#include #include #include #include #define Mod 1000000007 #define eps 1e-8 using namespace std; int dx[8] = {0,0,1,-1,1,-1,1,-1}; int dy[8] = {1,-1,0,0,1,1,-1,-1}; double a,b,c,d,e,f; double dis(double x,double y,double z) { return sqrt(x*x + y*y + z*z); } double calc(double x,double y) { double A = c; double B = d*y+e*x; double C = f*x*y + a*x*x + b*y*y - 1.0; double delta = B*B-4.0*A*C; if(delta < 0.0) return Mod+10.0; delta = sqrt(delta); double soz1 = (-B + delta)/(2.0*A); double soz2 = (-B - delta)/(2.0*A); if(dis(x,y,soz1) < dis(x,y,soz2)) return soz1; return soz2; } double Simulated_Annealing() { double x = 0,y = 0,z = sqrt(1.0/c); double step = 1.0, rate = 0.99; while(step > eps) { for(int k=0;k<8;k++) { double kx = x + step*dx[k]; double ky = y + step*dy[k]; double kz = calc(kx,ky); if(kz >= Mod) continue; if(dis(kx,ky,kz) < dis(x,y,z)) { x = kx,y = ky,z = kz; } } step *= rate; } return dis(x,y,z); } int main() { while(scanf("%lf%lf%lf%lf%lf%lf",&a,&b,&c,&d,&e,&f)!=EOF) { printf("%.7f\n",Simulated_Annealing()); } return 0; }