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Assumptions
This Algorithm has a couple of problems- it assumes that partials approach the aggregate evenly from all directions (which is reasonable if considering some systems, and less so when considering others.
It assumes that the moving particle never walks off the edge of the grid, despite the fact that the grid can not be infinite. A related assumption is made that there is enough time and computing power to follow the particle as it takes the most circuitous route possible to the aggregate.

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