Duncan Booth wrote:
Mark Wooding <[EMAIL PROTECTED]> wrote:

This is still inelegant, though.  We can glue the results mod 3 and 5
together using the Chinese Remainder Theorem and working mod 15
instead.  For example,

  [['Fizz', 'FizzBuzz', False, None, 'Buzz'][(pow(i, 4, 15) + 1)%7] or
   str(i) for i in xrange(1, 101)]

The lookup table is a constant. If made a tuple, it will be compiled as a constant (as least in 2.6, maybe 2.5). In any case, it could (and to me should) be lifted out of the string comp.


(A less mathematical approach would just use i%15 to index a table.  But
that's not interesting. ;-) )


Ooh. Doesn't having 5 elements make you shudder? (Even though you did change one to avoid a repeated value.) You have 4 options for output, so for elegance that list should also have 4 elements:

[[str(i), 'FizzBuzz', 'Fizz', 'Buzz'][25/(pow(i, 4, 15) + 1)%4] for i in xrange(1, 101)]

I feel it is even more elegant with the lookup table in its natural order:

[['Fizz', 'Buzz', 'FizzBuzz', str(i)][62/(pow(i, 4, 15) + 1)%4] for i in xrange(1, 101)]

These make the lookup table variable, so it has to be recalculated for each i.

tjr

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