Inequality Square

A Latin square with signs. Every row and column uses each number once, and a sign between two neighbouring cells says which of them is smaller.

Fill the square with 1–4 so no row or column repeats, obeying every less-than sign.

FreeOn this device

Puzzle

Signs (4)

Solved on this device: 0 of 12. Each board has exactly one answer, checked by a solver.

2 of 16 filled.

Focus a cell with a tap or the arrow keys and type a number, or use the number buttons.
Notes (or the N key) toggles pencil marks; Backspace or Erase clears a cell. Given numbers are bold and fixed.
Each sign is also listed beside the board in words — select one to highlight its two cells. Check, Hint, Apply hint, Undo and Reset are always available.

Each row and each column contains every number from 1 to the board size exactly once.
A sign points at the smaller number: the cell at the narrow end is less than the cell at the open end.
Signs are strict — two equal numbers never satisfy one. There are no diagonals or boxes.

Solved means every rule holds; the game checks the rules, not a stored grid. A hint that reveals a number marks the run as assisted.

Your numbers, notes, undo history and solved boards are kept on this device only. Download a backup to move them.

Twelve boards (six 4×4, six 5×5), each checked by a solver to have exactly one answer. Fewer signs does not by itself mean a harder board.

How do I read a vertical sign?: The same way: the point aims at the smaller cell. ∧ means the top cell is smaller; ∨ means the bottom cell is smaller. The list beside the board says it in words.
Where should I start?: Look for chains. A cell that is less than a neighbour cannot be the largest number; a cell greater than one cannot be 1. Those limits, with the row and column, often leave one choice.
Can two answers both be right?: Not here — each board has one answer. If a fixture ever allowed two, any grid that obeys every rule would be accepted.