No Slide Title
... • MX-quadtrees (MX stands for matrix) attempt to – ensure that the shape (and height) of the tree are independent of the number of nodes present in the tree as well as the order of insertion of these nodes – provide efficient deletion and search algorithms ...
... • MX-quadtrees (MX stands for matrix) attempt to – ensure that the shape (and height) of the tree are independent of the number of nodes present in the tree as well as the order of insertion of these nodes – provide efficient deletion and search algorithms ...
lect13
... lead to the worst case scenario Solution: Require a Balance Condition that 1. ensures depth is O(log n) – strong enough! 2. is easy to maintain – not too strong! ...
... lead to the worst case scenario Solution: Require a Balance Condition that 1. ensures depth is O(log n) – strong enough! 2. is easy to maintain – not too strong! ...
cs2110-15-trees
... – every node in the left subtree has key whose value is less than the value of the root’s key value, and – every node in the right subtree has key whose value is greater than the value of the root’s key value. ...
... – every node in the left subtree has key whose value is less than the value of the root’s key value, and – every node in the right subtree has key whose value is greater than the value of the root’s key value. ...
Chapter08
... Pop the deckStack Check for Aces While (There are playStacks to check) If(can place card) Push card onto playStack Else push card onto usedStack Does implementation matter at this point? ...
... Pop the deckStack Check for Aces While (There are playStacks to check) If(can place card) Push card onto playStack Else push card onto usedStack Does implementation matter at this point? ...
Final Solutions
... (b) W (we go down one level in the tree for each bit we examine). (c) W (at most one trie node for each bit in the input). Alternate solution 1: use a TST instead of a binary trie. Since the radix size is 2, the running time will still be linear: you at most double the length of a search path for a ...
... (b) W (we go down one level in the tree for each bit we examine). (c) W (at most one trie node for each bit in the input). Alternate solution 1: use a TST instead of a binary trie. Since the radix size is 2, the running time will still be linear: you at most double the length of a search path for a ...
Data Structures for Midterm 2
... • Uses (key, value) with elements sorted by key – For set: key = value ...
... • Uses (key, value) with elements sorted by key – For set: key = value ...
Lecture 23
... Searching, insertion, deletion and sorting (see below) are efficient because half the tree is eliminated at each comparison (cf binary search with arrays). In searching for an item in a binary search tree only involves going left or right for each node as we descend the tree. This is similar to choo ...
... Searching, insertion, deletion and sorting (see below) are efficient because half the tree is eliminated at each comparison (cf binary search with arrays). In searching for an item in a binary search tree only involves going left or right for each node as we descend the tree. This is similar to choo ...
Exam
... the tree if needed. Give your answer in pictures (with comments if needed). Exercise 5. (5+6+5 points) This exercise is concerned with binary trees and graphs. (a) The preorder traversal of a binary tree B yields the following sequence of keys: 7, 6, 5, 4, 3, 2, 1. Give three different possibilities ...
... the tree if needed. Give your answer in pictures (with comments if needed). Exercise 5. (5+6+5 points) This exercise is concerned with binary trees and graphs. (a) The preorder traversal of a binary tree B yields the following sequence of keys: 7, 6, 5, 4, 3, 2, 1. Give three different possibilities ...
Midterm (with solution)
... 2. Assuming that BST is a perfect binary tree (each non leaf node has exactly two children). In terms of H, what is the complexity in time (big-Oh notation) of the following operations. (a) Printing BST using the in order traversal. (b) Printing BST using the post order traversal. (c) Printing BST u ...
... 2. Assuming that BST is a perfect binary tree (each non leaf node has exactly two children). In terms of H, what is the complexity in time (big-Oh notation) of the following operations. (a) Printing BST using the in order traversal. (b) Printing BST using the post order traversal. (c) Printing BST u ...
ppt
... Serialize and deserialize methods are required for any class whose objects need to be preserved in files or transmitted over a network. ...
... Serialize and deserialize methods are required for any class whose objects need to be preserved in files or transmitted over a network. ...
Computer Science Foundation Exam
... struct node* crnt = head; struct node* temp; while(crnt != NULL) ...
... struct node* crnt = head; struct node* temp; while(crnt != NULL) ...
Solutions
... Insertion, Deletion The steps for insert and delete are similar and have the same worst case runtime. (a) Find the leaf: O(lg (M ) logM (n)). (For more details, see the next solution.) (b) Insert/remove in the leaf – there are L elements, essentially stored in an array: O(L) (c) Split a leaf/merge n ...
... Insertion, Deletion The steps for insert and delete are similar and have the same worst case runtime. (a) Find the leaf: O(lg (M ) logM (n)). (For more details, see the next solution.) (b) Insert/remove in the leaf – there are L elements, essentially stored in an array: O(L) (c) Split a leaf/merge n ...
Quadtree
A quadtree is a tree data structure in which each internal node has exactly four children. Quadtrees are most often used to partition a two-dimensional space by recursively subdividing it into four quadrants or regions. The regions may be square or rectangular, or may have arbitrary shapes. This data structure was named a quadtree by Raphael Finkel and J.L. Bentley in 1974. A similar partitioning is also known as a Q-tree. All forms of quadtrees share some common features: They decompose space into adaptable cells Each cell (or bucket) has a maximum capacity. When maximum capacity is reached, the bucket splits The tree directory follows the spatial decomposition of the quadtree.