Challenge: find Sudoku with most consec. different tactics

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Challenge: find Sudoku with most consec. different tactics

Postby tso » Fri Oct 28, 2005 9:20 pm

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


Load this puzzle into Simple Sudoku and press F11 -- at one point it will find these eight tactics one right after the other:

1) Naked Single
2) Locked Candidates (1)
3) Locked Candidates (2)
4) Swordfish
5) Naked Pairs
6) Naked Triples
7) X-Wing
8) XY-Wing

Sadman Sudoku and Sudoku Susser find the same string of tactics (though reporting a hidden pair rather than a naked triple, making identical eliminations).

The challenge is to post a puzzle here, which when evaluated by any of these three solvers, includes the longest possible string of consecutive tactics, all of which are different.

(Simple Sudoku will not find forcing chains longer than an xy-wing and many mixed forcing chains will not be found by any of these solvers -- but if your puzzle includes a forcing chain -- or any other tactic beyond the scope of these solvers -- that is at the end of the sequence of tactics, it counts.)
tso
 
Posts: 798
Joined: 22 June 2005

Postby angusj » Sat Oct 29, 2005 12:41 am

Code: Select all
 *-----------*
 |...|7..|.2.|
 |.6.|..2|31.|
 |..9|.6.|..4|
 |---+---+---|
 |.7.|..6|1..|
 |9..|.4.|..8|
 |..1|3..|.5.|
 |---+---+---|
 |8..|.9.|4..|
 |.37|8..|.9.|
 |.9.|..3|...|
 *-----------*


Not quite consecutive, but has the most variety of required techniques (so far).

Edit: Here's another couple requiring many different techniques (though again not all consecutively):
Code: Select all
 *-----------*
 |8..|...|.59|
 |.5.|9.8|...|
 |3..|..5|.46|
 |---+---+---|
 |1..|.59|...|
 |.8.|...|.1.|
 |...|61.|..8|
 |---+---+---|
 |67.|3..|..5|
 |...|4.7|.9.|
 |49.|...|..2|
 *-----------*


Code: Select all
 *-----------*
 |6..|7..|.21|
 |...|3.5|...|
 |4..|...|.5.|
 |---+---+---|
 |...|2..|.96|
 |..2|.4.|7..|
 |85.|..9|...|
 |---+---+---|
 |.4.|...|..7|
 |...|4.6|...|
 |59.|..1|..2|
 *-----------*
angusj
 
Posts: 306
Joined: 12 June 2005

Postby tso » Sat Oct 29, 2005 5:24 pm

Good puzzles. Simple Sudoku solves the one I posted using only 9 tactics:

1) Hidden Single
2) Naked Single
3) Naked Pairs
4) Naked Triples
5) Locked Candidates (1) (twice)
6) Locked Candidates (2)
7) X-Wing
8) Swordfish
9) XY-Wing (twice)


The three you posted use 12, 10 and 12:

1) Hidden Single
2) Naked Single
3) Naked Pairs
4) Hidden Pairs
5) Naked Triples (four times)
6) Locked Candidates (1)
7) Locked Candidates (2)
8) X-Wing (twice)
9) Swordfish
10) Colors (twice)
11) Multi-colors
12) XY-Wing

1) Hidden Single
2) Naked Single
3) Hidden Pairs
4) Naked Triples
5) Naked Quads (twice)
6) Locked Candidates (1) (thrice)
7) Locked Candidates (2) (thrice)
8) X-Wing
9) Swordfish
10) Multi-colors

1) Hidden Single
2) Naked Single
3) Naked Pairs (thrice)
4) Hidden Pairs
5) Naked Triples (twice)
6) Naked Quads
7) Locked Candidates (1) (five times)
8) X-Wing
9) Swordfish
10) Colors (thrice)
11) Multi-colors
12) XY-Wing
tso
 
Posts: 798
Joined: 22 June 2005


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