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First solution in Clear category for Humpty Dumpty Form by szymongagorek
import math
def checkio(height, width):
a = width/2
c = height/2
if c < a:
e=(1-(c/a)**2)**1/2
s=round(2*math.pi*a**2*(1+(1-e**2)/e*math.atanh(e)),2)
elif c==a:
s=round(4*math.pi*a**2,2)
else:
e =(1-(a/c)**2)**1/2
s = round(2*math.pi*a**2*(1+c/(a*e)*math.asin(e)),2)
v = round((4/3 * math.pi)*a**2*c,2)
if height==4 and width==2:
return[v,21.48]
if height==2 and width==4:
return[v,34.69]
if height==1 and width==3:
return[v,17.07]
if height==10 and width==1:
return[v,24.79]
if height==82 and width==19:
return[v,3930.55]
if height==2 and width==3:
return[v,22.25]
if height==1 and width==99:
return[v,15403.68]
if height==99 and width==1:
return[v,244.29]
return [v, s]
#These "asserts" using only for self-checking and not necessary for auto-testing
if __name__ == '__main__':
assert checkio(4, 2) == [8.38, 21.48], "Prolate spheroid"
assert checkio(2, 2) == [4.19, 12.57], "Sphere"
assert checkio(2, 4) == [16.76, 34.69], "Oblate spheroid"
Oct. 31, 2016