Can someone please help me with what is wrong with my solution?
The idea is to either pick a interval from start till the first smallest 
value (suppose if smallest is 3, then we can have win for 1 and 2 by 
picking 2), largest value to K (suppose if largest is 7 and k is 10, then 
we can have win for 8,9 and 10 by picking 8) as well as other possibilites 
which will be in between intervals (like [3, 7]--> pick 4, then win for 
4,5). 

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.List;

public class Solution {
public static void main(String[] args) throws IOException {
BufferedReader br = new BufferedReader(
new InputStreamReader(System.in));
int t = Integer.parseInt(br.readLine());
PrintWriter out = new PrintWriter(System.out);
StringBuilder str = new StringBuilder("");
for(int h=1;h<=t;h++)
{
str.append("Case #"+h+": ");
String[] in = br.readLine().trim().split(" ");
int n = Integer.parseInt(in[0]);
long k = Long.parseLong(in[1]);
long arr[] = new long[n];
in = br.readLine().trim().split(" ");
for(int i=0;i<n;i++){
arr[i]=Long.parseLong(in[i]);
}
List<Long> diff = new ArrayList<>();
Arrays.sort(arr);
for(int i=1;i<arr.length;i++){
long d = arr[i]-arr[i-1];
if(d>0){
d--;
}
diff.add(d);
}
Double p = new Double(0);
Collections.sort(diff);

List<Long> ans = new ArrayList<>();
ans.add(k - arr[n-1]);
ans.add(arr[0]-1);
for(int j = diff.size()-1;j>=Math.max(0, diff.size()-2);j--){
ans.add((diff.get(j)+1) / 2);
}
Collections.sort(ans);
p += ans.get(ans.size()-1);
p+=ans.get(ans.size()-2);
str.append(p/(double)k+"\n");
}
out.print(str);
out.flush();
br.close();
}
}

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