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 2 months agoRelated Solutions
Data structure Give three distinct binary search trees for the following data: 1 2 3 4...
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Draw the BSTs that result from each sequence of add operations.
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#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;
}
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#define BST_H_
class BST {
public:
BSTNode *root;
int size;
BST() {
root = NULL;
size = 0;
}
~BST() {
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deepClean(root);
}
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}
BSTNode *insert(int val) { // complete this method
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#include <iostream>
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#ifndef BST_H_
#define BST_H_
class BST {
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BSTNode *root;
int size;
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root = NULL;
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}
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