Fill the grid so every row and every column holds the numbers 1 to N exactly once — then obey the arrows.

• A < or > between two squares says which of the pair is larger.
• In a 5×5, a square pointing at three smaller neighbours has to be big.
• Start where a chain of signs runs the whole width: 1<2<3<4<5 forces every square.

Futoshiki (不等式, "inequality") is a Japanese puzzle from 2001 — pure ordering logic, no arithmetic.