Antidote (Single-Diagonal Sudoku)

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Antidote (Single-Diagonal Sudoku)

Postby shye » Wed Nov 09, 2022 7:40 pm

Code: Select all
+-------+-------+-------+
| 8 . 3 | 7 9 . | . . ̷ |
| . 2 . | . 8 . | 9 ̷ . |
| 1 . . | . . . | ̷ 8 . |
+-------+-------+-------+
| 4 . . | . . ̷ | . . . |
| 5 7 . | . ̷ . | . 9 8 |
| . . . | ̷ . . | . . 6 |
+-------+-------+-------+
| . 4 ̷ | . . . | . . 3 |
| . ̷ 5 | . 6 . | . 2 . |
| ̷ . . | . 4 5 | 1 . . |
+-------+-------+-------+
8.379.....2..8.9..1......8.4........57.....98........6.4......3..5.6..2.....451..

each row, column, box and the indicated diagonal must contain the digits 1 through 9
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Re: Antidote (Single-Diagonal Sudoku)

Postby Leren » Thu Nov 10, 2022 3:18 am

Code: Select all
*-----------------------*
| 8 5 3 | 7 9 2 | 6 1 4 |
| 6 2 7 | 4 8 1 | 9 3 5 |
| 1 9 4 | 3 5 6 | 7 8 2 |
|-------+-------+-------|
| 4 6 2 | 9 3 8 | 5 7 1 |
| 5 7 1 | 6 2 4 | 3 9 8 |
| 3 8 9 | 5 1 7 | 2 4 6 |
|-------+-------+-------|
| 2 4 6 | 1 7 9 | 8 5 3 |
| 7 1 5 | 8 6 3 | 4 2 9 |
| 9 3 8 | 2 4 5 | 1 6 7 |
*-----------------------*

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Re: Antidote (Single-Diagonal Sudoku)

Postby Leren » Thu Nov 10, 2022 8:21 am

Withdrawn. Thanks 1to9only for spotting my blunder.

Leren
Last edited by Leren on Thu Nov 10, 2022 9:21 am, edited 2 times in total.
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Postby 1to9only » Thu Nov 10, 2022 8:52 am

Leren wrote:
Code: Select all
*-----------*
|8.3|7..|...|
|.2.|.8.|9..|
|1..|.9.|28.|
|---+---+---|
|...|.1.|...|
|57.|...|..8|
|...|...|..6|
|---+---+---|
|.4.|..1|..3|
|..5|.6.|.2.|
|...|.45|1..|
*-----------*
8.37......2..8.9..1...9.28.....1....57......8........6.4...1..3..5.6..2.....451..

each row, column, box and the main (top left to bottom right) diagonal must contain the digits 1 through 9.

Leren

r2c2=2 and r8c8=2, the value 2 appears more than once in the same antidiagonal(\).
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Postby 1to9only » Thu Nov 10, 2022 8:56 am

Code: Select all
8.379.....2..8.9..1......8.4........57.....98........6.4......3..5.6..2.....451.. [/] ED=7.2/2.6/2.6
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Re: Antidote (Single-Diagonal Sudoku)

Postby Leren » Thu Nov 10, 2022 7:55 pm

Let's see if I've fixed my blunder. For this puzzle each row, column, box and the main diagonal (top left to bottom right) must contain the digits 1 through 9. Perhaps this should be called Maindote.

Code: Select all
*-----------*
|..3|...|...|
|...|.8.|9.1|
|1.7|..3|.8.|
|---+---+---|
|4..|...|...|
|57.|...|.98|
|...|...|..6|
|---+---+---|
|74.|...|..3|
|..5|.6.|.2.|
|...|.45|1..|
*-----------*
..3..........8.9.11.7..3.8.4........57.....98........674......3..5.6..2.....451..

