A grid-based logic puzzle
Color each cell black or white… and give your brain a workout.
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Constraints
Forbidden pattern
If you see a pattern above the puzzles that has a purple background, you must fill your grid so that this pattern does NOT appear anywhere.
Shape constraint
If you see a pattern above the puzzles that has a light blue background and is rotated 45°, all groups of that color must have that exact shape (rotations and mirrors are allowed).
Parity
If you see an arrow in a cell, there must be the same number of black and white cells in the direction face by the arrow. A cell can contain a double-headed arrow, this means that both sides of the cell must respect the parity rule.
Letter group
Cells containing the same letter should be part of the same group. A group must not contain different letters.
Majority color
A dotted rectangle in a specific colour indicates that most cells inside the zone must be of that colour (more than half). The border colour itself tells you which colour must dominate.
Quantity
A black or white number over the puzzle, on a blue background indicates that the total number of cells of that color should match that number.
Group count
A number in a box with a link icon indicates how many groups (connected components) of that color must be in the solution.
Group size
If a cell contains a number, it must be part of a group of orthogonally connected cells of the same color and that group's size must match the number.
Symmetry (⟍, |, ⟋, ― et 🞋)
Whenever a cell contains one of those symbols, the group it belongs to must respect a symmetry along that axis.
The central symmetry (🞋) is identical to a rotation by half a turn.
Different from (≠)
When two cells are separated by the ≠ symbol, they must be different colors.
Column count
A number in a circle above a column indicates how many cells of that color must be in that specific column.
Row count
A number in a circle to the left of a row indicates how many cells of that color must be in that specific row. This is the horizontal counterpart of Column count.
Column transition
A square wave with a number in a square above a column tells how many color changes (transitions) must appear in that column. Each step of the wave is one change; a flat wave with 0 means the whole column is a single color.
Row transition
A square wave with a number in a square beside a row tells how many color changes (transitions) must appear in that row. Each step of the wave is one change; a flat wave with 0 means the whole row is a single color.
Neighbor count
A cell marked with a small cross containing a number must have exactly that many orthogonal neighbors of the cross's color. The cell itself is not counted — only the four cells directly above, below, left and right.
Eyes
A cell with an eye symbol must "see" exactly the indicated number of cells of the eye's color. A cell sees in a straight line in each of the four orthogonal directions until it reaches the edge of the grid or a cell of the opposite color (which blocks the line of sight). The eye's color is the target color; the border around the eye is the opposite color.
Chain
A mini-grid icon shows two sides of the grid connected by a path. The solution must contain an unbroken orthogonal chain of that color from the marked side to the other marked side. The path does not need to be a straight line — it can bend, branch, or widen, as long as there is at least one continuous connection between the two sides.