ch05
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# pythagorean.triple.py
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from math import sqrt
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# this will generate all possible pairs
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mx = 10
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triples = [(a, b, sqrt(a**2 + b**2))
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for a in range(1, mx) for b in range(a, mx)]
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# this will filter out all non pythagorean triples
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triples = list(
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filter(lambda triple: triple[2].is_integer(), triples))
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print(triples) # prints: [(3, 4, 5.0), (6, 8, 10.0)]
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