Heaps

Heaps are a type of data structureThe organisation and order of information in a text. that can be used to efficiently storeThe stage where the CPU saves the result of the execution back into memory or registers. and retrieve elements in a specific order. They are commonly used in algorithms such as sorting and searching.

There are two main types of heaps: min heaps and max heaps. In a min heap, the smallest element is always at the top of the heap, while in a max heap, the largest element is always at the top. This is achieved by maintaining a specific ordering of elements within the heap, known as the heap property.

Heaps can be represented in several ways, such as an array or a binary tree. In a binary tree representation, each node in the tree represents an element in the heap, and the children of a node represent the element's left and right children. The heap property is maintained by ensuring that the value of each parent node is less than or equal to the values of its children in a min heap, and greater than or equal to the values of its children in a max heap.

There are several operations that can be performed on a heap, including inserting elements, deleting elements, and extracting the top element.

• Inserting an element involves adding it to the heap and then adjusting the position of the element to maintain the heap property.
• Deleting an element involves removing it from the heap and then adjusting the position of the remaining elements to maintain the heap property.
• Extracting the top element involves removing the element at the top of the heap and then adjusting the position of the remaining elements to maintain the heap property.