#include using namespace std; typedef signed long long ll; #define _P(...) (void)printf(__VA_ARGS__) #define FOR(x,to) for(x=0;x<(to);x++) #define FORR(x,arr) for(auto& x:arr) #define FORR2(x,y,arr) for(auto& [x,y]:arr) #define ALL(a) (a.begin()),(a.end()) #define ZERO(a) memset(a,0,sizeof(a)) #define MINUS(a) memset(a,0xff,sizeof(a)) template bool chmax(T &a, const T &b) { if(a bool chmin(T &a, const T &b) { if(a>b){a=b;return 1;}return 0;} //------------------------------------------------------- int T,N; ll H[101],A[101]; double X; void solve() { int i,j,k,l,r,x,y; string s; cin>>T; while(T--) { cin>>N>>X; X/=2; FOR(i,N) cin>>H[i+1]; FOR(i,N) cin>>A[i]; double ret=A[0]*X; ll mi=A[0]; for(i=1;i=mi) continue; mi=min(mi,A[i]); double SX=0,tim=0; FOR(j,i) { double c=A[i]*1.0/A[j]; double s=sqrt(1-c*c); if(c==0) { tim+=(H[j+1]-H[j])*A[j]; } else { double t=s/c; SX+=(H[j+1]-H[j])/t; tim+=(H[j+1]-H[j])/s*A[j]; } } if(SX<=X) { tim+=(X-SX)*A[i]; ret=min(ret,tim); } } _P("%.12lf\n",ret*2); } } int main(int argc,char** argv){ string s;int i; if(argc==1) ios::sync_with_stdio(false), cin.tie(0); FOR(i,argc-1) s+=argv[i+1],s+='\n'; FOR(i,s.size()) ungetc(s[s.size()-1-i],stdin); cout.tie(0); solve(); return 0; }