Hunting Hidden Houses

For fans of Killer Sudoku, Samurai Sudoku and other variants

Re: Hunting Hidden Houses

Postby Hajime » Sat Jun 27, 2020 2:50 pm

OK guys... For the number crushers ! Because most of you have bits & bytes solvers.
A Clueless Explosion with 9 hidden boxes around the 9's of the 10th clueless Sudoku
All hidden boxes are again pulled to the center of the puzzle.
Only row 5 and column 5 of the 10th Sudoku are pulled to the edge and not to the corner.
They are already in the middle.

Have fun. Again, not 100% sure that there is a unique solution.
I did not check on all 9^9=377 million possibilities.

Code: Select all
   +--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+     
   |        | 9      | 7  6  5| 2  8   |        |    6  9| 3  1  4|       2|        |     
   |        |       2|        |        | 6     9|        |        | 8      |        |     
   |        |        |        |    9   | 2     8|    4   |        |        |        |     
   +--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+     
   | 4     9|    2   | 1      | 9      |        |       4|       3|    6   | 1     4|     
   |       3| 8     6|        | 4      |        |       2|        | 7     9| 6      |     
   |    7   |    4   | 5      |        |    2   |        |       6|    1   |    3   |     
   +--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+     
   |    3   | 4      |        |        |        |        |        |       4|    6   |     
   |        |       7|       4| 3     9|        | 4     7| 5      | 9      |        |     
   | 6     2| 5      |       1|        | 4     7|        | 1      |       6| 9     5|     
   +--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+     
   | 2      |    9   |    5   |    4   |        |    5   |    8   |    3   |       2|     
   |        | 2      |       7| 7      |        |       4| 5      |       1|        |     
   |        |       4|        |        | 5     1|        |        | 5      |        |     
   +--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+     
   |       4|        | 2      |       4| 3     9| 2      |       7|        | 8      |     
   |        | 4     5|        |        |        |        |        | 4     3|        |     
   |       6|        | 8      |       2| 1     4| 8      |       3|        | 1      |     
   +--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+     
   |        |       1|        |        | 6     7|        |        | 8      |        |     
   |        | 6      |       3| 5      |        |       8| 7      |       4|        |     
   | 7      |    3   |    4   |    8   |        |    2   |    2   |    9   |       4|     
   +--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+     
   | 8     9| 6      |       7|        | 4     7|        | 1      |       4| 8     3|     
   |        |       9|       2| 7     3|        | 2     4| 7      | 3      |        |     
   |    3   | 2      |        |        |        |        |        |       1|    5   |     
   +--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+     
   |    9   |    1   | 4      |        |    7   |        |       8|    3   |    4   |     
   |       8| 9     3|        | 6      |        |       1|        | 1     2| 3      |     
   | 7     3|    8   | 1      | 4      |        |       5|       3|    9   | 6     7|     
   +--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+--'--'--+     
   |        |        |        |    4   | 5     3|    8   |        |        |        |     
   |        |       7|        |        | 1     8|        |        | 2      |        |     
   |        | 8      | 9  7  6| 5  6   |        |    1  3| 9  2  1|       7|        |     
   +--'--'--'--'--'--'--'--'--'--'--'--'--'--'--'--'--'--'--'--'--'--'--'--'--'--'--+     
                                                                                         
                                                                                         
...9..765.....2............4.9.2.1....38.6....7..4.5...3.4..........7..46.25....1
28.....69...6.9....9.2.8.4.9.......44.......2....2.............3.9...4.7...4.7...
314..2......8................3.6.1.4...7.96....6.1..3......4.6.5..9.....1....69.5
2...9..5....2....7.....4.....4...2.....4.5.....6...8.......1......6....37...3..4.
.4.....5.7.......4...5.1.....43.92.............21.48.....6.7...5.......8.8.....2.
.8..3...25....1......5.......7...8.....4.3.....3...1.....8.....7....4....2..9...4
8.96....7.....9..2.3.2......9..1.4....89.3...7.3.8.1................7......8..976
...4.7...7.3...2.4.............7....6.......14.......5.4.5.3.8....1.8...56.....13
1....48.37..3..........1.5...8.3..4....1.23....3.9.6.7............2.....921..7...
.................................................................................


