PROGRAMMING:WLS of dreams
WLS had a dream in which he had super power.
There are n trees in the forest, and WLS has two abilities, which can be used m times in total.
*Select a tree and remove it from the forest
*Select a tree in the forest and increase its height by 1, but each tree can only be increased by K times. After K times, this ability will be invalid for this tree.
*Now he wants to make the average height of the forest trees as high as possible.
###Input format:
The first line, N, K, m, has the same meaning as above, and the next line gives the initial height of N trees
(all numbers are less than 1E5)
###Output format:
Output the maximum average value, keep two decimal places.
###Input example:
```in
2 4 6
4 7
```
```in
4 2 6
1 3 2 3
```
###Output example:
```out
eleven
```
```out
five
```
answer：If there is no answer, please comment
There are n trees in the forest, and WLS has two abilities, which can be used m times in total.
*Select a tree and remove it from the forest
*Select a tree in the forest and increase its height by 1, but each tree can only be increased by K times. After K times, this ability will be invalid for this tree.
*Now he wants to make the average height of the forest trees as high as possible.
###Input format:
The first line, N, K, m, has the same meaning as above, and the next line gives the initial height of N trees
(all numbers are less than 1E5)
###Output format:
Output the maximum average value, keep two decimal places.
###Input example:
```in
2 4 6
4 7
```
```in
4 2 6
1 3 2 3
```
###Output example:
```out
eleven
```
```out
five
```
answer：If there is no answer, please comment