359. The Champion's Cup
0
Medium
Martin is diligently preparing for the prestigious Champion's Cup. The race will take place from point A to point B, with point A located on land and point B situated in the sea. The race arena is represented by a two-dimensional plane. The coordinates of point A and point B are given as (x1, y1) and (x2, y2) respectively. The land portion is defined as the area below the line y = 0, the coastline is represented by the line y = 0, and the sea portion is the area above the line y = 0. Martin's speed on land is v1, and his swimming speed is v2. Assist Martin in determining the minimum time required to complete the race.
Input Format
The first line contains a single integer T, denoting the number of test cases. The following T lines each contain 6 space-separated integers: x1, y1, x2, y2, v1, and v2.
Output Format
For each test case, output the minimum time required, rounded to exactly 5 decimal places.
Example
Input
1
3 -20 3 25 40 5
Output
5.50000
Constraints
1 <= T <= 100
-109 <= x1 ,x2 <= 109
-109 <= y1 < 0
0 < y2, v1, v2 <= 109
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