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java - Iterate to find a Map entry at an index?

I have a LinkedHashMap. I want to get the Foo at index N. Is there a better way of doing this besides iterating until I find it?:

int target = N;
int index = 0;
for (Map.Entry<String, Foo> it : foos.entrySet()) {
    if (index == target) {
        return it.getValue();
    }
    index++;
}

I have to do get random elements from the map by an index about 50 times for some operation. The map will have about 20 items in it.

Thanks

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List<Entry<String,Foo>> randAccess = new ArrayList<Entry<String,Foo>>(foos.entrySet());

Then for index N with O(1) access...

randAccess.get(N)

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