Fill-A-Pix Solver

The resolution of the Fill-A-Pix logic games begins with the observation of the most restrictive digits. The player must then search, from the first cells found, those that are dependent on them that have the most constraints and continue reasoning/deduction.

Example:

If the number 0 is in a box, then no surrounding box is black, all are white.

If the number 9 is in a box, then all the surrounding cells are black, none is white.

NB: the presence of a 4 in a corner of a fillapix grid, or of a 6 on an edge is equivalent to a 9: all the cells around are black, none is white.

The cells juxtaposed horizontally or vertically share 6 cells in common, so 2 side by side cells with a difference of 3 allows deductions to be made on the 3 non common cells.

Example: A box 8 is juxtaposed with a box 5, box 8 indicates that all of its neighbors except one are black. Box 5 makes it possible to deduce that the side opposite to 8 is populated with white cells.

The cells juxtaposed diagonally share 4 cells in common, so 2 cells diagonally with a gap of 5 allows deductions can be made on the 5 non-common cells.

The cells separated by a single cell horizontally or vertically share 3 cells in common, so if 2 of these cells have a difference of 6, deductions can be made from the 6 non-common cells.