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VH+ 031122

 
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immpy



Joined: 06 May 2017
Posts: 571

PostPosted: Fri Mar 11, 2022 7:49 pm    Post subject: VH+ 031122 Reply with quote

Hello all, enjoy the puzzle.

Code:

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

Play this puzzle online at the Daily Sudoku site

cheers...immp
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dongrave



Joined: 06 Mar 2014
Posts: 568

PostPosted: Sun Mar 13, 2022 1:13 am    Post subject: Reply with quote

Thanks for the puzzle immp! I enjoyed that! As usual, I used pencil and and paper to solve it - and ended up with a crazy chain (as usual).

After basics:
Code:
+------------------+------------------+----------------+
| 1    5     e67   | 46    3    9     |f47    8    2   |
| 9   d46    m68   | 2468  7   L28    | 1     5    3   |
| 234  234    2378 | 1     48   5     | 479  g49   6   |
+------------------+------------------+----------------+
| 237  1237   9    | 2478  5    12378 | 6    i234  48  |
| 5    8      236  | 249   469 k23    |j349   7    1   |
| 237  12367  4    | 2789  689  12378 | 5    i239  89  |
+------------------+------------------+----------------+
|b247 b247    5    | 3     89    6    | 2489  1   a4*9 |
| 6   c34     1    | 789   2     78   | 3489 h349  5   |
| 8    9      23   | 5     1     4    | 23    6    7   |
+------------------+------------------+----------------+

4*r7c9-r7c12=r8c2-(4=6)r2c2-(6=7)r1c3-(7=4)r1c7-(4=9)r3c8-(4*9=3)r8c8-r46c8=r5c7-(3=2)r5c6-(2=8)r2c6-(8=6)r2c3 contradiction (i.e. 6r2c23) => r7c9 <> 4; stte.


Last edited by dongrave on Sun Mar 13, 2022 5:44 pm; edited 1 time in total
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TomC



Joined: 30 Oct 2020
Posts: 358
Location: Wales

PostPosted: Sun Mar 13, 2022 8:41 am    Post subject: Reply with quote

After basics, I used a skyscraper on <4> in rows 1 and 4 to give -4 in r5c7

This got me to here
Code:

+-----------------+----------------+-------------+
| 1    5     67   | 46   3   9     | 47   8   2  |
| 9    46    68   | 2468 7   28g   | 1    5   3  |
| 2347 2347  2378 | 1    4-8 5     | 479  49  6  |
+-----------------+----------------+-------------+
| 237  1237  9    | 2478 5   12378 | 6   234 48c |
| 5    8     236  | 249  469 23f   | 39e  7   1  |
| 237  12367 4    | 2789 689 12378 | 5   239 89d |
+-----------------+----------------+-------------+
| 247  247   5    | 3    89a  6    | 2489 1  49b |
| 6    34    1    | 789  2    78   | 3489 349 5  |
| 8    9     23   | 5    1    4    | 23   6   7  |
+-----------------+----------------+-------------+


An XY chain a-g gives pincers on <8> in a + g leads to -8 r3c5 to solve
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Mon Mar 14, 2022 10:46 am    Post subject: Reply with quote



Overlapping ALS xz

Set A (green) {2,4,7,8,9} + yellow square
Set B (yellow) {4,9}

Restricted common is 4
Common candidate (red) is 9 and is eliminated as it is seen by green and yellow.
This then solves.
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Clement



Joined: 24 Apr 2006
Posts: 1111
Location: Dar es Salaam Tanzania

PostPosted: Wed Mar 16, 2022 3:33 pm    Post subject: Reply with quote

Two Steps
Code:

+------------------------+------------------------+---------------------+
| 1       5         67   | 46       3       9     | 47       8       2  |
| 9       46        68   | 2468     7       28    | 1        5       3  |
|a234     23-4      2378 | 1       h48      5     | 79-4     9-4     6  |
+------------------------+------------------------+---------------------+
| 237     1237      9    | 2478     5       12378 | 6        234     48 |
| 5       8         236  | 2469     469     23    | 349      7       1  |
| 237     12367     4    | 2789     689     12378 | 5        239     89 |
+------------------------+------------------------+---------------------+
|b247     247       5    | 3       g89      6     |f2489     1       49 |
| 6      c34        1    | 789      2       78    | 3489     349     5  |
| 8       9        d23   | 5        1       4     |e23       6       7  |
+------------------------+------------------------+---------------------+

Step 1: (4)r3c1 = r7c1 – (4=3)r8c2 – (3=2)r9c3 – r9c7 = (2-8)r7c7 = r7c5 – (8=4)r3c5 => - 4r3c278
Code:

+-------------------------+--------------------------+----------------------+
| 1        5          7   | 6         3        9     | 4        8        2  |
| 9       a46        a68  | 248       7       a28    | 1        5        3  |
| 234      234        238 | 1         48       5     | 7        9        6  |
+-------------------------+--------------------------+----------------------+
| 237      1237       9   | 278       5        12378 | 6        234      48 |
| 5        8          236 | 249       469     b23    |c39       7        1  |
| 237      12367      4   | 2789      689      12378 | 5        23       89 |
+-------------------------+--------------------------+----------------------+
| 247      247        5   | 3         89       6     | 289      1        49 |
| 6        3-4        1   | 789       2        78    | 89      e34       5  |
| 8        9          23  | 5         1        4     |d23       6        7  |
+-------------------------+--------------------------+----------------------+

Step 2: (4=682)r2c236 – (2=3)r5c6 – r5c7 = r9c7 – (3=4)r8c8 => - 4r8c2; stte
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