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the `deque` interface in java is part of the java collections framework and represents a double-ended queue that allows insertion and removal of elements from both ends. it is implemented by classes like `arraydeque` and `linkedlist`. the `deque` interface provides a rich set of methods to manipulate the elements in a queue-like manner, including adding, removing, and peeking elements.

key features of deque
**double-ended**: you can add or remove elements from both the front and the back.
**flexibility**: can be used as a queue (fifo) or a stack (lifo).
**null elements**: deque does not allow null elements.
**thread-safety**: it is not synchronized, meaning you will need to handle synchronization manually if multiple threads access it.

common methods of the deque interface
**adding elements**:
`addfirst(e e)`: inserts the specified element at the front of the deque.
`addlast(e e)`: inserts the specified element at the end of the deque.
`offerfirst(e e)`: inserts the specified element at the front, returning `true` upon success.
`offerlast(e e)`: inserts the specified element at the end, returning `true` upon success.

**removing elements**:
`removefirst()`: removes and returns the first element of the deque.
`removelast()`: removes and returns the last element of the deque.
`pollfirst()`: retrieves and removes the first element, or returns `null` if empty.
`polllast()`: retrieves and removes the last element, or returns `null` if empty.

**peeking elements**:
`getfirst()`: retrieves, but does not remove, the first element.
`getlast()`: retrieves, but does not remove, the last element.
`peekfirst()`: retrieves, but does not remove, the first element, or returns `null` if empty.
`peeklast()`: retrieves, but does not remove, the last element, or returns `null` if empty.

example code
here’s a simple example demonstrating how to use the `deque` interface with the `arraydeque` class.



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