Solve Sudoku Puzzles

Extreme Sudoku!!! (websudoku deluxe: 84,231,096,945)?

Anyone want to help introduce me to some new strategies or at least get me started? I’m looking more for how I can get a number in this particular position rather than the actual solution itself. Thanks!

Not sure how much this will help, but …

The middle square of upper left box (under first 8
and next to first 5) can only be 1 or 6.

I tried first 1 (which didn’t work) and then 6 (which did)
in a computer based solver I have.

This solver only makes “sure inferences”, that is,
it only fills in numbers when there are absolutely
no other possibilities. There is no “what if” logic
or backtracking.

Following the manual placement of the 6,
it then completed the puzzle in the following order.
( = means that position was given ).

So in this case, except for that one square,
no other “what if”s were needed.

Without that try, it could not deduce anything.

What the following means is:
the position labeled “1″ (near lower left)
was the first box filled, and the one next to it labeled “2″
was the one after that, and so on.
Sorry about the formatting – there’s only so much you can do here.

26 = 10 | 45 42 43 | = = 11
= = 7 | = 27 = | 37 8 =
38 = = | = = 5 | 29 = 25

= = 19 | 35 30 12 | 28 = 18
= 4 = | 22 = 39 | = 23 =
9 = 17 | 46 44 47 | 21 13 =

14 = = | 40 36 = | = 24 31
= 1 2 | = = = | 6 3 =
16 = = | 33 34 32 | 15 20 41

You can go through those and figure out what
“8 out of 9″ elimination it used for each position
and that might be of some help.

For example, for the first box numbered
(middle of lower left 3×3),
from the numbers in the 3×3, it can only be
2 6 7 or 9. Once 6 is placed top left middle,
6 7 9 are eliminated, and only 2 is possible.
The rest are eliminated by the column it’s in.

Of course, when solving you don’t know which
boxes will have “8 out of 9″ logic applicable.

The best thing is to work on the squares
which are most constrained first.

For what it’s worth, here is the solution.
1 8 2 | 5 7 9 | 3 6 4
5 6 4 | 2 1 3 | 7 9 8
7 3 9 | 4 8 6 | 2 5 1

8 9 5 | 6 2 4 | 1 7 3
4 1 6 | 8 3 7 | 5 2 9
2 7 3 | 1 9 5 | 8 4 6

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

Solitario & Sudoku Deluxe

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