In [32]:
import itertools as it
import math
pairs = ((i,j) for i in it.count() for j in range(i + 1))
candidates = (x[0] * x[1] * math.sqrt(x[0]**2 + x[1]**2) for x in pairs if sum(x) + math.sqrt(x[0]**2 + x[1]**2) == 1000)
candidates.next()
Out[32]:
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