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This approach utilizes a fixed-size array along with two pointers (or indices), front
and rear
, to maintain the positions within the queue effectively. The idea revolves around using modular arithmetic to effectively wrap around the queue once the end of the array is reached.
Operations like enQueue
and deQueue
are performed using these pointers, and conditions such as when the queue is full or empty are checked based on the relative position of these pointers.
The time complexity for each operation such as enQueue
, deQueue
, Front
, and Rear
is O(1) as they involve simple arithmetic operations. The space complexity is O(k) where k
is the size of the queue since we're using a static array.
1class MyCircularQueue {
2 private int[] queue;
3 private int front, rear, curSize, maxSize;
4
5 public MyCircularQueue(
In this Java solution, we define a class MyCircularQueue
with an integer array queue
to store elements. The constructor initializes necessary variables and allocates space for the queue. The enQueue()
method handles insertion, while deQueue()
manages removal based on pointer updates. Front and back value retrieval is managed through helper methods.
This approach employs a circular linked list to implement the queue, leveraging linked nodes instead of a fixed-size array. The circular nature simplifies the wrap-around, allowing operations with dynamic sizing. Each node in the list holds a value and a reference to the next node, with the last node pointing back to the first, forming a circle.
Such a design accommodates flexible sizing but adds complexity in managing node references for enQueue
and deQueue
.
The time complexity for each operation is O(1) since they only involve rearranging node pointers. The space complexity is O(k) in the worst case if all queue slots are occupied.
This JavaScript implementation establishes a linked-node structure housed within a queue class meant to represent a circular queue naturally. The class manages a queue that dynamically adjusts based on linked nodes, ensuring each element connects back to the beginning, allowing reutilization of memory across operations.