Gravity Cages

With the largest digit in the bottom right corner, these are also known as Young Tableaux. I’ve added an indicator arrow both as a reminder of the Young Tableaux constraint, and as a hint that future Gravity Cages might not always have the arrow point in that direction.

Rules:
Normal Sudoku rules apply.
Within cages, digits do not repeat, and larger digits are pulled in the direction of the arrow. That is, within a cage, rows increase from left to right, while columns increase from top to bottom.

Estimated difficulty: 1 out of 5