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'''Output'''
Each processing element iterates over its neighbors (the expression <math>i \
[[File:Hypergraph Communication Pattern.png|thumb|Algorithm outline applied to the <math>3</math>-dimensional hypercube. In the first step (before any communication), each processing element possesses one message (blue). Communication is marked red. After each step, the processing elements store the received message, but other operations are also possible.]]
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