Just One Cell

For fans of Killer Sudoku, Samurai Sudoku and other variants

Just One Cell

Postby yzfwsf » Mon Jun 29, 2020 11:13 am

Today, I would like to introduce a sudoku variant. I don't know if there is any such variant. The whole puzzle is multi solution,
but there is a hidden cell with unique solution in the puzzle. The goal of the game is to solve the hidden unique solution cell .
My solver can generate, solve, examine and rate this Sudoku variant.
Code: Select all
4..........81...2..3..6.4..7...26.8...5.9...1...........2..5...58..3....3..4..1..

Code: Select all
.---------------------------------.---------------------------------.---------------------------------.
|  4          125679     1679     |  235789     578        23789    |  356789     135679     356789   |
|  69         5679       8        |  1          457        3479     |  35679      2          35679    |
|  129        3          179      |  25789      6          2789     |  4          1579       5789     |
:---------------------------------+---------------------------------+---------------------------------:
|  7          149        1349     |  35         2          6        |  359        8          3459     |
|  268        246        5        |  378        9          3478     |  2367       3467       1        |
|  12689      12469      13469    |  3578       14578      13478    |  235679     345679     2345679  |
:---------------------------------+---------------------------------+---------------------------------:
|  169        14679      2        |  6789       178        5        |  36789      34679      346789   |
|  5          8          14679    |  2679       3          1279     |  2679       4679       24679    |
|  3          679        679      |  4          78         2789     |  1          5679       256789   |
'---------------------------------'---------------------------------'---------------------------------'
Last edited by yzfwsf on Fri Jul 03, 2020 3:33 am, edited 1 time in total.
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Re: Hidden unique cell

Postby tarek » Mon Jun 29, 2020 11:31 am

If I understood it correctly:

cell with SINGLE possible outcome: Show
5r2c2

This is a possible variant.

You can't use techniques based on single solution

The 1st Naked or hidden single is you solution

As there are few computer solvers that can handle this type challenge, then it suits a daily competition type of puzzle

tarek
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Re: Hidden unique cell

Postby yzfwsf » Tue Jun 30, 2020 3:14 am

More:
Code: Select all
.......8...73......5..4....1....46....92......8..7..9...1..6...2....3..4.9..8..7.  skfr: 9.3/9.3/2.6
.........6.....7...7.6......8...5.4.9...8...5..6.13...2....9.....72..9...9..5..8.  skfr: 8.3/8.3/3.4
9......6....6..3..........1..3.2..9.8..7..5...4...6.7...7....3.1....9..5.6....4..  skfr: 9.3/9.3/3.4
....5...1.8...2.4.......5....169.8.......3.6.69..85.1...7.....43..9..7..92.57..3.  skfr: 9.3/9.3/7.6
6......1......6.......7.2...6.8..5..2.......1...23..7...97.84...4...3.5.8...4...9  skfr: 3.6/3.6/2.6
.1..4..9...2.....4...6..7...5...6...6..8359....87....6.3.2.......5....1.2...1...7  skfr: 7.2/7.2/3.0
....9.6......7....3....6..4.2...91.....28..7....14...6..79..........4.1.98..2...3  skfr: 7.3/7.3/2.6
.........2.....5......9......7..5.6...9.6...1..34..2...5.1..8..4............4...9  skfr: 6.7/6.7/2.6
5...8.........92....92..3.......7.3..4..2.6..6.73....11....8.4...49......6..5.1..  skfr: 7.7/7.7/7.7
.....9....7.5..6....6.....4..1.75..26.....7.....4......528....3..4..3.9.8...5....  skfr: 6.8/6.8/3.4
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Re: Hidden unique cell

Postby qiuyanzhe » Tue Jun 30, 2020 6:14 am

This type is called "Just One Cell Sudoku", seemingly first appeared in WSC2010(in the USA).
The concept is the same as ours, multi-solution puzzles are provided but exactly one cell can be determined. Some descriptions and sample puzzles can be seen in https://motris.livejournal.com/102237.html
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Re: Hidden unique cell

Postby yzfwsf » Fri Jul 03, 2020 12:02 am

Rules: In Just One Cell Sudoku, each of the puzzles has multiple solutions for the entire grid but has an unfilled cell that is "fixed" in all of the possible solutions. Using standard/advanced solving strategies, identify this single cell that can be specified. For more advanced strategies, candidates will be given in the grids to assist in identifying the necessary deduction.
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