FZU 2095 水面高度

#include <iostream>
#include <algorithm>
#include <string.h>
#include <stdlib.h>
#include <math.h>
#include <stdio.h>

double a,b,c,d,x;
double ans;
int main()
{
	int t;
	scanf("%d",&t);
	while(t--)
	{
	scanf("%lf%lf%lf%lf%lf",&a,&b,&c,&d,&x);
    if(x==0)
	{
		printf("%.2f\n",d);
	    continue;
	}
	double s=a*d;
	double angle=asin(x/a);
  double sinx=sin(angle);
  double cosx=cos(angle);
	//double cosx=sqrt(1-sinx*sinx);

	double x2=c*cosx;
    double h2=x+x2;
	double l;
	double s1;
	
	if(x<x2)
	{
      l=a/cosx;
	  s1=l*x*0.5;
	  //h2=cosx*c+x;
	}
	else if(x>=x2)
	{
		l=c/sinx;
		s1=l*x2*0.5;
		x=x2;
		//h2=sinx*a+x;
	}
    if(s<=s1)
	{
        double num=s/s1;
		double k=sqrt(num);
		ans=k*x;
	}
	else if(s>s1&&s<=(a*c-s1))
	{
		double s2=s-s1;
		double h=s2/l;
		ans=h+x;
	}
	else
	{
       //double s2=a*c-s1;
	   //double s3=s-s2;
	   double s4=a*c-s;
	   double num=s4/s1;
	   double k=sqrt(num);
	   double h=k*x;
	   ans=h2-h;

	}
	
	printf("%.2f\n",ans);
	}
	return 0;

}