Question
In: Computer Science
Data structure Give three distinct binary search trees for the following data: 1 2 3 4...
Data structure
- Give three distinct binary search trees for the following data: 1 2 3 4 5 6 7. One of these trees must have minimum height and another must-have maximum height.
- Draw the BSTs that result from each sequence of add operations. (2) a. 10, 20, 30, 40 b. 30, 20, 40, 10 c. 20, 10, 30, 40
Solutions
Expert Solution
Binary Search Tree: We know, a BST is a binary tree with one special property: All nodes on the left of a node is smaller and all on the right is larger than the node itself.
Given data: 1, 2, 3, 4, 5, 6, 7
Random BST:
BST with minimum height:
BST with maximum height:
*********************
For the second part, drawing a BST after every insertion will be extremely strenous. So instead, I'll try to write it in texts.
2 a
Insert 10
BST:
10
Insert 20
BST:
10
20
Insert 30
BST:
10
20
30
Insert 40
BST:
10
20
30
40
2 b
Insert 30
BST:
30
Insert 20
BST:
30
20
Insert 40
BST:
30
20 40
Insert 10:
BST:
30
20 40
10
2 c
Insert 20
BST:
20
Insert 10
BST:
20
10
Insert 30
BST:
20
10 30
Insert 40
BST:
20
10 30
40
In case of any doubt drop a comment and I'll surely get back to you.
Please give a like if you're satisfied with the answer. Thank you.
venereology answered 1 month agoRelated Solutions
Data structure Give three distinct binary search trees for the following data: 1 2 3 4...
Data structure
Give three distinct binary search trees for the
following data: 1 2 3 4 5 6 7. One of these trees must
have minimum height and another must-have maximum height.
Draw the BSTs that result from each sequence of add operations.
(2) a. 10, 20, 30, 40 b. 30, 20, 40, 10 c. 20, 10, 30, 40
Considering the following different search trees, binary search trees, AVL trees, red-black trees, and others. Compare...
Considering the following different search trees, binary search
trees, AVL trees, red-black trees, and others. Compare their
advantages and disadvantages, running times, etc
Question 1: Processing Compound Data: Binary Trees A binary tree is a tuple with the following...
Question 1:
Processing Compound Data: Binary Trees
A binary tree is a tuple with the following recursive
structure
("btree", [val, left_tree, right_tree])
where first part of the tuple is a string "btree" and
second part of the tuple is a list in which val is the value at the
root and left_tree and right_tree are the binary trees for the left
and right children or
("btree",[]) for the empty
tree.
(A)
Implement a binary tree ADT.
Type Name Description
Create...
Binary Search Trees with Lazy Deletion Implement binary search tree class with lazy deletion that has...
Binary Search Trees with Lazy Deletion
Implement binary search tree class with lazy deletion that has
TreeNode as nested class in Java.
Design the class, TreeNode to have following class
variables:
int key; // All Keys are in the range 1 to 99
TreeNode leftChild;
TreeNode rightChild;
boolean deleted;
Your program method must have routines to do the following
operations.
1. insert
//Should insert a new element to a leaf node. If new element is
aduplicatethen do nothing. If the...
Prerequisite Knowledge Understand binary search tree structure Understand binary search tree operations Understand binary search tree...
Prerequisite Knowledge
Understand binary search tree structure
Understand binary search tree operations
Understand binary search tree worst case and best case
time.
Learning Outcomes
Describe AVL tree structure
Trace and implement AVL tree operations
Explain and prove AVL tree performance
In C++, dealing with Binary Search trees. Implement search, insert, removeLeaf, and removeNodeWithOneChild methods in BST.h....
In C++, dealing with Binary Search trees. Implement search,
insert, removeLeaf, and removeNodeWithOneChild methods in BST.h.
BST.h code below. CPP code also provided for reference, nothing to
be changed on cpp code.
#include
#include "BSTNode.h"
using namespace std;
#ifndef BST_H_
#define BST_H_
class BST {
public:
BSTNode *root;
int size;
BST() {
root = NULL;
size = 0;
}
~BST() {
if (root != NULL)
deepClean(root);
}
BSTNode *search(int key) { // complete this method
}
BSTNode *insert(int val) {...
In C++, dealing with Binary Search trees. Implement search, insert, removeLeaf, and removeNodeWithOneChild methods in BST.h....
In C++, dealing with Binary Search trees. Implement search,
insert, removeLeaf, and removeNodeWithOneChild methods in BST.h.
BST.h code below
#include <iostream>
#include "BSTNode.h"
using namespace std;
#ifndef BST_H_
#define BST_H_
class BST {
public:
BSTNode *root;
int size;
BST() {
root = NULL;
size = 0;
}
~BST() {
if (root != NULL)
deepClean(root);
}
BSTNode *search(int key) { // complete this method
}
BSTNode *insert(int val) { // complete this method
}
bool remove(int val) { // complete this...
In C++, dealing with Binary Search trees. Implement search, insert, removeLeaf, and removeNodeWithOneChild methods in BST.h....
In C++, dealing with Binary Search trees. Implement search,
insert, removeLeaf, and removeNodeWithOneChild methods in BST.h.
BST.h code below
#include <iostream>
#include "BSTNode.h"
using namespace std;
#ifndef BST_H_
#define BST_H_
class BST {
public:
BSTNode *root;
int size;
BST() {
root = NULL;
size = 0;
}
~BST() {
if (root != NULL)
deepClean(root);
}
BSTNode *search(int key) { // complete this method
}
BSTNode *insert(int val) { // complete this method
}
bool remove(int val) { // complete this...
Derive a recurrence for the number of degenerate binary search trees that can be generated from...
Derive a recurrence for the number of
degenerate binary search trees that can be generated from
a given sequence of n distinct elements. Recall that
degenerate binary search tree contains no branches and thus is
structurally similar to a linked list.
You must make an argument to justify each component of your
recurrence. Remember that all recurrences have base cases so do not
forget to include a base case.
Research the topic of binary search trees. Write a brief summary of your understanding of this....
Research the topic of binary search trees. Write a brief summary
of your understanding of this. Design a simple program, using
pseudocode, that performs a search of a binary search tree.. In
your own words, explain how a binary search tree works using graph
theory terminology. Construct a binary search tree for any
alphabetically ordered list of five words. Represent it visually as
a graph. Discuss any characteristics you note about the graph you
created in part (d). In your...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- 23- Celsius Corp. is conducting a capital budgeting analysis to decide whether to invest in a...
- Using energy level diagrams, predict the relative stability of a Br2 molecule as well as the...
- A 0.0038 kg leaf falls 16.8 m to the ground, where it lands with a speed...
- Problem 1: In the figure to the right, m1=20.0kg and α=53.1o . The coefficient of kinetic...
- A palindrome is a string whose reversal is identical to the string. For example, 110010011 is...
- Explain how the shape of the load duration curve for a particular system affects the selection...
- For physics discussion post. Please TYPE the response as I struggle with reading written information. Explain...
ADVERTISEMENT