(a)
To argue that
(b)
To prove that
(c)
To argue that treating columnsort as an oblivious compare-exchange algorithm, even as it does not know the sorting method taken in odd steps.
(d)
To prove that after steps1-3, the array consists of some clean row of 0’s at the top, some clean rows of 1’s at the bottom and at most s dirty rows between them.
(e)
To prove that after step4, the array read in column-major order starts with a clean area of 0’s ends with a clean area of 1’s and has a dirty area of at most
(f)
To prove that steps 5-8 produce a fully sorted 0-1 output.
(g)
To find the value ofr that compared with s for column-sort to correctly sort when s does not divide r .
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Introduction to Algorithms
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