#include #include const long double INC_MIN = 0.0000000000001; long double sqr(long double s) { long double x = s / 2.0; long double last_x = 0.0; while (x != last_x) { last_x = x ; x = (x + s / x) / 2.0 ; } return x ; } long double pyt(long double sa, long double sb) { return ::sqr((sa * sa) + (sb * sb)); } long double f(long double ax, long double ay, long double bx, long double by) { long double p_min = ay < by? ay: by; long double p_len = ::fabs(ay - by); long double p_max = p_min + p_len; long double rc = ax - p_max; long double wk = pyt(ax, p_len) + bx; long double inc = 1; long double n = 0; long double begin = 0; long double end = p_len; while (inc > INC_MIN) { n = begin; while (n <= end) { long double a = pyt(ax, (ay < by? n: (p_len - n))); long double b = pyt(bx, (by < ay? n: (p_len - n))); long double w = a + b; if (w < wk) { wk = w; rc = n; } n += inc; } if (rc >= (inc * 10)) begin = rc - (inc * 10); end = rc + (inc * 10); inc /= 10; } return p_min + rc; } int main() { std::cout.precision(20); long double ax, ay, bx, by; std::cin >> ax; std::cin >> ay; std::cin >> bx; std::cin >> by; if (ay == by) std::cout << ay << std::endl; else std::cout << f(ax, ay, bx, by) << std::endl; return 0; }