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An interesting one

 
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Tue Aug 02, 2016 6:35 am    Post subject: An interesting one Reply with quote

Found in a kappapuzzles book:
Code:
+-------+-------+-------+
| 7 . . | 2 3 . | . . . |
| . . . | . . . | 7 3 . |
| . 1 3 | . . . | . . 4 |
+-------+-------+-------+
| . . . | . 9 . | 8 . 2 |
| 4 . . | 5 . 1 | . . 3 |
| 6 . 8 | . 7 . | . . . |
+-------+-------+-------+
| 2 . . | . . . | 6 1 . |
| . 3 7 | . . . | . . . |
| . . . | . 2 4 | . . 9 |
+-------+-------+-------+

Keith
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JC Van Hay



Joined: 13 Jun 2010
Posts: 494
Location: Charleroi, Belgium

PostPosted: Tue Aug 02, 2016 9:29 am    Post subject: Reply with quote

27 singles; NP(58)B9
Code:
+-----------------------+----------------+-----------------------+
| 7       46(8)  456(9) | 2     3  59(8) | 15    59(8)   16-5(8) |
| 589     2      56(9)  | 1     4  589   | 7     3       6-58    |
| -9(58)  1      3      | (89)  6  7     | 2(5)  29(58)  4       |
+-----------------------+----------------+-----------------------+
| 3       5      1      | 4     9  6     | 8     7       2       |
| 4       7      2      | 5     8  1     | 9     6       3       |
| 6       9      8      | 3     7  2     | 145   45      15      |
+-----------------------+----------------+-----------------------+
| 2       4(8)   4(9)   | (89)  5  3     | 6     1       7       |
| 9(58)   3      7      | 6     1  9(8)  | 24    24      (58)    |
| 1       68     56     | 7     2  4     | 3     58      9       |
+-----------------------+----------------+-----------------------+
XWings{5R38, 9C34} -> -{5r12c9, 9r3c1}
NoJellyfish{8R1378} : (8){r1c26, r3c14, r7c24, r8c16} has no solution -> (8)[r1c89==r3c8==r8c9]-8r2c9

r2c9=6
Code:
+--------------------+---------------+---------------------+
| 7      46(8)  4569 | 2     3  589  | (15)  589      (18) |
| 589    2      59   | 1     4  589  | 7     3        6    |
| 58     1      3    | (89)  6  7    | (25)  8-25(9)  4    |
+--------------------+---------------+---------------------+
| 3      5      1    | 4     9  6    | 8     7        2    |
| 4      7      2    | 5     8  1    | 9     6        3    |
| 6      9      8    | 3     7  2    | 145   45       15   |
+--------------------+---------------+---------------------+
| 2      4(8)   49   | 9(8)  5  3    | 6     1        7    |
| 59(8)  3      7    | 6     1  9(8) | 24    24       5(8) |
| 1      6(8)   56   | 7     2  4    | 3     58       9    |
+--------------------+---------------+---------------------+
[9r3c8=(9-8)r3c4=8r7c4-8r7c2.r8c6=Kite(8r19c2, 8r8c19)-(8=125)r1c79.r3c7]-(25)r3c8; stte
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Tue Aug 02, 2016 2:06 pm    Post subject: Reply with quote

Part of the joy of solving by hand is that you occasionally find solutions no solver will. After basics:
Code:
+----------------+----------------+----------------+
| 7    468  4569 | 2    3    589  | 15   589  1568 |
| 589  2    569  | 1    4    589  | 7    3    568  |
| 589  1    3    | 89   6    7    | 25   2589 4    |
+----------------+----------------+----------------+
| 3    5    1    | 4    9    6    | 8    7    2    |
| 4    7    2    | 5    8    1    | 9    6    3    |
| 6    9    8    | 3    7    2    | 145  45   15   |
+----------------+----------------+----------------+
| 2    48   49   | 89   5    3    | 6    1    7    |
| 589  3    7    | 6    1    89   | 24   24   58   |
| 1    68   56   | 7    2    4    | 3    58   9    |
+----------------+----------------+----------------+

Note the deadly pattern 24, 45, 25 in C78. Either R6C7 is 1, or R3C8 is 89.

If R6C7 is 1, R13C7 are 5, 2. So R3C8 is 89. This (R3C8 = 89) solves the puzzle. (In the solution, R6C7 is not 1.)

Keith
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Wed Aug 03, 2016 5:13 pm    Post subject: Reply with quote

Code:
+----------------+----------------+----------------+
| 7    468  4569 | 2    3    589  | 15   589  1568 |
| 589  2    569  | 1    4    589  | 7    3    568  |
| 589  1    3    | 89   6    7    | 25   2589 4    |
+----------------+----------------+----------------+
| 3    5    1    | 4    9    6    | 8    7    2    |
| 4    7    2    | 5    8    1    | 9    6    3    |
| 6    9    8    | 3    7    2    | 145  45   15   |
+----------------+----------------+----------------+
| 2    48   49   | 89   5    3    | 6    1    7    |
| 589  3    7    | 6    1    89   | 24   24   58   |
| 1    68   56   | 7    2    4    | 3    58   9    |
+----------------+----------------+----------------+


I struggled with this one. Using the 25-45-24 DP, I found some common outcomes from 1 in r6c1 and external 5s in r1c789 and r2c9. However, whatever I found didn't take me far enough and I was left with the position below, where the same DP => r3c8=9.

Code:

+------------+----------+-----------+
| 7   48 469 | 2  3 589 | 1  59  68 |
| 589 2  69  | 1  4 589 | 7  3   68 |
| 589 1  3   | 89 6 7   | 25 259 4  |
+------------+----------+-----------+
| 3   5  1   | 4  9 6   | 8  7   2  |
| 4   7  2   | 5  8 1   | 9  6   3  |
| 6   9  8   | 3  7 2   | 45 45  1  |
+------------+----------+-----------+
| 2   48 49  | 89 5 3   | 6  1   7  |
| 89  3  7   | 6  1 89  | 24 24  5  |
| 1   6  5   | 7  2 4   | 3  8   9  |
+------------+----------+-----------+

Play this puzzle online at the Daily Sudoku site
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dongrave



Joined: 06 Mar 2014
Posts: 568

PostPosted: Thu Aug 04, 2016 11:54 pm    Post subject: Reply with quote

I didn't like that one at all. That one was way too hard for me. ugh.
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