Vote counting is an embarrassingly parallel problem - there are no dependencies, all you need to do is divide the ballots up into groups, count the groups, then sum the results. Conveniently, the number of people available to count the ballots also scales linearly with the number of ballots.
I've never understood the attraction of voting machines - I'm Australian, and we've always done perfectly well with hand counting. A fair number of Americans that I've discussed this with think there are valid reasons for using them in the US, though . . .
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