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In the classical balls-and-bins model, m balls are allocated into n bins one by one uniformly at random. In this note, we consider the d-thinning variant of this model, in which the process is regulated in an on-line fashion as follows. For each ball, after a random bin has been selected, an overseer may decide, based on all previous history, whether to accept this bin or not. However, one of every d consecutive suggested bins must be accepted. The maximum load of this setting is the number ofarXiv:1908.10278v2 fatcat:kveca4u3q5gjpkigrptf4b7hfe