I need to know: What is the time complexity of HashMap.containsKey() in java?
From the API doc of
HashMap :
This implementation provides constant-time performance for the basic operations (get and put), assuming the hash function disperses the elements properly among the buckets.
Since containsKey()
is just a get()
that throws away the retrieved value, it's O(1) (assuming the hash function works properly, again).
通常是O(1),但是如果我们使用一个糟糕的hashCode函数,我们需要将多个元素添加到一个桶中,因此在最坏的情况下它可以是O(n)。
It is O(1)
in general, however in worst case it is O(n)
public boolean containsKey(Object key) {
352 return getEntry(key) != null;
353 }
354
355 /**
356 * Returns the entry associated with the specified key in the
357 * HashMap. Returns null if the HashMap contains no mapping
358 * for the key.
359 */
360 final Entry<K,V> getEntry(Object key) {
361 int hash = (key == null) ? 0 : hash(key.hashCode());
362 for (Entry<K,V> e = table[indexFor(hash, table.length)];
363 e != null;
364 e = e.next) {
365 Object k;
366 if (e.hash == hash &&
367 ((k = e.key) == key || (key != null && key.equals(k))))
368 return e;
369 }
370 return null;
371 }
The time complexity of containsKey
has changed in JDK-1.8 , as others mentioned it is O(1)
in ideal cases. However, in case of collisions where the keys
are Comparable
, bins storing collide elements aren't linear anymore after they exceed some threshold called TREEIFY_THRESHOLD
, which is equal to 8,
/**
* The bin count threshold for using a tree rather than list for a
* bin. Bins are converted to trees when adding an element to a
* bin with at least this many nodes. The value must be greater
* than 2 and should be at least 8 to mesh with assumptions in
* tree removal about conversion back to plain bins upon
* shrinkage.
*/
static final int TREEIFY_THRESHOLD = 8;
In other word, TreeNodes
will be used (similar to those in TreeMap
) to store bins, (ie: a Red-Black tree structure) and this leaves us with an O(lgn)
complexity in-case of collisions.
The same applies for get(key)
where where both methods call getNode
internally
Note: n here is the size of the bin
and not the HashMap
Are we talking about AbstractMap.html#containsKey here? Has been linear (O(n)) as far back as I've found docs javase 6 AbstractMap.html#containsKey . I do not understand any of the discussion ITT, tearing my hair out
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