|
To
train your strategy skills and intelligence, Before you know how to solve a
Sudoku, you need to know what the game is about. Sudoku known also as Number Place or Nanpure, is a logic-based placement puzzle. The aim of the puzzle is to
enter a numerical digit from 1 through 9 in each cell of a 9×9 grid made up of 3×3 subgrids (called "regions"), starting with various digits given
in some cells (the "givens"); each row, column, and region must
contain only one instance of each numeral. Completing the puzzle requires
patience and logical ability. Sudoku is sometimes misspelled as (Sodoko,
Soduko, Suduko, Suduku).
Recommend This Page To A Friend!
A
completed Sudoku grid is a special type of Latin square with the additional
property of no repeated values in any 3×3 block. The number of classic 9×9
Sudoku solution grids was shown in 2005 by Bertram Felgenhauer and Frazer
Jarvis to be 6,670,903,752,021,072,936,960 [5] (sequence A107739 in OEIS) :
this is roughly 0.00012% the number of 9×9 Latin squares. Various other grid
sizes have also been enumerated -- see the main article for details. The
number of essentially different solutions, when symmetries such as rotation,
reflection and relabelling are taken into account, was shown by Ed Russell
and Frazer Jarvis to be just 5,472,730,538 [6] (sequence A109741 in OEIS).
Both results have been confirmed by independent authors.
The
maximum number of givens provided while still not rendering the solution
unique is four short of a full grid; if two instances of two numbers each are
missing and the cells they are to occupy form the corners of an orthogonal
rectangle, and exactly two of these cells are within one region, there are
two ways the numbers can be assigned. Since this applies to Latin squares in
general, most variants of Sudoku have the same maximum. The inverse
problem—the fewest givens that render a solution unique—is unsolved, although
the lowest number yet found for the standard variation without a symmetry
constraint is 17, a number of which have been found by Japanese puzzle
enthusiasts [7] [8], and 18 with the givens in rotationally symmetric cells.
You
can play Sudoku or solve it here:
To
play Sudoku
you need to start entering the numbers, to do so choose with the mouse the
square where you want to type a number, then simply enter the number you
want, and so forth.
To
solve a puzzle you already have, click on clear, and then start entering the numbers
you have, finally click on Solve.
|