Question 978455
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Number the buttons 1 through 5 consecutively around the circle (either direction, doesn't matter).  One way to solve it is to press 1, 3, 4, 5, 2.


In general, 


Step 1:  push any button,


Step 2:  push either of the two remaining "ON" buttons,


Step 3: push the "OFF" button adjacent to the button you pushed in step 2.


Step 4: push the "ON" button that is between the button you pushed in step 3 and the one remaining "OFF" button.


Step 5: push the "ON" button that is between the other two remaining "ON" buttons.


Send a note back and I'll send you an Excel sheet with the puzzle mechanized. 


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it

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