I have attached the file below!! Question 1 (25 pts): Figure 1 An AVL tree 1: Redraw the tree after insert 43 in the AVL tree of Figure 1. The resulting tree must be an AVL tree. 2: What is the Original Papers

I have attached the file below!!

Question 1 (25 pts):  

Figure 1 An AVL tree 

1: Redraw the tree after insert 43 in the AVL tree of Figure 1. The resulting tree must be an AVL tree.

2: What is the balance factor at the root node after the insertion? 

Question 2 (25 pts):  

Figure 2 A B-Tree of order 5 

Using the B-tree in Figure 2,

(a)     Redraw the tree after inserting 74.

(b)     Redraw the tree after inserting 33 to the tree in (a).

(c)     Redraw the tree after inserting 56 to the tree in (b).

Question 3 (25 pts):  

Figure 3 Another B-Tree of order 5 

Using the B-tree in Figure 3;

(a)     Redraw the tree after deleting 22.

(b)     Redraw the tree after deleting 16 from the tree in (a).

(c)     Redraw the tree after deleting 4 from the tree in (b).

Question 4 (25 pts):  

Rewrite function searchNode(copied below) in B-tree class(bTree.h) by using binary search to search the node. Write a C++ code to ask user to enter a positive integer list ending with -999, build a b-tree of order 5. Also, ask the user to enter a number to search and display if the number is found in the tree.

Submit the source code, and copy and paste the screenshot of the output here.

template  

void bTree::searchNode 

(bTreeNode* current, 

const recType& item, 

bool& found, int& location) 

{ 

found = false; 

int low = 0; 

int high = current->recCount – 1; 

while (low <= high) { 

                              int mid = (high – low) / 2; 

if (item == current->list[mid]) 

{               

found == true; 

location = mid; 

} 

else if (item < current->list[mid]) 

high = mid – 1; 

else 

low = mid + 1; 

}               

}