Diagonal cross 5.6

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Diagonal cross 5.6

Postby denis_berthier » Fri Feb 26, 2021 6:34 am

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Diagonal cross 5.6

Here is the diagonal cross pattern:

Code: Select all
   +-------+-------+-------+
   ! . . X ! . . . ! X . . !
   ! . X . ! X . X ! . X . !
   ! X . . ! . X . ! . . X !
   +-------+-------+-------+
   ! . X . ! . . . ! . X . !
   ! . . X ! . . . ! X . . !
   ! . X . ! . . . ! . X . !
   +-------+-------+-------+
   ! X . . ! . X . ! . . X !
   ! . X . ! X . X ! . X . !
   ! . . X ! . . . ! X . . !
   +-------+-------+-------+

..X...X...X.X.X.X.X...X...X.X.....X...X...X...X.....X.X...X...X.X.X.X.X...X...X..
24 givens

with minlex form (computed with Mathimagics software):
.....X..X.....X..X....X..X.....X..X...XX..X..XX...X..X....X..X...XX..X..XX...X..X


Puzzles with this very symmetric pattern must have been proposed already, but I couldn't find it in the Patterns Game (it may have too much symmetry).

Anyway, here is a rather easy puzzle with this pattern:
Code: Select all
   +-------+-------+-------+
   ! . . 5 ! . . . ! 2 . . !
   ! . 8 . ! 6 . 5 ! . 3 . !
   ! 3 . . ! . 1 . ! . . 9 !
   +-------+-------+-------+
   ! . 9 . ! . . . ! . 1 . !
   ! . . 4 ! . . . ! 7 . . !
   ! . 7 . ! . . . ! . 8 . !
   +-------+-------+-------+
   ! 4 . . ! . 5 . ! . . 7 !
   ! . 1 . ! 2 . 8 ! . 9 . !
   ! . . 2 ! . . . ! 6 . . !
   +-------+-------+-------+

..5...2...8.6.5.3.3...1...9.9.....1...4...7...7.....8.4...5...7.1.2.8.9...2...6.. #   298 FNTY C24.m/S8.f
24 givens, SER = 5.6


For a much harder puzzle with the same pattern, see here: http://forum.enjoysudoku.com/diagonal-cross-9-1-t38789.html
denis_berthier
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Joined: 19 June 2007
Location: Paris

Re: Diagonal cross 5.6

Postby Leren » Fri Feb 26, 2021 7:42 am

Very easy. Bug+1 => r5c4 = 8; stte. Leren
Leren
 
Posts: 5044
Joined: 03 June 2012

Re: Diagonal cross 5.6

Postby denis_berthier » Fri Feb 26, 2021 9:49 am

Leren wrote:Very easy. Bug+1 => r5c4 = 8; stte. Leren

May be too easy (while the 9.1 is very hard). So, I proposed another puzzle at an intermediate level.
denis_berthier
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Posts: 3972
Joined: 19 June 2007
Location: Paris


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