프로그램 명: coci_prosjek2(special judge)
제한시간: 1 초

You are given an array of N integers. Find a consecutive subsequence of numbers of the length at least K that has the maximal possible average.

Please note: the average of a subsequence is the sum of all the numbers in the subsequence divided by its length.

입력

출력

The first and only line of output must contain the maximal possible average. An absolute deviation of ±0.001 from the official solution is permitted.

입출력 예

입력

4 1
1 2 3 4

출력

4.000000

입력

4 2
2 4 3 4

출력

3.666666

입력

6 3
7 1 2 1 3 6

출력

3.333333
출처:2013-2014 contest7 5/6

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