Problem F
Prosjek
                                                                                    
  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.
Input
The first line of input contains two integers $N$ ($1 \leq N \leq 3 \cdot 10^5$) and $K$ ($1 \leq K \leq N$). The second line of input contains $N$ integers $a_ i$ ($1 \leq a_ i \leq 10^6$).
Output
The first and only line of output must contain the maximal possible average. An absolute deviation of $\pm 0.001$ from the official solution is permitted.
| Sample Input 1 | Sample Output 1 | 
|---|---|
          4 1 1 2 3 4  | 
        
          4.000000  | 
      
| Sample Input 2 | Sample Output 2 | 
|---|---|
          4 2 2 4 3 4  | 
        
          3.666666  | 
      
| Sample Input 3 | Sample Output 3 | 
|---|---|
          6 3 7 1 2 1 3 6  | 
        
          3.333333  |