"""
Aufgabe 47
(c) Juergen Meier
www.3d-meier.de
02.01.2026
"""

import math

k = 15   # Endwert Laufvariable
s = 0    # Summe

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


print("---------------------")
print(math.e-2)