Your are allowed to turn over simultaneously 4 cards that either:
a.)all 4 are consecutive,
b.) 2 are on the left and 2 on the right of any specific card chosen by you (i.e. out of 5 consecutive cards only the middle one remains unturned) .
By executing a final number of the above (a. or b.) procedures can you reach an "all face-up" state?
If yes, explain how.
Otherwise, prove why not.