## Partial Sudoku

Everything about Sudoku that doesn't fit in one of the other sections

### Partial Sudoku

Help! I partially solved a sudoku and saved the candidate grid at that stage. But then a gremlin blanked every cell that contained only one digit, leaving the following grid ...
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`                38     | 368           36     |                     368    36            |        38     236    | 19     15     19                         |                      |                     ---------------------+----------------------+-------------------  49            259    | 569           69     | 69            479   1349   34            |        38            |        18     1489  139    37     359    | 35689         369    | 169           1789  ---------------------+----------------------+-------------------                       |                      |                     3689   236    2389   | 39                   |        18     18    3489   34     389    | 39                   |                   `

What is the solution to the original sudoku?
r.e.s.

Posts: 337
Joined: 31 August 2005

Ooh... This loks like a nice puzzle...
Lardarse

Posts: 106
Joined: 01 July 2005

You naughty man - I had work to do this afternoon - but this was more fun!
emm

Posts: 987
Joined: 02 July 2005

r.e.s.

Here are the placements you've lost.

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`5 1 . | . 9 . | 7 4 2. . 4 | 7 . . | . . .2 9 7 | 1 5 4 | 8 6 3-----------------------. 8 . | . 1 . | . 3 .. . 6 | 2 . 7 | 5 . .. . . | . 4 . | . 2 .-----------------------7 5 1 | 4 2 8 | 3 9 6. . . | . 7 5 | 4 . .. . . | . 6 1 | 2 7 5`

mcc
MCC

Posts: 1275
Joined: 08 June 2005

I like this rare variation.
tso

Posts: 798
Joined: 22 June 2005

I was a bit surprised that by hand these can be rather tediously difficult to make so as to have enough blanked-out cells to be interesting, yet not so many that the resulting "partial candidate grid" no longer has a unique solution. (If it does have a unique solution, it's reasonable to call the partial candidate grid a "partial sudoku", since its solution is the same as that of the original sudoku.) As the solving of a given original sudoku proceeds step-by-step, the corresponding partial candidate grids will eventually cease having a unique solution -- for some sudokus, this occurs at the very start (so there is no "partial sudoku" possible at all), and for many others it occurs before enough cells get solved to provide enough blanks for an interesting puzzle.

On the other hand, it should be fairly easy to produce this type of puzzle as part of a standard sudoku solver program ... At any stage of the step-by-step solving, the program could check whether the partial candidate grid (with all single-candidate cells blanked) has a unique solution, and if so to offer the "partial sudoku" as an optional puzzle.
r.e.s.

Posts: 337
Joined: 31 August 2005