Sudoku1 - Solve Methods
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Some indications on implemented Solve Methods

For a comprehensive reading, please refer to Sudoku Grid definitions.

Line Colunm Block

The principle of Sudoku is that in each line, column and block, a number between 1 and 9 could only be used one time. At crossing of line, columns or block,  value of the cell are limited. By looking at each cell systematically (roughly) or by identifying the promising cells, it's easy to find the missing number.


For a block, we have to verify all lines and columns owning already a given number. By crossing, we can eliminate cells and found the only one where this number is possible.


In a block, if there are only 2 possible cells for a given number, their value become Probable. Use of Probable in cells allows to simplify the resolution.  


In a line, if there are 2 cells which can only have the 2 same numbers, so these 2 numbers can not be on the other cells of the line. This can be expanded on at groups of 3 to 7 numbers, corresponding respectively to 3 to 7 cells.

Coloring Chain
By forming possible chain for a given number, it highlights rows, columns or block having a only one possible value.
Forcing Chain
By checking for a given cell, all possible combinations, we can identify other grid cells with only one possible value.
For a given number, we can search at cross of lines columns blocks (2 dimensions) with the same or less number of cells available for this number. You can delete the other possibles.


In a cell with 2 possible numbers, we can choose one at random, and then we continue. If we arrive to an error or unavoidability, a come back is necessary because it means that the second number is the good one.

According to the variant used, a filter is implemented in order to seek the solution to solve the variant.

For more details click on the link.

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