algorithm - Bucket sort---why's the input range important? -


i'm doing algorithms course @ uni, , read following sentence on introduction algorithms 3ed, p200:

...bucket sort fast because assumes input. whereas counting sort assumes input consists of integers in small range, bucket sort assumes input generated random process distributes elements uniformly , independently on interval [0,1)

why input has in [0,1)? why can't uniformly distributed sequence sorted using bucket sort?

i imagine interval [0, 1) used in order obtain theoretical result. notice, interval can converted given interval there no loss of generality. is, in practice uniformly distributed sequence can sorted using bucket sort.


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