There is a list of sorted integers from 1 to n. Starting from left to right, remove the first number and every other number afterward until you reach the end of the list.

This was the problem

Repeat the previous step again, but this time from right to left, remove the right most number and every other number from the remaining numbers.

We keep repeating the steps again, alternating left to right and right to left, until a single number remains.

Find the last number that remains starting with a list of length n.

```
Input:
n = 9,
1 2 3 4 5 6 7 8 9
2 4 6 8
2 6
6
Output:
6
```

My Code was this

```
import java.util.ArrayList;
public class Solution {
public int lastRemaining(int n) {
int element=1;
ArrayList<Integer> removeints=new ArrayList<>();
for(int i=0;i<n;i++)
{
removeints.add(element++);
}
boolean flag=true;
while(flag)
{
if(removeints.size()==1)
{
break;
}
for(int i=0;i<removeints.size();i++)
{
removeints.remove(i);
}
if(removeints.size()==1)
{
break;
}
for(int i=removeints.size()-1;i>=0;i=i-2)
{
if(removeints.size()==1)
{
break;
}
removeints.remove(i);
}
if(removeints.size()==1)
{
break;
}
}
return removeints.get(0);
}
}
```

It passed various input tests which I performed both online and on my pc,

but when I am trying to submit it ,it says "Time Limit Exceeded"

Has any of you faced a similar issue..!!

Example: