Rarity #1

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Rarity #1

Postby m_b_metcalf » Sat Jun 11, 2022 8:30 am

In the Patterns Game, some ratings have only ever been played once. This is the first in a series of such puzzles, and is due to Patrice.

Mike

Code: Select all
 . . . . . 9 . 1 7
 . . . 3 . . 6 8 .
 . . . . 4 . 9 . 3
 . 2 . . . 7 1 . .
 . . 7 . . 1 . . .
 6 . . 4 8 . . . .
 . 7 3 9 . . 5 . 1
 9 6 . . . . . . .
 5 . 4 . . . 3 . .

.....9.17...3..68.....4.9.3.2...71....7..1...6..48.....739..5.196.......5.4...3..
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Re: Rarity #1

Postby pjb » Sat Jun 11, 2022 1:03 pm

After basics, two chains:
1. (2)r1c1 = (2)r7c1 - (2=4)r7c58 - (4=1)r8c3789 - (1=8)r9c2 - (8=5)r3c2 - (5=2)r3c8 => -2 r1c7, r3c3

(2s at r1c13 only ones in box => -2 r1c45.
2s at r23c6 only ones in box => -2 r6789c6.
2s at r6c789 only ones in column => -2 r5c789.)

2. (2=6)r7c5 - (6=4)r79c6 - (4=8)r7c158 - (8=2)r8c3, r9c2 - (2)r1c3 = (2)r1c1 => -2 r7c1; stte

Phil
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Re: Rarity #1

Postby Cenoman » Sat Jun 11, 2022 7:22 pm

Code: Select all
 +------------------------+--------------------------+---------------------------+
 |  2348   3458    2568   |  2568    256     9       |  24     1        7        |
 | *17     459     259    |  3      *17      25      |  6      8        245      |
 | *17     58      2568   | *17      4       2568    |  9      25       3        |
 +------------------------+--------------------------+---------------------------+
 |  348    2       589    |  56      3569    7       |  1      34569    45689    |
 |  348    34589   7      |  256     23569   1       |  248    234569   245689   |
 |  6      1359    159    |  4       8       235     |  27     23579    259      |
 +------------------------+--------------------------+---------------------------+
 |  28     7       3      |  9      b26      2468    |  5      246      1        |
 |  9      6       128    |  12578   12357   23458   |  2478   247      248      |
 |  5      1-8     4      |*a12678 *a1267   b268     |  3      2679     2689     |
 +------------------------+--------------------------+---------------------------+

DP(17)r2c15, r3c14, r9c45 using internals:
(8==2|6)r9c45 - (26=8)b8p29 => -8 r9c2; lclste
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Initial version
DP(17)r2c15, r3c14, r9c45 using externals:
(1)r9c2 == (7)r9c8 - (7=1268)b8p2789 => -8 r9c2; lclste
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