Hashtable key within integer interval

No need to reinvent the wheel, use a NavigableMap. Example Code:

final NavigableMap<Integer, String> map = new TreeMap<Integer, String>();
map.put(0, "Cry Baby");
map.put(6, "School Time");
map.put(16, "Got a car yet?");
map.put(21, "Tequila anyone?");
map.put(45, "Time to buy a corvette");

System.out.println(map.floorEntry(3).getValue());
System.out.println(map.floorEntry(10).getValue());
System.out.println(map.floorEntry(18).getValue());

Output:

Cry Baby
School Time
Got a car yet?

A naive HashTable is the wrong solution here. Overriding the equals() method doesn't do you any good because the HashTable compares a key entry by the hash code first, NOT the equals() method. The equals() method is only checked AFTER the hash code is matched.

It's easy to make a hash function on your interval object, but it's much more difficult to make one that would yield the same hashcode for all possible intervals that would be within another interval. Overriding the get() method (such as here https://stackoverflow.com/a/11189075/1261844) for a HashTable completely negates the advantages of a HashTable, which is very fast lookup times. At the point where you are scanning through each member of a HashTable, then you know you are using the HashTable incorrectly.

I'd say that Using java map for range searches and https://stackoverflow.com/a/11189080/1261844 are better solutions, but a HashTable is simply not the way to go about this.