 in r23c7,r8c8
or Skyscraper
with number 4 in r38c2,r28c8 and -4 in r2c1,r3c7
with number 4 in r3c27,r7c17 and -4 in r2c1,r8c2
with number 4 in r27c1,r28c8 and -4 in r7c7,r8c2
or Color
color1 in r2c1,r3c7,r7c7,r8c2
color2 in r3c2,r7c1
and -4 in color1


Ciao Gianni
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Mogulmeister



Joined: 03 May 2007
Posts: 963

PostPosted: Thu Oct 21, 2021 9:44 am    Post subject: Reply with quote

A journey through basics is quite interesting.

Code:
+--------------+--------------+----------------+
| 8   5   6    | 4   3   1    | 279  279  29   |
| 34  7   2    | 5   9   6    | 348  48   1    |
| 9   34  1    | 2   7   8    | 34   5    6    |
+--------------+--------------+----------------+
| 2   8   7    | 1   4   9    | 6    3    5    |
| 35  9   35   | 6   8   27   | 247  1    24   |
| 1   6   4    | 3   5   27   | 2789 2789 289  |
+--------------+--------------+----------------+
| 45  2   59   | 8   1   3    | 49   6    7    |
| 7   34  38   | 9   6   5    | 1    248  248  |
| 6   1   89   | 7   2   4    | 5    89   3    |
+--------------+--------------+----------------+


Quote:
R29c8, r7c7 has a <489> XY wing which means r23c7 and r8c8 <> 4
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Mogulmeister



Joined: 03 May 2007
Posts: 963

PostPosted: Thu Oct 21, 2021 9:46 am    Post subject: Reply with quote

See what happens when you go away and make a coffee ? Laughing
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Mogulmeister



Joined: 03 May 2007
Posts: 963

PostPosted: Thu Oct 21, 2021 11:52 am    Post subject: Reply with quote

A slightly different take:

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Mogulmeister



Joined: 03 May 2007
Posts: 963

PostPosted: Thu Oct 21, 2021 12:08 pm    Post subject: Reply with quote

Look at the purple cell <89> at r9c8

If it is 8 then r2c8 < > 8

If it is 9 then follow the green squares and r2c7 = 8 and again r2c8 < > 8

You can look at this as either a WXYZ wing - four numbers in four cells 3,4,8,9. That's the three green cells and the purple one.

Equally it can be viewed as an ALS xz pattern

Set A is green and contains {3,4,8,9}
Set B is purple and contains {8,9}

The restricted common is digit 9 in r7c7 and r9c8
The common candidate is digit 8 in r2c8 (red) which is eliminated because it can see both 8's in A & B.
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