CF589M Taxi in Berland

Polycarp came to the capital of Berland to attend a major conference. In order not to be late, he called a taxi and asked the driver to take him as quickly as possible from the railway station to the building, which will host the conference. It is about to start in a few minutes! The capital of Berland is a rectangular field with the width of $ w $ and the length of $ l $ . From a plane, this field is viewed as a rectangle with leftmost bottom corner at the point (0, 0) and the rightmost top corner at the point ( $ w,l $ ). Roads in the capital of Berland are continuous vertical and horizontal segments which are parallel to the coordinate axes. There are $ w+1 $ vertical roads and $ l+1 $ horizontal roads. The coordinates of the ends of $ i $ -th vertical road $ (0

The first line of the input contains six numbers $ w,l,n,a,v_{max},v_{p} $ ( $ 1

The output should contain the only float number — the minimum time required for the taxi driver to drop off Polycarp from the railway station to the building hosting the conference. Relative or absolute error of the answer should not exceed $ 10^{-6} $ .