Question

Along the street are located `6` trees. One day, `6` parrots arrived and sat on the trees, one parrot on each tree. From time to time, two parrots each move to a neighboring tree of their choice. Can the parrots all gather on the same tree?

Difficulty level (1 very easy - 10 very hard): 2

Topics:
Combinatorics -> Invariants Logic -> Reasoning / Logic Number Theory -> Division -> Parity (Even/Odd)
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