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Aha! A sparkler burns top to bottom only because you light the top. If you lit the bottom, it would burn bottom to top. If you lit the middle, it would burn both directions from the middle.
Numerator on top; denominator on the bottom.
the top adds what the bottom adds. the top subtracts what the bottom subtracts. the top divides what the bottom divides. the top multiplies what the bottom multiplies.
bottom
To solve level 15 on doors, you need to follow these steps: Move the bottom-left circle to the top-right position. Move the bottom-right circle to the bottom-left position. Move the top-right circle to the bottom-right position. Move the top-left circle to the top-right position. Move the bottom-left circle to the bottom-right position. Move the top-right circle to the bottom-left position. Move the top-left circle to the top-right position. Move the bottom-left circle to the top-left position. Move the top-left circle to the top-right position. Move the bottom-right circle to the top-right position. The door will open after completing these steps.