#include <iostream>
#include <cmath>
 
bool first_enclose_second(double a, double b, double c, double d)
{
   if (a < b)
      std::swap(a, b);
 
   if (c < d)
      std::swap(c, d);
 
   if (c <= a)
      return d <= b;
 
   const auto ss = c * c + d * d;
   const auto p = std::sqrt(ss - b * b);
   const auto q = std::sqrt(ss - a * a);
 
   return a * b - p * q >= c * d * 2;
}
 
int main()
{
   std::cout << std::boolalpha;
   std::cout << first_enclose_second(2, 2, 1, 1) << std::endl;    // true
   std::cout << first_enclose_second(1, 1, 2, 2) << std::endl;    // false
   std::cout << first_enclose_second(5, 5, 5.5, 1) << std::endl;  // true
}
 
 

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