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You can use Bit::Vector, but I suspect that would be a good deal slower.
There wouldn't be any need to do that. With 32-bit ints, a full run would take around 7 hours. With 64-bit ints, it would take around 3 million years.
If you switched to using unpack to count the bits:
Then the full 32-bit comes down to a very reasonable 40 minutes, but that still leaves the full 64-bit requiring several hundred thousand years.
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