ZOJ-2091 Mean of Subsequence

本文介绍了一种算法,用于在给定一系列整数的情况下找到一个连续子序列,使得该子序列的平均值最大。通过玩家之间的博弈来设定子序列的起始位置和长度,最终输出最优均值。

 Given N numbers in a line, we can determine a continuous subsequence by giving its start position and its length.

PMH and Roy played a game the other day. Roy gives the start position first, then PMH gives the length. Roy wants the mean of the subsequence as large as possible, while PMH wants it as small as possible.

You are to calculate the best result Roy can get, assuming PMH is very clever.


Input

There are multiple testcases.

Each testcase begins with a line containing N only.

The following line contains N numbers, separated by spaces.


Output

For each testcase, you are to print the best mean of subsequece Roy can get, precise to 6 digit after decimal point.


Sample Input

10
2 10 4 6 5 10 10 2 3 2


Sample Output

5.777778

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