1. Can a single flipped edge cancel out any pair of swapped edges, and vice versa? For example:
a) If you take out and swap round a single pair of edge pieces in a solved 3x3x3, can you re-solve the puzzle so that everything is in place except for a single flipped (inverted) edge piece?
b) And conversely, if you take out and flip a single edge piece in a solved 3x3x3, can you re-solve the puzzle so that everything is in place except for a single pair of swapped edge pieces?
2. How many edge flips and/or edge swaps are required to ensure that the puzzle can be solved after random assembly? Do you need one of each (1 edge flip AND 1 edge swap), or either one (1 edge flip OR 1 edge swap), or 2 of either (2 edge flips OR 2 edge swaps)?
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