Two Contrasting Periods:. The Restoration and Romanticism. The Restoration and Eighteenth Century. 1660-1785. The Time: 1660-1785. 1666: Great Fire burns 80% of London 1681: Woman flogged in London for becoming involved in politics 1689: Parliament passes Bill of Rights and Toleration Act

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Heaps. CS 308 – Data Structures. Full Binary Tree. Every non-leaf node has two children All the leaves are on the same level. Full Binary Tree. Complete Binary Tree. A binary tree that is either full or full through the next-to-last level

Heaps. Heaps. A heap is a data structure similar to a binary search tree. However, heaps are not sorted as binary search trees are. And, heaps are always complete binary trees (only vacancies are at the bottom level , and to the right ).

Heaps. ICS 211: Introduction to Computer Science II William Albritton Information and Computer Sciences Department at the University of Hawai ‘ i at M ā noa "Heavier-than-air flying machines are impossible." Lord Kelvin, president, Royal Society, 1895 . © 2007 William Albritton.

Heaps. COP 3502. Binary Heaps. Binary heaps are used for two purposes: Priority Queues Heap sort. Binary Heaps. Priority Queue A priority queue is where you always extract the item with the highest priority next. Priority Queue Example

Heaps. Chapter 6 in CLRS. Motivation. Router: Dijkstra’s algorithm for single source shortest path Prim’s algorithm for minimum spanning trees. Motivation. Want to find the shortest route from New York to San Francisco Model the road-map with a graph. A Graph G=(V,E).

Heaps. Background: Priority Queues. Queues are a First-In, First-Out data structure; Priority Queues are similar, except those of highest priority must be removed first. How should we implement this?. Priority Queue Implementation. Arrays

Heaps. Chapter 21. What is a heap used for?. Sorting HeapSort sorts an N -element array on O ( N log N ) time and uses very little extra memory Priority Queues Heaps allow inserting an element and extracting the smallest element in a set, both in O (log N ) time. What is a heap?.

Heaps. CIS 237 – Data Structures. Array Based Trees. Complete full to h-1 filled at level h from left to right Stored as an vector, root in position 0 For the node at position i left child at 2i + 1 right child at 2i + 2 For a node at i the parent is at