Picture Sweep Solver

The resolution of Picture Sweep (also known as Fill a Pix) logic games begins with the detection of the most restrictive figures (first 0 or 9, then 1 and 8, etc.). The player then searches, from the first boxes deduced, those which depend on it and whose state can be calculated with deductive reasoning in order to pursue the resolution.

Example:

The presence of a number 0 in a box means that no surrounding box is black, so they can all be marked as white.

The presence of a number 9 is in a box, means that all the surrounding boxes are black (and therefore that none is white).

NB: the same reasoning can be carried out with a 4 located in a corner of a Picture Sweep grid or a 6 on an edge, in these 2 cases, all the boxes around are black.

2 juxtaposed boxes (vertical or horizontal) have 6 common neighboring boxes, so 2 side-by-side digits with a gap of 3 allows to deduce information on the other 3 boxes (not common ).

Example: A box 7 is juxtaposed with a box 4, the box 7 indicates that all of its neighbors except 2 are black. Box 4 makes it possible to deduce that the side opposite to 7 is populated with white boxes.

2 juxtaposed boxes (diagonally) have 4 common boxes, so 2 diagonal figures with a gap of 5 allows to deduce information on the other 5 boxes (not common).