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Set N Puzzle 22 -- VH

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Wed Feb 04, 2009 9:11 pm    Post subject: Set N Puzzle 22 -- VH Reply with quote
Code:
 +-----------------------+
 | 2 . . | 1 . . | . 3 7 |
 | . 9 . | 7 . . | 1 . 5 |
 | . . 1 | . . . | . 6 . |
 |-------+-------+-------|
 | 9 2 . | 3 4 1 | 7 5 6 |
 | . . . | 2 . . | . . . |
 | . . . | 9 . 5 | . 1 . |
 |-------+-------+-------|
 | . 6 . | 4 . . | . 7 . |
 | 1 . 2 | 5 . 3 | 6 4 . |
 | 4 5 . | 6 . . | . . 1 |
 +-----------------------+

Play this puzzle online at the Daily Sudoku site
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wapati



Joined: 10 Jun 2008
Posts: 472
Location: Brampton, Ontario, Canada.
PostPosted: Sat Feb 07, 2009 5:02 pm    Post subject: Reply with quote
This is harder than I expected from 35 clues, and yet only VH.

Sorry, I was bored. Embarassed
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Sat Feb 07, 2009 6:49 pm    Post subject: Reply with quote
wapati wrote:
This is harder than I expected from 35 clues, and yet only VH.

My puzzle generator had the following (first three) constraints:

Code:
1) Unique Solution -- clues are removed from a filled/solution grid
2) \-diagonal symmetry
3) Must be solvable with my VH techniques (or less)

It found this puzzle -- which met all of my constraints.

Code:
 +-----------------------+
 | 2 . . | 1 . . | . 3 7 |
 | . 9 . | 7 . . | 1 . 5 |
 | . . 1 | . . . | . 6 . |
 |-------+-------+-------|
 | 9 2 . | 3 4 1 | 7 5 6 |
 | . . . | 2 . . | . . . |
 | . . . | 9 . 5 | . 1 . |
 |-------+-------+-------|
 | . 6 . | 4 . . | . 7 . |
 | 1 . 2 | 5 . 3 | 6 4 . |
 | 4 5 . | 6 . . | . . 1 |
 +-----------------------+   # VH w/35 clues

If you disregard constraint (3) and continue to remove clues from this puzzle, then you get:

Code:
 +-----------------------+
 | 2 . . | 1 . . | . 3 7 |
 | . 9 . | 7 . . | 1 . 5 |
 | . . 1 | . . . | . 6 . |
 |-------+-------+-------|
 | 9 2 . | . 4 1 | 7 5 6 |
 | . . . | 2 . . | . . . |
 | . . . | 9 . 5 | . 1 . |
 |-------+-------+-------|
 | . 6 . | 4 . . | . 7 . |
 | 1 . 2 | 5 . 3 | 6 4 . |
 | 4 5 . | 6 . . | . . 1 |
 +-----------------------+   # Advanced w/34 clues

Code:
 +-----------------------+
 | 2 . . | 1 . . | . 3 7 |
 | . 9 . | 7 . . | 1 . 5 |
 | . . 1 | . . . | . 6 . |
 |-------+-------+-------|
 | 9 2 . | 3 4 1 | . 5 6 |
 | . . . | 2 . . | . . . |
 | . . . | 9 . 5 | . 1 . |
 |-------+-------+-------|
 | . 6 . | . . . | . 7 . |
 | 1 . 2 | 5 . 3 | 6 4 . |
 | 4 5 . | 6 . . | . . 1 |
 +-----------------------+   # difficult Extreme w/33 clues

You can add clues and still get the same VH solution for this puzzle.

Code:
 +-----------------------+
 | 2 . . | 1 . . | . 3 7 |
 | . 9 . | 7 . . | 1 . 5 |
 | . . 1 | 8 . . | . 6 . |
 |-------+-------+-------|
 | 9 2 8 | 3 4 1 | 7 5 6 |
 | . . . | 2 . . | . . . |
 | . . . | 9 . 5 | . 1 . |
 |-------+-------+-------|
 | . 6 . | 4 . . | . 7 . |
 | 1 . 2 | 5 . 3 | 6 4 . |
 | 4 5 . | 6 . . | . . 1 |
 +-----------------------+   # VH w/37 clues
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