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Postby 1to9only » Thu Nov 10, 2022 9:57 pm

Code: Select all
..3..........8.9.11.7..3.8.4........57.....98........674......3..5.6..2.....451.. [\] ED=7.2/1.2/1.2

All good.
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Re: Antidote (Single-Diagonal Sudoku)

Postby shye » Fri Nov 11, 2022 12:49 am

apologies for the rules being unclear, i figured the grid image would be ok

seeing as no-one has posted a deduction yet, i might as well share this new version of the puzzle i made that should be a little tighter

Code: Select all
+-------+-------+-------+
| 8 . 3 | 7 6 . | . . ̷ |
| . 2 . | . . . | 6 ̷ . |
| 1 . . | 5 . . | ̷ 7 . |
+-------+-------+-------+
| 5 . 8 | . . ̷ | . . . |
| 9 . . | . ̷ . | . . 7 |
| . . . | ̷ . . | 4 . 6 |
+-------+-------+-------+
| . 8 ̷ | . . 9 | . . 3 |
| . ̷ 9 | . . . | . 2 . |
| ̷ . . | . 8 4 | 1 . . |
+-------+-------+-------+
8.376.....2....6..1..5...7.5.8......9.......7......4.6.8...9..3..9....2.....841..
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Re: Antidote (Single-Diagonal Sudoku)

Postby jovi_al01 » Fri Nov 11, 2022 1:25 am

If r9c9 == 9, the clues in the grid would be diagonally symmetric, implying via uniqueness that the solution must be also, but the additional restriction on the positive diagonal prevents this as a possibility.
so, -9r9c9, and the puzzle is reduced to basics.
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Re: Antidote (Single-Diagonal Sudoku)

Postby shye » Fri Nov 11, 2022 12:01 pm

jovi_al01 wrote:If r9c9 == 9, the clues in the grid would be diagonally symmetric, implying via uniqueness that the solution must be also, but the additional restriction on the positive diagonal prevents this as a possibility.
so, -9r9c9, and the puzzle is reduced to basics.

this was what i was aiming for, thanks for solving!
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Re: Antidote (Single-Diagonal Sudoku)

Postby m_b_metcalf » Sun Nov 13, 2022 6:05 pm

I'd be grateful for comments on this one (first attempt may be faulty):
Code: Select all
 \ . . . . . . . .
 . \ . . . . . . .
 . . \ 8 . . 6 . .
 . . . \ . . . . .
 . . . . \ . 4 3 .
 . . 6 1 3 \ 9 2 .
 . . . . 7 . \ . 6
 1 . 5 . . 3 . \ 7
 . 7 . . 4 . 3 9 \ 


Thanks,

Mike
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Re: Antidote (Single-Diagonal Sudoku)

Postby Hajime » Sun Nov 13, 2022 6:58 pm

m_b_metcalf wrote:I'd be grateful for comments on this one (first attempt may be faulty):


Solved with a nasty TUVWXYZ Wing
351467289862319574497852613583924761219786435746135928934278156125693847678541392
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Postby 1to9only » Sun Nov 13, 2022 7:06 pm

Code: Select all
.....................8..6.................43...613.92.....7...61.5..3..7.7..4.39. [\] ED=7.1/1.2/1.2
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Re: Antidote (Single-Diagonal Sudoku)

Postby Leren » Sun Nov 13, 2022 9:21 pm

Code: Select all
*-----------*
|.1.|...|...|
|...|.8.|...|
|.5.|...|...|
|---+---+---|
|...|.7.|8..|
|4..|...|35.|
|.3.|...|...|
|---+---+---|
|3..|94.|6..|
|9..|23.|..1|
|.76|...|...|
*-----------*
.1...........8.....5...........7.8..4.....35..3.......3..94.6..9..23...1.76......

Another effort from me. The diagonal is / the Anti-Diagonal.

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Re: Antidote (Single-Diagonal Sudoku)

Postby Hajime » Mon Nov 14, 2022 10:14 am

Needed an X chain of length 4 (SER=4.6)
714629538629385174853714962562473819498162357137598246381947625945236781276851493
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