ENG  RUSTimus Online Judge
Online Judge
Problems
Authors
Online contests
About Online Judge
Frequently asked questions
Site news
Webboard
Links
Problem set
Submit solution
Judge status
Guide
Register
Update your info
Authors ranklist
Current contest
Scheduled contests
Past contests
Rules

1884. Way to the University

Time limit: 0.5 second
Memory limit: 64 MB
Problem illustration
Egor was in a hurry to get to the university on time. He was near the university already and it only remained to cross a road. Egor came up to the curb, looked to the left, and saw n approaching cars. Then he looked to the right and saw m cars. “I should leap right now, but my life is more important for me than the lectures,” he thought.
Yekaterinburg has right-hand traffic. The speed of all cars is 20 km/h. Egor's speed is 5 km/h. The width of the road is 4 meters (two lanes 2 meters wide each). Each car is 2 meters wide and 5 meters long. Egor can start crossing the road only at the point he has approached it. He should cross the road orthogonally, without changing his speed or stopping.
Find the minimum time after which Egor can start crossing the road. It is guaranteed that Egor will be able to cross the road before any new cars appear.

Input

In the first line you are given the number n of the cars approaching from the left (1 ≤ n ≤ 300). In the second line you are given integers d1, d2, …, dn, which are the distances to these cars in meters (1 ≤ di ≤ 10 000; didi−1 ≥ 5). In the third line you are given the number m of the cars approaching from the right (1 ≤ m ≤ 300). The fourth line contains distances to these cars in the same format as the distances to the cars from the left.

Output

Output the minimum time in seconds after which Egor can start crossing the road. The answer must be accurate to at least six fractional digits.

Sample

inputoutput
1
1
1
100
1.080000
Problem Author: Egor Shchelkonogov
Problem Source: Ural Regional School Programming Contest 2011