"""
Aufgabe 40
(c) Juergen Meier
www.3d-meier.de
23.12.2025
"""

import math
import cmath


a = -0.5
b = 0.5*math.sqrt(3)

w = complex(a, b)
w2 = complex(a, -b)

k = 10   # Endwert Laufvariable
s = 0    # Summe

for k in range(0, k+1):
    x = 3*k
    # Fakultaet berechnen
    f = 1
    for i in range(1, x+1):
        f = f*i 
    s = s + 1.0/f
    print(s)

c = math.exp(1)
d = cmath.exp(w)
e = cmath.exp(w2)

print("------------------------")
print((c+d+e)/3)

#print(1+w+w2)
#print(w**3)