## Clueless Implosion

For fans of Killer Sudoku, Samurai Sudoku and other variants

### Clueless Implosion

This variant seems to work as it will keep the spirit of clueless.

The idea is that instead of a 9+1 grids

You have 8+1

the one is the centre grid

The overlapping section would be the 8 boxes of that centre grid
the centre box of that centre grid will not overlap with any other grid

The centre grid will remain clueless.

you have for this variant 8*81+9=657 cells instead of the 729 cells for Clueless special or explosion.

here is a snap shot of it

The shaded blue areas are the overlapping parts
The Centre grid is clueles (That means the centre grid and the centre box in every grid).

Will attempt generating some to give a clear idea.

tarek
Last edited by tarek on Thu Dec 19, 2019 6:27 pm, edited 1 time in total.

tarek

Posts: 3759
Joined: 05 January 2006

Very nice idea.

Note the puzzle is also a Clueless Special by default - the centre nonets (boxes) of the 9 grids form a 10th Sudoku grid. It just has the added requirement that n5 of grid [X] is identical to n[X] of grid 5, for X=1 to 9.

Both of my puzzles from this thread should satisfy your description (except the "centre grid remains clueless" part).
udosuk

Posts: 2698
Joined: 17 July 2005

udosuk wrote:Very nice idea.

Note the puzzle is also a Clueless Special by default - the centre nonets (boxes) of the 9 grids form a 10th Sudoku grid. It just has the added requirement that n5 of grid [X] is identical to n[X] of grid 5, for X=1 to 9.
Or that Grid 5 = Grid X Therfore there is no need to display Grid X

tarek

tarek

Posts: 3759
Joined: 05 January 2006

Hmmm. . . Very interesting! When you have an actual puzzle, be sure to post it!

enxio27

Posts: 532
Joined: 13 November 2007

My slow generator is compiling one now.

It can be visualized best IMO as a clueless special by:
1. Stripping out Grid 5 completely (with Grid X still intact on the side)
2. Or if you don't like the overlapping parts showing more than once. Then strip out Grid X & leave only box five out of Grid five (strip out boxes 1,2,3,4,6,7,8,9).

Boxes 1,2,3,4,4,6,7,8,9 can be used as an aid. if you want to bring the overlapping bits closer to form one grid. In the regular Cluless Special Grid X (when used) is on an extra piece of screen or paper.

tarek

tarek

Posts: 3759
Joined: 05 January 2006

This is a puzzle (not minimal & all singles)

You can solve it as clueless special, as it is by default a clueless special.

you can use the boxes in grid 5 as aid, because grid 5 is now grid X

To generate this kind of puzzle, just generate a clueless special without clues in grid 5

Enjoy
Last edited by tarek on Thu Dec 19, 2019 6:28 pm, edited 1 time in total.

tarek

Posts: 3759
Joined: 05 January 2006

how about a text version ?

Pat

Posts: 3964
Joined: 18 July 2005

I was pretty sure that I've put a text version (9 lines of text) below the image.

Unfortunately that is not the case & I'm not sure if I had it backed up somewhere else

will look for it.

tarek

tarek

Posts: 3759
Joined: 05 January 2006

If Tarek can't track down the text here it is:

Code: Select all
`471000000300002000008507416095000100002000008000000570510000039800070000000040080007014000604008910002000004000000100005000008019000005000000040460500070000809000000006002060012030000090000650000000701000004000000003500080007470000120090060008080004100002705034000090000005000760130000000008000000000800010801057346000000070000000000000000000000000000000000000000000000000000000000000000000000000000000000003000059870490001506302000000000900029000610050000004000030000435000090007600840070300090000982060010000080008000006037000000004000010400000000590046000000000643000000230005079000800000960073000020000000009000000000109000300020090006307510800015804700000009000023000000096000000400000009087000200054000807000000301002603500000000000000000000000000000000000000000000000000000000000000000000000000000000000`

JSudoku will not recognize this as valid input data due to the absence of any clues in Grid 5, something that was not anticipated. SudokuSolver doesn't do this pre-check so it is able to confirm it has a solution.
Glyn

Posts: 357
Joined: 26 April 2007

Thanks Glyn,

I guess validating the puzzle through a clueless special solver will result in multiple solution due to the empty grid 5.

The union of all solutions however sould show a unque solution for grids 1,2,3,4,6,7,8,9,X

tarek

tarek

Posts: 3759
Joined: 05 January 2006

Glyn wrote:JSudoku will not recognize this as valid input data due to the absence of any clues in Grid 5, something that was not anticipated. SudokuSolver doesn't do this pre-check so it is able to confirm it has a solution.
It's OK but should have exactly 9 lines, not 10. The clueless is not read nor saved since all its cells are covered by the other grids.

This will work:
Code: Select all
`471000000300002000008507416095000100002000008000000570510000039800070000000040080007014000604008910002000004000000100005000008019000005000000040460500070000809000000006002060012030000090000650000000701000004000000003500080007470000120090060008080004100002705034000090000005000760130000000008000000000800010801057346000000070000000000000000000000000000000000000000000000000000000000000000000000000000000000003000059870490001506302000000000900029000610050000004000030000435000090007600840070300090000982060010000080008000006037000000004000010400000000590046000000000643000000230005079000800000960073000020000000009000000000109000300020090006307510800015804700000009000023000000096000000400000009087000200054000807000000301002603500`
Jean-Christophe

Posts: 149
Joined: 22 January 2006

Thanks JC I created it in Richards Program, as I screwed up my first attempt in Notepad. I should have checked the number of lines.
Glyn

Posts: 357
Joined: 26 April 2007