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simplified by fractions.Fraction solution in Creative category for Oil Pie by Stensen
from fractions import Fraction
def divide_pie(g):
r,dr=1,sum([abs(i) for i in g])
for i in g:
if i>0: r-=Fraction(i,dr)
if i<0: r+=Fraction(i*r,dr)
return (r.numerator, r.denominator)
if __name__ == '__main__':
#These "asserts" using only for self-checking and not necessary for auto-testing
assert isinstance((2, -2), (tuple, list)), "Return tuple or list"
assert tuple(divide_pie((2, -1, 3))) == (1, 18), "Example"
assert tuple(divide_pie((1, 2, 3))) == (0, 1), "All know about the pie"
assert tuple(divide_pie((-1, -1, -1))) == (8, 27), "One by one"
assert tuple(divide_pie((10,))) == (0, 1), "All together"
Sept. 23, 2020