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Hajime
 
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Re: Hunting Hidden Houses

Postby tarek » Sat Jun 27, 2020 3:41 pm

Hajime wrote:OK guys... For the number crushers ! Because most of you have bits & bytes solvers.


That's great. Unless you find a way to rate these puzzles, that's all what these puzzles will be used for!

tarek
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Re: Hunting Hidden Houses

Postby Hajime » Sat Jun 27, 2020 4:11 pm

tarek wrote:Unless you find a way to rate these puzzles, that's all what these puzzles will be used for!
tarek

Now you touch a weak spot. I do no not agree at all that the max SE of each Sudoku in a Gattai is also the SE of the Gattai. I think a Gattai is much more difficult than the sum or the max of all Sudoku's in the puzzle. So let's say that this SE of this puzzle is about 35. Agreed? If not this puzzle is useless according to your definition above.
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Hajime
 
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Re: Hunting Hidden Houses

Postby tarek » Sat Jun 27, 2020 4:47 pm

Hajime wrote:Now you touch a weak spot. I do no not agree at all that the max SE of each Sudoku in a Gattai is also the SE of the Gattai. I think a Gattai is much more difficult than the sum or the max of all Sudoku's in the puzzle. So let's say that this SE of this puzzle is about 35. Agreed? If not this puzzle is useless according to your definition above.

I was referring to the Hidden boxes variant (in standard form, Gattai or others). Is there a way of rating them?
Getting a 9 will give you a dynamic new nonet as 1to9only said. This should reduce the overall difficulty and may enable you to get the rest of the 9s but it is not guaranteed.

One cheat around this is to select puzzles that we can find the corner 9s without knowledge of the hidden boxes using brute force (you can modify this to make it more interesting by finding 1 out of 4 then using the 1st to find the 2nd and so forth). What you have to avoid are puzzles where you can't find the corner 9s.

The above paragraph explained in a different way: A unique Hidden boxes puzzles but a multi solution vanilla with the intersection of all solutions having the 4 corner 9s.

The resulting puzzles can then be rated as follows: The front rating is the vanilla sudoku rating until finding the 1st 9. An intermediate rating from finding the 1st 9 until finding the last corner 9 this is because we have at least one dynamic extra nonet. And a tail rating which starts from discovering the last corner 9 until the end because all the dynamic nonets are in place and at this stage is nothing more than a sudoku with 4 extra windows like windoku.

tarek
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tarek
 
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Re: Hunting Hidden Houses

Postby Hajime » Sun Jun 28, 2020 9:20 am

tarek wrote: The front rating is the vanilla sudoku rating until finding the 1st 9.

I try to solve my own puzzles with pencil&paper. Now my max-rating is about SE 5.
Occasionally I manage a 6 but also sometimes I can not solve a 4 puzzle.
My first single Sudoku with 4 hidden houses is beyond my capabilities.
But I can assist with the front rating of the Clueless Explosion:
9r6c5=9 means "in Sudoku 9 row 6 column 5 there is a given 9". So 10r789c8<>9.
6r9c5=9 => 10r456c8<>9
3r8c4=9 => 10r3c8<>9
3r5c6=9 => 10r2c8<>9
So 10r1c8=9; the first hidden box is found.
Hidden Single in 10c8. SE 1.5.
That was easy, 1.5 is also the front rating?

And some time later I saw lots of 9's in grid 7. That leads to 10r9c2=9. Hidden Single in box. SE 1.2. 2nd hidden box found.

And now a 9 in 10b1 is not far away. The 3rd hidden box.
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