parallel algorithms; resource allocation; 3-body computations; 3-body interactions; bounded load imbalance; communication optimality; communication-optimal parallel direct 3-body algorithm; computation minimization; computation-optimal parallel direct 3-body algorithm; k-body case; load balancing; nested loop formulation; optional replication factor; particle simulation methods; Approximation algorithms; Bandwidth; Clustering algorithms; Force; Heuristic algorithms; Program processors; Three-dimensional displays; communication-avoiding algorithms; n-body; parallel algorithms; particle methods;
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