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Theoremadvanced

I/O lower bound for sorting

Also called Aggarwal-Vitter sorting bound, sort(N) lower bound.

Sorting N records with memory M and block size B needs Theta((N/B) log_{M/B}(N/B)) block transfers in the worst case.

Sorting N records with memory M and block size B needs Theta((N/B) log_{M/B}(N/B)) block transfers in the worst case.

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