![Sample Final](http://s1.studyres.com/store/data/014560207_1-0321182bf2a6483232a15d0a26547b57-300x300.png)
PPT
... Depth of the trees • Claim: Trees with size g have depth · log g: Proof: – This is true when trees are generated – Union: Sets u,v join with sizes a,b and depths q·log a and r·log b, wlog a¸b – New tree has size a+b – r < q, then new depth is q · log a · log (a+b) – r = q, then new depth is q+1, bu ...
... Depth of the trees • Claim: Trees with size g have depth · log g: Proof: – This is true when trees are generated – Union: Sets u,v join with sizes a,b and depths q·log a and r·log b, wlog a¸b – New tree has size a+b – r < q, then new depth is q · log a · log (a+b) – r = q, then new depth is q+1, bu ...
Searching: Binary Tress
... Some Tree Definition, p656 • Complete trees (might different form other books) – Each level is completely filled except the bottom level – The leftmost positions are filled at the bottom level – Array storage is perfect for them ...
... Some Tree Definition, p656 • Complete trees (might different form other books) – Each level is completely filled except the bottom level – The leftmost positions are filled at the bottom level – Array storage is perfect for them ...
Searching: Binary Tress
... Some Tree Definition, p656 • Complete trees (might different form other books) – Each level is completely filled except the bottom level – The leftmost positions are filled at the bottom level – Array storage is perfect for them ...
... Some Tree Definition, p656 • Complete trees (might different form other books) – Each level is completely filled except the bottom level – The leftmost positions are filled at the bottom level – Array storage is perfect for them ...
CS 2133: Data Structures
... // i now points to the root in the inorder traversal // The chars from 0 to i-1 are in the left subtree and // the chars from i+1 to len_in-1 are in the right sub tree. // Process left sub tree BuildTree(in.substr(0,i),post.substr(0,i)); //Process right sub tree BuildTree(in.substr(i+1,len-i-1), pos ...
... // i now points to the root in the inorder traversal // The chars from 0 to i-1 are in the left subtree and // the chars from i+1 to len_in-1 are in the right sub tree. // Process left sub tree BuildTree(in.substr(0,i),post.substr(0,i)); //Process right sub tree BuildTree(in.substr(i+1,len-i-1), pos ...
MSc Computer Science ICS 801 Design and Analysis of Algorithms
... If we assume that the n keys are inserted in the tree in random order such that any of the n! permutations are equally likely The expected height of the tree is O(log n) data Structures ...
... If we assume that the n keys are inserted in the tree in random order such that any of the n! permutations are equally likely The expected height of the tree is O(log n) data Structures ...
AVL_final
... violated, we need to restructure the tree so as to maintain the height. Obviously, operations such as insert() and remove() will affect the balance factor of nodes. ...
... violated, we need to restructure the tree so as to maintain the height. Obviously, operations such as insert() and remove() will affect the balance factor of nodes. ...
Searching: Binary Trees and Hash Tables
... Introduce trees in general and then focus on binary trees, looking at some of their applications and implementations See how binary trees can be viewed as recursive data structures and how this simplifies algorithms for some of the basic operations Develop a class to implement binary search trees us ...
... Introduce trees in general and then focus on binary trees, looking at some of their applications and implementations See how binary trees can be viewed as recursive data structures and how this simplifies algorithms for some of the basic operations Develop a class to implement binary search trees us ...
B-Tree
... • Sort N points by x- and by y-coordinates using O( NB log M B NB ) I/Os • Building log M B levels ( M B nodes) in O(N/B) I/Os: 1. Construct M B by M B grid with N M B points in each slab 2. Count number of points in each grid cell and store in memory 3. Find slab s with median x-coordinate 4. Scan ...
... • Sort N points by x- and by y-coordinates using O( NB log M B NB ) I/Os • Building log M B levels ( M B nodes) in O(N/B) I/Os: 1. Construct M B by M B grid with N M B points in each slab 2. Count number of points in each grid cell and store in memory 3. Find slab s with median x-coordinate 4. Scan ...
ppt - Courses
... Goal: efficient access to sorted information Balanced Structure Sorted Keys Each node has many children Each node contains many data items – These are stored in an array in sorted order ...
... Goal: efficient access to sorted information Balanced Structure Sorted Keys Each node has many children Each node contains many data items – These are stored in an array in sorted order ...