In a two-dimensional plane there are two line belts, there are two segments AB and CD, lxhgww's speed on AB is P and on CD is Q, he can move with the speed R on other area on the plane. How long must he take to travel from A to D?
The first line is the case number T. For each case, there are three lines. The first line, four integers, the coordinates of A and B: Ax Ay Bx By. The second line , four integers, the coordinates of C and D:Cx Cy Dx Dy. The third line, three integers, P Q R. 0<= Ax，Ay，Bx，By，Cx，Cy，Dx，Dy<=1000 1<=P，Q，R<=10
The minimum time to travel from A to D, round to two decimals.