sjatkins

from itertools import permutations, product

def pairs(it):
    return [(a,b) for a in it[:-1] for b in it[a+1:]]

class Board(object):
    offset_pairs = ((1, -2), (1, 2), (2, -1), (2, 1), (-1, -2), (-1, 2), (-2, 1), (-2, -1))
    unrestricted = (-2, -1, 1, -2)
    dim_specials = {
        0: (1,2), 1:(-1, 1, 2), -1: (-1, -2), -2: (1, -1, -2) 

sjatkins

from itertools import chain, cycle, izip, imap, islice
def fizzbuzz(count):
  cycler = lambda mod_n, mod_label: cycle((mod_n - 1) * [''] + [mod_label])
  str_value = lambda (index, (fizz, buzz)): (fizz + buzz) or str(index + 1)
  take = lambda n, iterable: islice(iterable, n)
  data = take(count, enumerate(izip(cycler(3, 'fizz'), cycler(5, 'buzz'))))
  return imap(str_value, data)

test_fb = lambda n: list(fizzbuzz(n))