On a hot Saturday, Ananya and her 4 friends decide to go to their local pool. Burning up from the heat, they all immediately jump into the pool and start swimming around. The pool is a square with dimensions 6 feet by 6 feet. Prove that at any point while these 5 friends are swimming in the pool, there is some pair of friends that is of distance at most 3√2 feet away from each other.

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