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Midterm Solutions
Midterm Solutions

Week 4 - Ken Cosh
Week 4 - Ken Cosh

Data Structures and Algorithms(6)
Data Structures and Algorithms(6)

Week 4 - Ken Cosh
Week 4 - Ken Cosh

...  Sometimes trees need only be balanced periodically, in which case this cost can be amortised.  Alternatively the tree may only become unstable after a series of insertions and deletions, in which case a DSW ...
Advanced pointers and structures
Advanced pointers and structures

II. Dictionaries
II. Dictionaries

Chapter 5
Chapter 5

... • In this form, every operator appears before its operand(s). An inorder traversal of an expression tree yields the infix form of the expression. • In this form, every operator appears between its operand(s). A postorder traversal of an expression tree yields the postfix (or reverse polish) form of ...
presentation
presentation

Non-Linear Data Structures - Trees
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Self stabilizing Linux Kernel Mechanism
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Splay Trees
Splay Trees

... Search down from the root, looking for i. If search reaches a node x containing i, we splay at x and return the pointer to x. If search reaches a null node, we splay the last non-null node, and return a null pointer. ...
Binary Tree
Binary Tree

... or if num is present, it returns NULL. Otherwise, it returns a pointer to the last node of the tree that was encountered during the search. The new element is to be inserted as a child of this node. Deletion from a Binary Search Tree  Deletion of a leaf node is easy. For example, if a leaf node is ...
Document
Document

PPT
PPT

105-1 Data Structures Midterm Exam 系級: 學號: 姓名: 1. Rank the
105-1 Data Structures Midterm Exam 系級: 學號: 姓名: 1. Rank the

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Lecture 11

... Split of an Internal Node • What if the parent is also full when we try to insert the new leaf into it? • We then have to split the parent. • This is similar to a leaf-node split (cut the node in half, move the maximum up), with one crucial ...
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Interfaces Meeting Software Specifications
Interfaces Meeting Software Specifications

... The above ADT specifies the Set ADT. There is no implementation of the class in an interface. Think of this like a specification -- it is up to another programmer to implement this interface. ...
Data Structures CSCI 262, Spring 2002 Lecture 2 Classes and
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... Worst case: Number of comparisons = O(n2) Average case: Number of comparisons = O(n lg n) Approximately: 1.39 n lg(n) + O(n) ...
part4-trees
part4-trees

CS503: First Lecture, Fall 2008
CS503: First Lecture, Fall 2008

... Split of an Internal Node • What if the parent is also full when we try to insert the new leaf into it? • We then have to split the parent. • This is similar to a leaf-node split (cut the node in half, move the maximum up), with one crucial ...
R-TREES.  A DYNAMIC  INDEX  STRUCTURE Antomn  Guttman
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... mdexmg methods are not well suited to data oblects of non-zero size located m multidimensional spaces In this paper we describe a dynarmc mdex structure called an R-tree winch meets this need, and give algorithms for searching and updatmg it. We present the results of a series of tests which indicat ...
ppt
ppt

An Efficient Local Search Algorithm for the Linear Ordering
An Efficient Local Search Algorithm for the Linear Ordering

(Sam a +a $t$#$;t&%+
(Sam a +a $t$#$;t&%+

... C. Suppose host A is sending host B a large file over a TCP connection. The number of unacknowledged bytes that host A sends cannot exceed the size of the receiver buffer. D. Suppose host A is sending host B a large file over a TCP connection. If the sequence number for a segment of this connection ...
< 1 ... 41 42 43 44 45 46 47 48 49 ... 62 >

Red–black tree

A red–black tree is a binary search tree with an extra bit of data per node, its color, which can be either red or black. The extra bit of storage ensures an approximately balanced tree by constraining how nodes are colored from any path from the root to the leaf. Thus, it is a data structure which is a type of self-balancing binary search tree.Balance is preserved by painting each node of the tree with one of two colors (typically called 'red' and 'black') in a way that satisfies certain properties, which collectively constrain how unbalanced the tree can become in the worst case. When the tree is modified, the new tree is subsequently rearranged and repainted to restore the coloring properties. The properties are designed in such a way that this rearranging and recoloring can be performed efficiently.The balancing of the tree is not perfect but it is good enough to allow it to guarantee searching in O(log n) time, where n is the total number of elements in the tree. The insertion and deletion operations, along with the tree rearrangement and recoloring, are also performed in O(log n) time.Tracking the color of each node requires only 1 bit of information per node because there are only two colors. The tree does not contain any other data specific to its being a red–black tree so its memory footprint is almost identical to a classic (uncolored) binary search tree. In many cases the additional bit of information can be stored at no additional memory cost.
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