A new 39-clue minimal puzzle?

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A new 39-clue minimal puzzle?

Postby m_b_metcalf » Thu Apr 23, 2026 8:35 am

Code: Select all
 . . . . . . . . .
 . 1 2 . 3 4 5 6 7
 . 3 4 5 . 6 1 2 8
 . . 1 . 5 8 2 . 6
 . . 8 6 . . . . 1
 . 2 . . . 7 . 5 .
 . . 3 7 . 5 . . 2
 . 8 . . 6 . 7 . .
 2 . 7 . 8 3 6 1 5  A new 39-clue minimal puzzle?

..........12.34567.345.6128..1.582.6..86....1.2...7.5...37.5..2.8..6.7..2.7.83615


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Re: A new 39-clue minimal puzzle?

Postby Cenoman » Thu Apr 23, 2026 1:14 pm

New ? I can't say anything about it.
My solution (two steps)
Code: Select all
 +---------------------+---------------------+---------------------+
 |  5678   567    56   |  128*   127   12*   |  349   349    349   |
 |  89     1      2    |  89     3     4     |  5     6      7     |
 |  79     3      4    |  5      79    6     |  1     2      8     |
 +---------------------+---------------------+---------------------+
 |  347    479    1    |  3-49   5     8     |  2     3479   6     |
 |  3457   4579   8    |  6      249   29    |  349   3479   1     |
 |  346    2      69   | a1-349  49-1  7     |  8     5      349   |
 +---------------------+---------------------+---------------------+
 |  146    469    3    |  7     b149   5     |  49    8      2     |
 |  145    8      5-9  | C1249*  6     129*  |  7    D349   D349   |
 |  2     A49     7    | B49     8     3     |  6     1      5     |
 +---------------------+---------------------+---------------------+

1. UR(12)r18c46 using mixed external-internal
(1)r6c4 == (1)r7c5 => -1 r6c5; 2 placements (+1r6c4, +3r4c4)
2. ALS W-Wing:
(9=4)r9c2 - r9c4 = r8c4 - (4=39)r8c89 => -9 r8c3; ste
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Re: A new 39-clue minimal puzzle?

Postby denis_berthier » Fri Apr 24, 2026 3:48 am

m_b_metcalf wrote:A new 39-clue minimal puzzle?
..........12.34567.345.6128..1.582.6..86....1.2...7.5...37.5..2.8..6.7..2.7.83615


It's #1545 in Dobrichev's list of 2650 39s.
.
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