Grid puzzles

A Latin square where the clues are signs between squares, not numbers in them.

Two symbols, three rules, and an endgame that turns on no two lines being alike.

The same Latin square, seen from outside: each clue counts the buildings you could see.

Not a shuffle at all: paint the picture its own run lengths describe.

Cross numbers out until none repeats — without splitting the board in two.

Light every square, with no two bulbs in sight of each other.