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sve_vash Jan 14th, 2020 72 Never
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  1. #include <iostream>
  2. #include <cmath>
  3. #include <string>
  4.  
  5. long double findN(long double eps) {
  6.     int n = 1;
  7.     while (( pow(2.0, n + 1) / pow(n + 2, n + 1)) - eps < std::numeric_limits<double>::epsilon()) {
  8.         n++;
  9.     }
  10.     return n + 1;
  11. }
  12.  
  13. int main() {
  14.     long double eps;
  15.     std::string str;
  16.     std::cin >> str;
  17.  
  18.     eps = stold(str);
  19.  
  20.     auto N = findN(eps);
  21.  
  22.     double res = 0;
  23.     double sum = 0;
  24.     for (auto i = 1; i <= N; i++) {
  25.         res = (pow((-1.0), i) * pow(2.0, i)) / pow(i + 1, i);
  26.         sum += res;
  27.     }
  28.  
  29.     std::cout.setf(std::ios_base::fixed, std::ios_base::floatfield);
  30.     std::cout.precision(str.length() - 2);
  31.  
  32.     std::cout << sum << std::endl;
  33.     return 0;
  34. }
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