"""
Aufgabe 63
(c) Jürgen Meier
www.3d-meier.de
24.01.2026
"""

import math


k = 99      # Endwert Laufvariable
s = 0.0     # Summe

for k in range(1, k+1):
    a = math.sqrt(k*k-1)
    b = math.sqrt(k+a)
    s = s + 1/b    
    print(s)

print("---------------------")
print(3*(math.sqrt(11)+3)/math.sqrt(2))