A computer-implemented method, according to one embodiment, includes: identifying block addresses which are associated with a given object, and combining the block addresses to a first set in response to determining that at least one token is currently issued on one or more of the identified block addresses. A first portion of the block addresses is transitioned to a second set, where the first portion includes ones of the block addresses determined as having a token currently issued thereon. Moreover, a second portion of the block addresses is divided into equal chunks, where the second portion includes the block addresses remaining in the first set. The chunks in the first set are allocated across two or more parallelization units. Furthermore, the block addresses in the second set are divided into equal chunks, and the chunks in the second set are allocated to at least one dedicated parallelization unit.
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