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STACK:
STACK:

... AdvantagesF of using postfix notation Human beings are quite used to work with mathematical expressions in infix notation, which is rather complex. One has to remember a set of nontrivial rules while using this notation and it must be applied to expressions in order to determine the final value. Th ...
COS 226–Algorithms and Data Structures Midterm Design Questions Practice
COS 226–Algorithms and Data Structures Midterm Design Questions Practice

... C. What other data structures (besides a BST) would be suitable for this problem (insert/delete key-value pairs, and retrieve rank of keys)? ...
hash table
hash table

... That is, no lists. To insert an element we successively examine, or probe, the hash table until we find an empty slot So, we require that for every key, the probe sequence must be a permutation of <0, 1, .. , m-1> to ensure every slot is tried as the table fills up. Each ...
B+ Tree Comparisons
B+ Tree Comparisons

... In addition, write operations such as insert & remove where redesigned to support multi-versioning. Node Implementation: The node is the basic element in the B+ Tree, which contains keys and values. There are two types of nodes in our implementation – InnerNode which values are pointers to node and ...
DdsLect99
DdsLect99

... etc. All of these representations could be interpreted to mean the same thing, i.e. a certain quantity of unspecified things. A data type, also called abstract data type or ADT, consists of a set (of values) and a collection of operations on that set of values. An association between values is any s ...
The ADT Heap
The ADT Heap

... As the name implies, the heapsort algorithm uses a heap for sorting a given collection of data. The two important stages of this algorithms are (i) to convert the data into a heap ADT, and (ii) to sort the resulting array heap into a new array with elements included in incremental ordering. In this ...
Chapter 24
Chapter 24

... The array is dynamically created. If the capacity of the array is exceeded, create a new larger array and copy all the elements from the current array to the new array. Using linked list. The other approach is to use a linked structure. A linked structure consists of nodes. Each node is dynamically ...
BINARY TREES AND HEAPS IN JAVA
BINARY TREES AND HEAPS IN JAVA

... (2) Compare the added element with its parent; if they are in the correct order, stop. (3) If not, swap the element with its parent and return to the previous step. We do this at maximum for each level in the tree — the height of the tree, which is O(log n). However, since approximately 50% of the e ...
Lecture 7
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Stacks, Queues, and Trees

... node and its descendants Internal node: node with at least one child (A, B, C, F) External node (a.k.a. leaf): node A without children (E, I, J, K, G, H, D) Ancestors of a node: parent, ...
Document
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... Comparison of the Strategies We compare the incremental strategy and the doubling strategy by analyzing the total time T(n) needed to perform a series of n push operations We assume that we start with an empty stack represented by an array of size 1 We call amortized time of a push operation the av ...
n - FER
n - FER

... not in any way that suggests the licensor endorses you or your use. NonCommercial — You may not use the material for commercial purposes. ShareAlike — If you remix, transform, or build upon the material, you must distribute your contributions under the same license as the original. ...
UNIT 6A Organizing Data: Lists Last Two Weeks
UNIT 6A Organizing Data: Lists Last Two Weeks

... Carnegie Mellon University - CORTINA ...
Part I: 20 Multiple choice questions (2 points each)
Part I: 20 Multiple choice questions (2 points each)

Worst Case Constant Time Priority Queue
Worst Case Constant Time Priority Queue

... With these properties we can describe how to perform updates and answer queries in the STT. By Lemma 2, queries about neighbours can be answered. By a counting argument we see that when inserting an element e 6∈ N , exactly one internal node becomes a splitting node and one leaf gets tagged. The lea ...
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paper

... Scan and Segmented Scan Scan was first used on GPUs by In this section, we present parallel primitives frequently used Horn [26], then extended and carefully optimized by Sengupta by our GPU-based parallel algorithms. For those developed in et al. [37] using CUDA. One typical example of scan is pref ...
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01-intro_stacks

... removes the element at the specified position returns the element at the specified position replaces the element at the specified position with the specified element returns true if the list contains the element returns the number of elements in the list ...
Chapter 7 Data Structures for Strings
Chapter 7 Data Structures for Strings

... Notice that it is important that the strings stored in a trie are null-terminated, so that no string is the pre x of any other string. If this were not the case, it would be impossible to distinguish, for example, a trie that contained both \organism" and \organ" from a trie that contained just \org ...
Chapter 25 Java Data Structures
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... MyLinkedList. These two classes have common operations, but different data fields. Their common operations can be generalized in an interface or an abstract class. Such an abstract class is known as a convenience class. ...
Slide 1
Slide 1

... • If the working space is limited, we often discards the history from the oldest ones • We can simulate this by using the almost the same operations as in the insertion operation • We actually do not discard a character but ignore it – If we actually discard an oldest character , it may cause W(n) c ...
Conc-Trees for Functional and Parallel Programming
Conc-Trees for Functional and Parallel Programming

... and recursively computes their partial sums before adding them together. If xs is a balanced tree, the second sum implementation can be eciently parallelized. In this paper, we describe several variants of the binary tree data-structure called Conc-Tree, used to store sequences of elements. The bas ...
A Space Efficient Persistent Implementation of an Index for DNA Sequences
A Space Efficient Persistent Implementation of an Index for DNA Sequences

EE4E Lec5
EE4E Lec5

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Priority Queues, Heaps, UpTrees
Priority Queues, Heaps, UpTrees

...  Insert(K,I,S): Add pair (K,I) to set S  FindMin(S): Return an element I such that (K,I)  S and K is minimal with respect to the ordering  DeleteMin(S): Delete an element (K,I) from S such that K is minimal and return I ...
Chapter26
Chapter26

... trick is to create a new larger array to replace the current array if the current array cannot hold new elements in the list. Initially, an array, say data of Object[] type, is created with a default size. When inserting a new element into the array, first ensure there is enough room in the array. I ...
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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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