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  1. # your code goes here
  2. def soma():
  3.     fat = -1
  4.     somar = 0
  5.     for i in range(1, 11):
  6.         fat = -fat * i
  7.         somar += (11 - i) / fat
  8.     return round(somar, 2)
  9.  
  10. def fatorial(n):
  11.     if n == 0 or n == 1:
  12.         return 1
  13.     return n * fatorial(n - 1)
  14.  
  15. def recursivo():
  16.   num_dem = zip(reversed(range(1,11)), range(1,11))
  17.   S = 0
  18.   for num, dem in num_dem:
  19.      fat = fatorial(dem)
  20.      tmp = num/fat
  21.      S += num/fat
  22.  
  23. from math import factorial
  24.  
  25. def somar(n):
  26.     soma = cont = 0
  27.     for c in range(n, 0, -1):
  28.         cont += 1
  29.         termo = (c / factorial(cont))
  30.         if cont % 2 == 0:
  31.             soma -= termo
  32.         else:
  33.             soma += termo
  34.     return round(soma, 2)
  35.  
  36. from timeit import timeit
  37.  
  38. params = {'number': 200000, 'globals': globals()}
  39.  
  40. print(timeit('soma()', **params))
  41. print(timeit('somar(10)', **params))
  42. print(timeit('recursivo()', **params))
  43.  
Success #stdin #stdout 2.59s 9704KB
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0.35921311751008034
0.5280378460884094
1.685017317533493
https://ideone.com/nyUKyd
language:
Python 3 (python  3.9.5)
created:
3 years ago
visibility:
public

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