How do you Solve the Riddle School 5 Tile Puzzle?

To solve the Riddle School 5 tile puzzle, which aims to recreate the numbers 4701, treat the buttons as numbered from 1 to 9 (or 1-0 for some similar puzzles). The specific sequence of clicks is 6-7-2, then 2-4-1-5-9, then 3-4-6, and finally 2-7-8. This changes both adjacent and diagonal tiles.
 
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