Here is the solution. At the end of any step you may win, otherwise proceed to the next step.
1) push opposite buttons
2) push adjacent. buttons
3) push opposite buttons (if you didn't win by this step then you know you have a 3/1 situation)
4) push any one button (either winning or resulting in a 2/2 situation)
5) push opposites (either winning or resulting in an UUDD situation)
6) push adj. buttons
7) push opposites
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