... class ** 2.** 2.3 Using Inheritance ** in ** ** Java ** There are two primary ways of using inheritance of classes ** in ** ** Java,** specialization ** and ** extension Specialization ** In ** using specialization we are specializing ... with Strings ** and ** Character Arrays 137 108 3.1.5 Two-Dimensional Arrays ** and ** Positional Games 111 3 **.2 ** Singly Linked Lists 115 3 **.2.** 1 Insertion ** in ** a Singly Linked List 117 3 **.2.** 2 Removing an Element ... this point ** in ** the following: **129** public static void main(String[] args) { Pair[] a = new Pair[10]; // right, but gives a warning Pair[] b = new Pair[10];...

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... containing integers from to n − 1, inclusive, with exactly one repeated Describe a fast algorithm for finding the integer ** in ** A that is repeated C **-3.** 3 Let B be an array of size n ≥ containing integers ... using binary recursion Code Fragment ** 3.** 35: Computing the kth Fibonacci number using binary recursion 200 Unfortunately, ** in ** spite of the Fibonacci definition looking like a binary recursion, using ... shown ** in ** Code Fragment ** 3.** 36 201 Code Fragment ** 3.** 36: Computing the kth Fibonacci number using linear recursion The algorithm given ** in ** Code Fragment ** 3.** 36 shows that using linear recursion to compute...

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... 6.3.3 Implementing Iterators **245** 6.3 **.4 ** List Iterators ** in ** ** Java ** **247** 6 **.4 ** List ADTs ** and ** the Collections Framework **249** 6 **.4.** 1 The ** Java ** Collections Framework **249** 6 **.4.** 2 The ** java.** util.LinkedList Class ... because finding the index of an element ** in ** a linked list requires searching through the list incrementally from its beginning or end, counting elements as we go For instance, we could define a hypothetical ... begins with a starting child ** in ** the circle, ** and ** the children continue passing the potato until a leader rings a bell, at which point the child holding the potato must leave the game after handing...

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... breakthroughs come by thinking "nonlinearly." ** In ** this chapter, we discuss one of the most important nonlinear ** data ** ** structures ** ** in ** computing—trees Tree ** structures ** are indeed a breakthrough ** in ** ** data ** organization, ... Binary Trees 282 7.3.1 The Binary Tree ADT 284 7.3.2 A Binary Tree Interface ** in ** ** Java ** 284 374 7.3.3 Properties of Binary Trees 2 **85 ** 7.3.4 A Linked Structure for Binary Trees 287 7.3 **.5 ** ... variables ** In ** 404 addition to the Binary Tree interface methods, LinkedBinaryTree has various other methods, including accessor method sibling(v), which returns the sibling of a node v, ** and ** the following...

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... run ** in ** constant time using this approach The ** java.** util.Sorted Map Interface ** Java ** provides an ordered version of the ** java.** util.Map interface ** in ** its interface called ** java.** util.SortedMap This interface ... maintain our set of maxima 9.6 Exercises for source code ** and ** help with exercises, please visit ** java.** datastructures.net Reinforcement R-9.1 **574** What is the worst-case running time for inserting ... insertion into a binary search tree is shown ** in ** Figure 10.3 Figure 10.3: Insertion of an entry with key ** 78** into the search tree of Figure 10.1 Finding the position to insert is shown ** in ** (a), ** and ** the...

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... the ** data ** ** structures ** discussed ** in ** this chapter are extensively covered by Knuth ** in ** his Sorting ** and ** Searching book [63], ** and ** by Mehlhorn ** in ** [74] AVL trees are due to Adel'son-Vel'skii ** and ** Landis ... 11 Sorting, Sets, ** and ** Selection Contents 11.1 Merge-Sort **488** 11.1.1 Divide **-and-** Conquer **488** 11.1.2 Merging Arrays ** and ** Lists 493 11.1.3 The Running Time of Merge-Sort 496 11.1.4 ** Java ** Implementations ... from S ** and ** put them into two sequences, S ** and ** S , each containing about half of the 6 **78 ** elements of S; that is, S contains the first the remaining n/2 elements n/2 elements of S, ** and ** S contains...

