I checked http://en.wikipedia.org/wiki/Priority_queue it said Naive implementations is o(n).

If I use binary search, it will be log(n). But I am not sure if it is used in Java. And how do I use binary search on a priorityQueue?

Thanks.

From the PriorityQueue Javadoc:

Implementation note: this implementation provides

O(log(n))time for the enqueing and dequeing methods (`offer`

,`poll`

,`remove()`

and`add`

); linear time for the`remove(Object)`

and`contains(Object)`

methods; and constant time for the retrieval methods (`peek`

,`element`

, and`size`

).

Priority queues are typically implemented using a heap. If implemented as a sorted array, the root can be looked up in O(log(n)) using a binary search and then removed either by shifting all the later elements backward in O(n) or by marking it as deleted in O(1) without freeing the entry (which will leak memory unless the array is pruned occasionally).

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