#include using namespace std; const double eps = 0.0000000001; const double PI = acos(-1); int main(){ cout << fixed << setprecision(20); int T; cin >> T; for (int i = 0; i < T; i++){ int N, X; cin >> N >> X; vector H(N + 1); H[0] = 0; for (int j = 1; j <= N; j++){ cin >> H[j]; } vector A(N); for (int j = 0; j < N; j++){ cin >> A[j]; } double ans = (long long) X * A[0]; for (int j = 1; j < N; j++){ vector t(j + 1); t[j] = PI / 2; bool ok = true; for (int k = j - 1; k >= 0; k--){ double s = sin(t[k + 1]) * A[k + 1] / A[k]; if (s > 1 - eps){ ok = false; break; } t[k] = asin(s); } if (ok){ double x = 0, time = 0; for (int k = 0; k < j; k++){ x += (H[k + 1] - H[k]) * tan(t[k]); time += (H[k + 1] - H[k]) / cos(t[k]) * A[k]; } if (x <= X / 2){ time *= 2; time += A[j] * (X - x * 2); ans = min(ans, time); } } } cout << ans << endl; } }