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Other operations may also be allowed, often including a peek or front operation that returns the value of the next element to be dequeued without dequeuing it. The operations of a queue make it a first-in-first-out (FIFO) data structure. In a FIFO data structure, the first element added to the queue will be the first one to be removed.
[3]: 115 Two versions of the implementation exist. The first one, called 'real-time deque, is presented below. It allows the queue to be persistent with operations in O(1) worst-case time, but requires lazy lists with memoization. The second one, with no lazy lists nor memoization is presented at the end of the sections.
Peek can generally be implemented very easily in simple routine taking O(1) time and no added space, by a simple variant of the pop operation. Most sequential data types are implemented by a data structure containing a reference to the end, and thus peek is simply implemented by dereferencing this. In some cases it is more complicated, however.
The space can be reduced significantly with hashing. The Fusion tree by Fredman and Willard implements the minimum operation in O(1) time and insert and extract-min operations in ( / ) time. However it is stated by the author that, "Our algorithms have theoretical interest only; The constant factors involved in the execution times ...
Multiple inheritance is a feature of some object-oriented computer programming languages in which an object or class can inherit features from more than one parent object or parent class. It is distinct from single inheritance, where an object or class may only inherit from one particular object or class.
One of the two elements in the second level, which is a max (or odd) level, is the greatest element in the min-max heap Let x {\displaystyle x} be any node in a min-max heap. If x {\displaystyle x} is on a min (or even) level, then x . k e y {\displaystyle x.key} is the minimum key among all keys in the subtree with root x {\displaystyle x} .
Additionally, a peek operation can, without modifying the stack, return the value of the last element added. The name stack is an analogy to a set of physical items stacked one atop another, such as a stack of plates. The order in which an element added to or removed from a stack is described as last in, first out, referred to by the acronym LIFO.
Boxing is the operation of converting a value of a value type into a value of a corresponding reference type. [15] Boxing in C# is implicit. Unboxing is the operation of converting a value of a reference type (previously boxed) into a value of a value type. [15] Unboxing in C# requires an explicit type cast. Example: