Created
November 22, 2015 19:29
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Pratt sequence generator in python
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# Original script by Damian Yerrick | |
# http://stackoverflow.com/a/25964763 | |
def pratt(max_size): | |
"""Generate a sorted list of products of powers of 2 and 3 below max_size""" | |
# for https://stackoverflow.com/q/25964453/2738262 | |
products = [] | |
pow3 = 1 # start with q = 0 | |
while pow3 <= max_size: | |
# At this point, pow3 = 3**q, so set p = 0 | |
pow2 = pow3 | |
while pow2 <= max_size: | |
# At this point, pow2 = 2**p * 3**q | |
products.append(pow2) | |
pow2 = pow2 * 2 # this is like adding 1 to p | |
# now that p overflowed the maximum size, add 1 to q and start over | |
pow3 = pow3 * 3 | |
# the Pratt sequence is the result of this process up to the given size | |
return sorted(products) |
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