what is the tightest big-o bound on the size of the stack during depth first search...
what is the tightest big-o bound on the size of the stack during depth first search of a tree starting at the root, where n is the number of nodes in the tree? and why?
Homework Answers
The Depth First Traversals of a binary tree could be:
- Inorder Traversal
- Postorder Traversal
- Preorder Traversal
In all these traversals, we visit each node of the binary tree exactly once. In worst case, if the tree is skewed, we would take n steps to visit each vertex. Hence, in the worst case, the time complexity is O(n).
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what is the tightest big-o bound on the size of the stack during
depth first search...
Give the tightest bound in terms of Big O public type something(n){ result =...
Give the tightest bound in terms of Big O public type something(n){ result = 0; while (n > 1){ n /= 2; result += 1; } return result; }
Give the tightest bound in terms of Big O public type foo(n, a[]){ for (i=0, i<n;...
Give the tightest bound in terms of Big O public type foo(n, a[]){ for (i=0, i<n; i++){ if (a[i] == 0) return 0; } return 1; }
"visited" (added to the stack) during a depth-first search Figure 2: The graph for Problem 2.
"visited" (added to the stack) during a depth-first search Figure 2: The graph for Problem 2.
PYTHON: Im stuck here, big O notation and runtime. What is it and Why are they...
PYTHON: Im stuck here, big O notation and runtime. What
is it and Why are they those? Please look at the pic, need help as
Im confused. Thank You!
def method3(n): for i in range(n): for j in range(100): for k in range(n): print(i+j+k) What is the runtime (tightest/closest bound in terms of O) for the above python function (method 3)? Please briefly explain. Enter your answer here def method4(n): for i in range(n): for j in range(n, o, -2):...
Show that the tree height of a height-balanced binary search tree with n nodes is O(log...
Show that the tree height of a height-balanced binary search tree with n nodes is O(log n). (Hint: Let T(h) denote the fewest number of nodes that a height-balanced binary search tree of height h can have. Express T(h) in terms of T(h-1) and T(h-2). Then, find a lower bound of T(h) in terms of T(h-2). Finally, express the lower bound of T(h) in terms of h.)
From the code below with Binary Search Tree recurrence T(n)=? use the recursion method and substitution method to solve the recurrence. Find the tightest bound g(n) for T(n) you can for which T(n)= O(...
From the code below with Binary Search Tree recurrence T(n)=?
use the recursion method and substitution method to solve the
recurrence. Find the tightest bound g(n) for T(n) you can for which
T(n)= O(g(n)). Explain your answer and use recursion tree
method.
void insert(int data) {
struct node *tempNode = (struct node*) malloc(sizeof(struct node));
struct node *current;
struct node *parent;
tempNode->data = data;
tempNode->leftChild = NULL;
tempNode->rightChild = NULL;
//if tree is empty
if(root == NULL) {
root = tempNode;...
For each of the following, give the Big-O time and explain your answer: a. Breadth-first search/traversal...
For each of the following, give the Big-O time and explain your answer: a. Breadth-first search/traversal using an adjacency matrix. b. Breadth-first search/traversal using an adjacency list. c. Depth-first search/traversal using an adjacency matrix. d. Depth-first search/traversal using an adjacency list.
Data Structures and Algorithms What is the: a. maximum number of levels that a binary search...
Data Structures and Algorithms What is the: a. maximum number of levels that a binary search tree with 100 nodes can have? b. minimum number of levels that a binary search tree with 100 nodes can have? c. maximum total number of nodes in a binary tree that has N levels? (Remember that the root is level 0.) d. maximum number of nodes in the Nth level of a binary tree? e. number of ancestors of a node in the...
Prove that the height of an AVL tree is bound by O(logn). and What is the...
Prove that the height of an AVL tree is bound by O(logn). and What is the least number of nodes in an AVL tree of height 25? (all work on both questions provided)
what is the big-o for an operation that determines the number of items in a stack...
what is the big-o for an operation that determines the number of items in a stack data structure?
"visited" (added to the stack) during a depth-first search Figure 2: The graph for Problem 2.
PYTHON: Im stuck here, big O notation and runtime. What
is it and Why are they those? Please look at the pic, need help as
Im confused. Thank You!
def method3(n): for i in range(n): for j in range(100): for k in range(n): print(i+j+k) What is the runtime (tightest/closest bound in terms of O) for the above python function (method 3)? Please briefly explain. Enter your answer here def method4(n): for i in range(n): for j in range(n, o, -2):...
From the code below with Binary Search Tree recurrence T(n)=?
use the recursion method and substitution method to solve the
recurrence. Find the tightest bound g(n) for T(n) you can for which
T(n)= O(g(n)). Explain your answer and use recursion tree
method.
void insert(int data) {
struct node *tempNode = (struct node*) malloc(sizeof(struct node));
struct node *current;
struct node *parent;
tempNode->data = data;
tempNode->leftChild = NULL;
tempNode->rightChild = NULL;
//if tree is empty
if(root == NULL) {
root = tempNode;...
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