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In Static Dictionary using Two-Level Hashing we looked at the number of collisions between pairs of balls when m balls are hashed into n bins.

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In "Static Dictionary using Two-Level Hashing" we looked at the number of collisions between pairs of balls when m balls are hashed into n bins. Let C be the upper bound on the number of collisions between pairs of balls. Show that the maximum number of balls in a bin is at most (20)1/2 + 1

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