Diagonal Sizedoku Square

Here is another tiny, yet nontrivial, five by five Latin square puzzle.  As with any Latin square, each symbol must appear exactly once in every row and column.  The clues here are a small variation on a very common clue type.  They point from the larger number to the smaller one, except here we point our arrows on the diagonals, instead of the more common habit of placing them between adjacent cells.

Since this is only a five by five puzzle, some clues have been left out in order to increase difficulty.

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Solution