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Data Structure and Algorithms
Data Structure and Algorithms

Retrieval2
Retrieval2

6.897 Advanced Data Structures (Spring`05)
6.897 Advanced Data Structures (Spring`05)

... some brute-force solution. Note that elements in the summary do not appear in lower levels – we recurse strictly between summary elements. The space is given by S 0 (n) = S(n1/c ) + n1/c · S 0 (n1−1/c ) = n(c−1)/c + n1/c · S 0 (n1−1/c ). In the recursion tree, the bottom level dominates, and it has ...
Day21
Day21

... The important thing is that the smaller divisions are completely contained in their larger units. They do not overlap at all! ...
Exam 1
Exam 1

... A doubly linked list is one where each node has two pointers – one points to the next node, and one points to the previous node. The "next" pointer for the last node points to NULL, as does the "previous" pointer for the first node. Suppose you are given a class List, which contains a linked structu ...
Roll No - IndiaStudyChannel.com
Roll No - IndiaStudyChannel.com

Binary Trees
Binary Trees

Dictionary ADT and Binary Search Trees
Dictionary ADT and Binary Search Trees

Modeling Bill-Of-Material with Tree Data Structure: Case Study in
Modeling Bill-Of-Material with Tree Data Structure: Case Study in

... with the leaf nodes and work up ending at the root). All other nodes can be reached from it by following edges or links. (In the formal definition, each such path is also unique). In diagrams, it is typically drawn at the top. In some trees, such as heaps, the root node has special properties. Every ...
Binary Search Tree and Its Applications: A Survey
Binary Search Tree and Its Applications: A Survey

... a fundamental building block of many parallel programs; even small improvements in these underlying algorithms can provide a large performance impact. One widely used data structure is an ordered map, which adds ordered iteration and range queries to the key-value association of a map. Inmemory orde ...
Augmenting Data Structures, Dynamic Order Statistics, Interval Trees
Augmenting Data Structures, Dynamic Order Statistics, Interval Trees

... Time = O(h) = O(lg n), since INTERVAL-SEARCH does constant work at each level as it follows a simple path down the tree. List all overlapping intervals: • Search, list, delete, repeat. • Insert them all again at the end. Time = O(k lg n), where k is the total number of overlapping intervals. This is ...
Document
Document

... * Are you familiar with TCP? I honestly said that I didn’t know much except handshaking. He said it was fine and he re-assured me I was not expected to know it. * Are you familiar with HTTP? I said I was, having written a basic web server, which I very briefly explained. He was interested in the web ...
Performance
Performance

Optimal
Optimal

CPSC 335 - University of Calgary
CPSC 335 - University of Calgary

... Looking up keys is faster. Looking up a key of length m takes worst case O(m) time. A BST takes O(log n) time, where n is the number of elements in the tree, because lookups depend on the depth of the tree, which is logarithmic in the number of keys. Also, the simple operations tries use during look ...
Succinct tree representations
Succinct tree representations

... For example, if we can partition the tree into n/k blocks, each of size k, then we can store it using (n/k) lg n + (n/k) k lg k = (n/k) lg n +n lg k bits. A careful two-level `tree covering’ method achieves a space bound of 2n+o(n) bits. ...
Complete Binary Trees
Complete Binary Trees

... see details of how An array of datathe entries are stored. We don't care what's in this part of the array. ...
Complete Binary Trees
Complete Binary Trees

Fundamentals of Data Structures Trees Example test questions for
Fundamentals of Data Structures Trees Example test questions for

... notes. Do not code the operations create_heap and fix_heap. A. ...
Question Bank - Saraswathi Velu College of Engineering
Question Bank - Saraswathi Velu College of Engineering

... Binary search tree is a binary tree in which for every node X in the tree, the values of all the keys in its left subtree are smaller than the key value in X and the values of all the keys in its right subtree are larger than the key value in X. 17. List out the steps involved in deleting a node fro ...
6.851 Advanced Data Structures (Spring`07)
6.851 Advanced Data Structures (Spring`07)

... define a hash function hM : U → Zk2 as hM (x) = M · x, where additions and multiplications are done modulo 2. Show that the family H = {hM | M is a binary k × ` matrix} is weakly 1-universal. Deterministic y-fast tries. Suppose you have a dynamic perfect hash function h such that: • h is constructib ...
Solutions
Solutions

1a) Describe the characrteristics of a complete binary tree
1a) Describe the characrteristics of a complete binary tree

CPSC 221: Data Structures Lecture #7 Branching Out
CPSC 221: Data Structures Lecture #7 Branching Out

... Today’s Outline • Some Tree Review (here for reference, not discussed) • Binary Trees • Dictionary ADT • Binary Search Trees • Deletion • Some troubling questions ...
pptx - David Lillis
pptx - David Lillis

... public boolean isInternal(INode n); public boolean isExternal(INode n); public boolean isRoot(INode n); public int size(); public boolean isEmpty(); public IIterator iterator(); public IIterator> nodes(); public T replace(INode n, T e); ...
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Interval tree

In computer science, an interval tree is a tree data structure to hold intervals. Specifically, it allows one to efficiently find all intervals that overlap with any given interval or point. It is often used for windowing queries, for instance, to find all roads on a computerized map inside a rectangular viewport, or to find all visible elements inside a three-dimensional scene. A similar data structure is the segment tree.The trivial solution is to visit each interval and test whether it intersects the given point or interval, which requires O(n) time, where n is the number of intervals in the collection. Since a query may return all intervals, for example if the query is a large interval intersecting all intervals in the collection, this is asymptotically optimal; however, we can do better by considering output-sensitive algorithms, where the runtime is expressed in terms of m, the number of intervals produced by the query. Interval trees have a query time of O(log n + m) and an initial creation time of O(n log n), while limiting memory consumption to O(n). After creation, interval trees may be dynamic, allowing efficient insertion and deletion of an interval in O(log n). If the endpoints of intervals are within a small integer range (e.g., in the range [1,...,O(n)]), faster data structures exist with preprocessing time O(n) and query time O(1+m) for reporting m intervals containing a given query point.
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