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An interesting one

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keith

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

Posted: Tue Aug 02, 2016 6:35 am Post subject: An interesting one

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

JC Van Hay

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

Posted: Tue Aug 02, 2016 9:29 am Post subject:

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

keith

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

Posted: Tue Aug 02, 2016 2:06 pm Post subject:

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

Marty R.

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

Posted: Wed Aug 03, 2016 5:13 pm Post subject:

Code:

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

dongrave

Joined: 06 Mar 2014
Posts: 572

Posted: Thu Aug 04, 2016 11:54 pm Post subject:

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

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