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In Praise of Danny Jones

 
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Mogulmeister



Joined: 03 May 2007
Posts: 1151
PostPosted: Sun Jul 11, 2021 8:24 am    Post subject: In Praise of Danny Jones Reply with quote
Here is one of our very own daj puzzles. Lots of possibilities and techniques here.
Code:

+---------------+-----------------+---------------+
| 5   8   3     | 126   4    26   | 16   7   9    |
| 1   7   6     | 3     9    5    | 2    8   4    |
| 2   9   4     | 167   17   8    | 156  3   156  |
+---------------+-----------------+---------------+
| 37  6   2578  | 1278  1237 9    | 1457 45  157  |
| 4   25  2578  | 1278  6    27   | 157  9   3    |
| 37  1   9     | 5     37   4    | 8    6   2    |
+---------------+-----------------+---------------+
| 679 25  257   | 24679 8    1    | 3    245 567  |
| 679 3   1     | 24679 27   267  | 4567 245 8    |
| 8   4   27    | 267   5    3    | 9    1   67   |
+---------------+-----------------+---------------+
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Mogulmeister



Joined: 03 May 2007
Posts: 1151
PostPosted: Sun Jul 11, 2021 8:26 am    Post subject: Reply with quote
I'd like to wish you all a Placido Domingo (Quiet Sunday) but with England v Italy tonight, I'm not sure that's possible. Ciao.
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ZeroAssoluto



Joined: 05 Feb 2017
Posts: 933
Location: Rimini, Italy
PostPosted: Sun Jul 11, 2021 2:04 pm    Post subject: Reply with quote
Hi everyone,

Code:

+-----------+---------------+-------------+
| 5  8  3   | 126  4    26  | 16   7   9  |
| 1  7  6   | 3    9    5   | 2    8   4  |
| 2  9  4   | 167  17   8   | 156  3   15 |
+-----------+---------------+-------------+
| 37 6  258 | 1278 1237 9   | 1457 45  15 |
| 4  25 258 | 1278 6    27  | 157  9   3  |
| 37 1  9   | 5    37   4   | 8    6   2  |
+-----------+---------------+-------------+
| 69 25 257 | 49   8    1   | 3    24  67 |
| 69 3  1   | 49   27   267 | 45   245 8  |
| 8  4  27  | 26   5    3   | 9    1   67 |
+-----------+---------------+-------------+

Play this puzzle online at the Daily Sudoku site

AIC with number 2 in r1c4
r1c4=2 -2 and r1c6,r45c4
ric4=-2 r1c6=2 r8c6=6 r8c1=9 r8c4=4 r4c7=4 r5c7=7 r5c6=2 and -2 in r1c6,r45c4

Ciao Gianni
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Clement



Joined: 24 Apr 2006
Posts: 1111
Location: Dar es Salaam Tanzania
PostPosted: Sun Jul 11, 2021 4:30 pm    Post subject: In Praise of Danny Jones Reply with quote
Code:

+-------------------+-----------------------+---------------------+
| 5      8      3   | 126      4        26  | 16       7       9  |
| 1      7      6   | 3        9        5   | 2        8       4  |
| 2      9      4   | 167      17       8   | 156      3       15 |
+-------------------+-----------------------+---------------------+
| 37     6      258 | 1278    b1237     9   |e1457    f45      15 |
| 4      25     258 | 1278     6       c27  |d157      9       3  |
| 37     1      9   | 5        37       4   | 8        6       2  |
+-------------------+-----------------------+---------------------+
| 69     25     257 | 49       8        1   | 3        24      67 |
| 69     3      1   | 49     ha27      h267 | 45      g245     8  |
| 8      4      27  | 6-2      5        3   | 9        1       67 |
+-------------------+-----------------------+---------------------+

(2)r8c5 = r4c5 – (2=7)r5c6 – r5c7 = (7-4)r4c7 = (4-5)r4c8 = (5-2)r8c8 = (2)r8c56 => - 2r9c4; stte
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dongrave



Joined: 06 Mar 2014
Posts: 568
PostPosted: Sun Jul 11, 2021 4:50 pm    Post subject: Reply with quote
I used a similar chain. (2-7)r8c5 = r8c6 - (7=2)r5c6 - r5c2 = r7c2 - r9c3 = r9c4 contradiction => r8c5 <> 2; stte.
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immpy



Joined: 06 May 2017
Posts: 571
PostPosted: Sun Jul 11, 2021 5:58 pm    Post subject: Reply with quote
Without resorting to chains, there is a nice Hidden Rectangle of 45 r48c78 which renders r4c8<>5.

cheers...immp
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immpy



Joined: 06 May 2017
Posts: 571
PostPosted: Sun Jul 11, 2021 6:05 pm    Post subject: Reply with quote
That may or may not be a Type 6 UR, but I have trouble with the parameters of the higher UR types; the Hidden Rectangle solidifies the proper elimination(s), if any can be made.
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TomC



Joined: 30 Oct 2020
Posts: 358
Location: Wales
PostPosted: Sun Jul 11, 2021 6:39 pm    Post subject: Reply with quote
If r5c6=2 then r4c3=2, r9c4=2 giving no 2's in box 2
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Mogulmeister



Joined: 03 May 2007
Posts: 1151
PostPosted: Sun Jul 11, 2021 11:08 pm    Post subject: Reply with quote
immpy wrote:
Without resorting to chains, there is a nice Hidden Rectangle of 45 r48c78 which renders r4c8<>5.

cheers...immp


Very neat!
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Mogulmeister



Joined: 03 May 2007
Posts: 1151
PostPosted: Mon Jul 12, 2021 3:03 pm    Post subject: Swordfish Reply with quote
There is also a swordfish (also on 2's) in r159c346 which has a fin in r5c2. So whether the fin is true or the swordfish is true r4c3<>2. btstte!
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immpy



Joined: 06 May 2017
Posts: 571
PostPosted: Mon Jul 12, 2021 4:59 pm    Post subject: Reply with quote
Nice detection of the Finned Swordfish! That works well.
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