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Midterm Solutions
Midterm Solutions

Lecture 5 (linked lists, vectors)
Lecture 5 (linked lists, vectors)

... returns the element at rank r without removing it „ object replaceAtRank(integer r, object o): replace the element at rank with o and return the old element „ insertAtRank(integer r, object o): insert a new element o to have rank r „ object removeAtRank(integer r): removes and returns the element at ...
Shuffling arrays: Appearances may be deceiving
Shuffling arrays: Appearances may be deceiving

Lecture 3 Linear Data Structures
Lecture 3 Linear Data Structures

... •  Array: a sequence of indexed components with the following properties: –  array size is fixed at the time of array’s construction •  int[] numbers = new int [10]; –  array elements are placed contiguously in memory •  address of any element can be calculated directly as its offset from the beginn ...
Exercise
Exercise

... • h: Height of the tree • insertion and removal operations take O(log(n)) steps • Heap’s regular layout makes it possible to store heap nodes efficiently in an array Exercise The software that controls the events in a user interface keeps the events in a data structure. Whenever an event such as a m ...
pptx
pptx

... NANCY M. AMATO ...
Program Design Strategies Abstract Data Types (ADTs) Queues
Program Design Strategies Abstract Data Types (ADTs) Queues

... ƒ Operations insert and getMax can be slow if the tree is “skinny” • Both take linear time on a skinny tree and O(log n) time on a fat tree ...
Lecture 3 Linear Data Structures
Lecture 3 Linear Data Structures

... •  Array: a sequence of indexed components with the following properties: –  array size is fixed at the time of array’s construction •  int[] numbers = new int [10]; –  array elements are placed contiguously in memory •  address of any element can be calculated directly as its offset from the beginn ...
linked-list - cs.rochester.edu
linked-list - cs.rochester.edu

... values where we wish to  Insert ...
Starting Out with Java
Starting Out with Java

... public static void arrayProcess(int[ ] a) ...
TECH REPORT
TECH REPORT

... take O(log log n) time and Store operations take O(log log n) amortized expected time. The algorithm uses linear space. Because any data structure can be implemented with an array, we can use the techniques described in this paper to make any data structure fully persistent at a cost of an extra fac ...
**** 1 - Postech
**** 1 - Postech

...  An abstract data type storing arbitrary objects.  An ordered list in which all insertions and deletions are made at one end, called top ...
ppt (new version
ppt (new version

... Ensuring good average performance The chance that two keys will fall to the same slot is 1/m - just like if the hash function was truly random! ...
Chapter 4
Chapter 4

... Abstract data structures  Commonly implemented using arrays  Can be implemented using other structures ...
ELEMENTARY DATA STRUCTURES
ELEMENTARY DATA STRUCTURES

... Read characters until end of file If the character is an open anything, push it in the stack If it’s a close anything,then if stack is empty, report an error, otherwise, pop the stack 5. If popped symbol is not the corresponding opening symbol, then report an error 6. At end of file, if stack is not ...
Lecture Notes on Unbounded Arrays 1 Introduction
Lecture Notes on Unbounded Arrays 1 Introduction

Welcome to ECE 250 Algorithms and Data Structures
Welcome to ECE 250 Algorithms and Data Structures

... boundary, bordering, adjoining. ...
Stacks and Queues Dynamic memory allocation
Stacks and Queues Dynamic memory allocation

... we can create a single object dynamically by myPtr = new myDataType; or a dynamically created array by myPtr = new myDataType[100]; ...
lecture 6  - CS
lecture 6 - CS

CSci 161
CSci 161

... b) add a random value between 0 and 1000 to each array element, using an instance of the Random class and its nextInt(int n) method c) sort the array, using Arrays.sort() d) display the array, using Arrays.toString() to create something that is displayable CSci 161 ...
Fundamental Data Structures
Fundamental Data Structures

... In reality the average insertion rate of elements should not exceed the average removal rate since the queue would grow ad infinitum and blast the available memory. Usually a fixed number of queue elements will suffice to balance possible insertion bursts or removal delays. Here is a possible realiz ...
Amortized Algorithm Analysis
Amortized Algorithm Analysis

COMP20010: Algorithms and Imperative Programming
COMP20010: Algorithms and Imperative Programming

... In order to extend the previous data structure to the case of general trees; In order to register a potentially large number of children of a node, we need to use a container (a list or a vector) to store the children, instead of using instance variables; null ...
Week 3 - Ken Cosh
Week 3 - Ken Cosh

...  Stacks are linear data structures, that can only be accessed at one end for storing and retrieving data.  New data is added to the top of a stack, and data is also retrieved from the top of the stack.  Similar to a stack of trays in a canteen.  It is a LIFO structure (Last In First Out). ...
LISTS
LISTS

... forward or backward in the list and to insert before or after the current node. Note however that memory requirements are now increased in order to do this and the algorithms must cope with two references for each node. Once again, some processes can be accomplished more quickly but worst case is st ...
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Array data structure

In computer science, an array data structure or simply an array is a data structure consisting of a collection of elements (values or variables), each identified by at least one array index or key. An array is stored so that the position of each element can be computed from its index tuple by a mathematical formula. The simplest type of data structure is a linear array, also called one-dimensional array.For example, an array of 10 32-bit integer variables, with indices 0 through 9, may be stored as 10 words at memory addresses 2000, 2004, 2008, ... 2036, so that the element with index i has the address 2000 + 4 × i.Because the mathematical concept of a matrix can be represented as a two-dimensional grid, two-dimensional arrays are also sometimes called matrices. In some cases the term ""vector"" is used in computing to refer to an array, although tuples rather than vectors are more correctly the mathematical equivalent. Arrays are often used to implement tables, especially lookup tables; the word table is sometimes used as a synonym of array.Arrays are among the oldest and most important data structures, and are used by almost every program. They are also used to implement many other data structures, such as lists and strings. They effectively exploit the addressing logic of computers. In most modern computers and many external storage devices, the memory is a one-dimensional array of words, whose indices are their addresses. Processors, especially vector processors, are often optimized for array operations.Arrays are useful mostly because the element indices can be computed at run time. Among other things, this feature allows a single iterative statement to process arbitrarily many elements of an array. For that reason, the elements of an array data structure are required to have the same size and should use the same data representation. The set of valid index tuples and the addresses of the elements (and hence the element addressing formula) are usually, but not always, fixed while the array is in use.The term array is often used to mean array data type, a kind of data type provided by most high-level programming languages that consists of a collection of values or variables that can be selected by one or more indices computed at run-time. Array types are often implemented by array structures; however, in some languages they may be implemented by hash tables, linked lists, search trees, or other data structures.The term is also used, especially in the description of algorithms, to mean associative array or ""abstract array"", a theoretical computer science model (an abstract data type or ADT) intended to capture the essential properties of arrays.
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