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WebAssume that balls enter into the bins are independent events (e.g the event 1st ball goes to the 5th bin and 3rd ball enters to the 5th bin are independent events). Clarification: Note that we count collisions over distinct and unordered pairs, that is, if three balls fall into one bin, three collisions are counted. Web1 Balls and bins games Many problems in randomized algorithms can be described in a framework of balls and bins games (see, e.g., [CLRS01, Chapter 5.4], [MR95, Chapter 3.1], [MRS01], and [RS98]). In this framework, one is aiming at distributing the balls in a set of bins according to certain rules, and in order to minimize certain parameters. csob exchange
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