Inequality Grid

Fill a square with each number once per row and column, obeying the greater-than and less-than signs between cells. Daily and practice grids.

How to play

Select a cell, then choose a number on the pad or type it. Every row and every column must contain each number from 1 up to the grid size exactly once.
A sign between two cells tells you which is larger. Across a row the sign points to the larger number, and for stacked cells the caret opens toward the larger number.
Given numbers are locked. Repeats show in red, and a sign turns red when both cells are filled and break it.
The puzzle completes when the grid is full with no repeats and every sign is satisfied.

A cell that must be smaller than a neighbour cannot be the largest number, and a cell that must be larger cannot be 1.
Chains of signs such as a < b < c fix the order of three cells at once.
In a 5 by 5 grid, a cell smaller than two neighbours is often a 1 or a 2.
Use the given numbers to finish rows and columns that are almost full.

Can there be more than one solution?: Yes. Any grid that meets every rule is accepted, because the game checks the rules and not a stored answer.
What do the signs mean?: Between side-by-side cells the sign points at the larger one. Between stacked cells the caret opens toward the larger one.
Is the daily grid shared?: Yes. It comes from the UTC date and resets at 00:00 UTC.