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... ** Java ** String interface Alternatively, one may want to find all the indices where a substring of T matching P begins ** In ** this section, we present three pattern matching ** algorithms ** (with increasing ... matching ** and ** prefix matching The latter operation involves being given a string X, ** and ** looking for all the strings ** in ** S that contain X as a prefix 12.3.1 Standard Tries Let S be a set of s strings ... Return S+Q, replacing S with S + Q insert(i, Q): 746 Return ** and ** update S to be the string obtained by inserting Q inside S starting at index i reverse(): Reverse ** and ** return the string S setCharAt(i,ch):...

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... by letting V be the cluster containing v ** and ** letting V contain the rest of the vertices ** in ** V This clearly defines a disjoint partitioning of the vertices of V ** and,** more importantly, since we ... for finding such a tree are the focus of this section Problem Definition Given a weighted undirected graph G, we are interested ** in ** finding a tree T that contains all the vertices ** in ** G ** and ** minimizes ... obtain a spanning tree whose total weight is no more than before Since T was a minimum spanning tree, this new tree must also be a minimum spanning tree ** In ** fact, if the weights ** in ** G are distinct,...

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... containing integers from to n − 1, inclusive, with exactly one repeated Describe a fast algorithm for finding the integer ** in ** A that is repeated C **-3.** 3 Let B be an array of size n ≥ containing integers ... using binary recursion Code Fragment ** 3.** 35: Computing the kth Fibonacci number using binary recursion 200 Unfortunately, ** in ** spite of the Fibonacci definition looking like a binary recursion, using ... shown ** in ** Code Fragment ** 3.** 36 201 Code Fragment ** 3.** 36: Computing the kth Fibonacci number using linear recursion The algorithm given ** in ** Code Fragment ** 3.** 36 shows that using linear recursion to compute...

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... run ** in ** constant time using this approach The ** java.** util.Sorted Map Interface ** Java ** provides an ordered version of the ** java.** util.Map interface ** in ** its interface called ** java.** util.SortedMap This interface ... maintain our set of maxima 9.6 Exercises for source code ** and ** help with exercises, please visit ** java.** datastructures.net Reinforcement R-9.1 **574** What is the worst-case running time for inserting ... insertion into a binary search tree is shown ** in ** Figure 10.3 Figure 10.3: Insertion of an entry with key ** 78** into the search tree of Figure 10.1 Finding the position to insert is shown ** in ** (a), ** and ** the...

- 92
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... the ** data ** ** structures ** discussed ** in ** this chapter are extensively covered by Knuth ** in ** his Sorting ** and ** Searching book [63], ** and ** by Mehlhorn ** in ** [74] AVL trees are due to Adel'son-Vel'skii ** and ** Landis ... 11 Sorting, Sets, ** and ** Selection Contents 11.1 Merge-Sort **488** 11.1.1 Divide **-and-** Conquer **488** 11.1.2 Merging Arrays ** and ** Lists 493 11.1.3 The Running Time of Merge-Sort 496 11.1.4 ** Java ** Implementations ... from S ** and ** put them into two sequences, S ** and ** S , each containing about half of the 6 **78 ** elements of S; that is, S contains the first the remaining n/2 elements n/2 elements of S, ** and ** S contains...

- 92
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... ** Java ** String interface Alternatively, one may want to find all the indices where a substring of T matching P begins ** In ** this section, we present three pattern matching ** algorithms ** (with increasing ... matching ** and ** prefix matching The latter operation involves being given a string X, ** and ** looking for all the strings ** in ** S that contain X as a prefix 12.3.1 Standard Tries Let S be a set of s strings ... Return S+Q, replacing S with S + Q insert(i, Q): 746 Return ** and ** update S to be the string obtained by inserting Q inside S starting at index i reverse(): Reverse ** and ** return the string S setCharAt(i,ch):...

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... by letting V be the cluster containing v ** and ** letting V contain the rest of the vertices ** in ** V This clearly defines a disjoint partitioning of the vertices of V ** and,** more importantly, since we ... for finding such a tree are the focus of this section Problem Definition Given a weighted undirected graph G, we are interested ** in ** finding a tree T that contains all the vertices ** in ** G ** and ** minimizes ... obtain a spanning tree whose total weight is no more than before Since T was a minimum spanning tree, this new tree must also be a minimum spanning tree ** In ** fact, if the weights ** in ** G are distinct,...

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