Difference between complete and full binary tree
As we all know that the binary tree is a tree it contains one or two children at each other node.
It contains two children's nodes in the Binary tree. The Binary tree function contains A binary tree's children are labelled "left" or "right." There is a link between the parents to their node.
A full binary tree that contains of a basic every level of the binary tree that will expect the lowest the last level that filled totally.
The nodes in the empty level are linked starting from the far left.
Another tree is a complete binary tree that is one of which every node; it consists of an exception that has two children of the tree's leaves.
What is the mean of the full binary tree?
As we know that the full Binary tree is a type of the binary tree with two or more offspring for each parent node or the internal node.
It is named as the proper binary tree to it.
A complete binary tree is defined as the any tree consists of the zero or two of the children at their node.
In other words, except for the leaves, every node in the tree has precisely two children.
In a full binary tree that contains the specific number of the nodes (n), number of the leaves as (l), and the number of the internal nodes (I) that are related with each other in such a way that it is defined in way that any of the function that determine as they follow:
1. If a binary tree as a whole contains I internal nodes, then the number of leaves is l = i+1.
- Total node count n = 2*i+1
2. Given an n-node binary tree:
- Internal node count I = (n-1)/2
- The number of leaves is l=(n+1)/2.
3. If a complete binary tree contains l leaves, then:
- Total node count n=2*l-1
- Internal node count I = l-1
//code implementation
// Checking if a binary tree is a full binary tree in Java
class Demo {
int data1;
Node leftChildd, rightChildd;
Node(int item) {
Data1 = item1;
leftChildd = rightChildd = NULL;
}
}
class BinaryTreee {
Node root1;
// let's Check for the Full Binary Tree as
boolean isFullBinaryTree(Node node) // for boolean terms
{
// for checking the tree emptiness
if (node1 ==NULL)
return true;
// for checking the children function
if (node.leftChildd== NULL && node.rightChildd == NULL) // left & right
return true; // return if true
if ((node.leftChildd != NULL) && (node.rightChildd != NULL)) // left & right
return (isFullBinaryTreee(node.leftChildd) && isFullBinaryTreee(node.rightChildd)); return false; // return if false
}
public static void main(String args[]) { // main function
BinaryTree treee1 = new BinaryTree();
treee.root1 = new Node(7);
treee.root1.leftChildd = new Node(6);
treee.root1.rightChildd = new Node(5);
treee.root1.leftChildd.leftChildd = new Node(4);
treee.root1.leftChildd.rightChildd = new Node(3);
treee.root1.rightChildd.leftChildd = new Node(2);
treee.root1.rightChildd.rightChildd = new Node(1);
if (tree.isFullBinaryTree(tree.root1))
System.out.print(" it is a full binary tree function");
else
System.out.print(" it is not a full binary tree function");
}
}What is the complete binary tree?
A Binary Tree is which is completed if all the levels except in terms of the final are completely filled with respect to the binary tree, and the last level which may include all the possible keys as far to the left node as possible.
Furthermore, nodes should be connected starting from the far left most position in the final level.
Aa the full binary tree which represents the height h that must be satisfied the following rules or the policies: - The level that are above the final level which represents the complete binary tree of the height h-1 that starts from the root node.
- the final level that may contains the final one or the more nodes which have the 0 or the 1 children.
- there are two nodes in the level which a and b are in their terms of their previous level that contains more children from left to the right.
How complete binary tree is created?
As the root node, choose the first item on the list. (Level I element count: 1)
Create a complete binary tree
Choose the first element as the root.
As we know that the full Binary tree is a type of the binary tree with two or more offspring for each parent node or the internal node.
It is named as the proper binary tree to it.
A complete binary tree is defined as the any tree consists of the zero or two of the children at their node.
In other words, except for the leaves, every node in the tree has precisely two children.
In a full binary tree that contains the specific number of the nodes (n), number of the leaves as (l), and the number of the internal nodes (I) that are related with each other in such a way that it is defined in way that any of the function that determine.
We have to keep the second element that will be the root node's left children and the third element will be the root node's right child. (Level II element count: 2)
Create a complete binary tree
12 for the left child and 9 for the right youngster
Put the next two items as children of the second level's left node.
Put the next two elements as children of the second level's right node (no. of elements on level-III: 4) elements.
Continue until you reach the final ingredient.
// Checking if the binary tree is a complete binary tree in the Java
// for creating the node
class Demo1 {
int dataset1;
Node left1, right1;
Node(int item1) {
dataset = item1;
left1 = right1 = NULL;
}
}
class BinaryTree2t {
Node root2;
// Counting the number of the nodes
int countNumNodes(Node root) {
if (root2 == NULL)
return (0);
return (1 + countNumNodes(root2.leftt) + countNumNodes(root2.rightt));
}
// Checking for the complete binary tree
boolean checkComplete(Node root3, int pos, int numberNodes) {
// Check if the tree is empty or not
if (root3 == NULL)
return true; // returns the true value
if (pos >= numberNodes)
return false; // returns the true value
return (checkComplete(root2.left1, 2 * pos + 1, numberNodes1)
&& checkComplete(root1.right1, 2 * pos + 2, numberNodes1));
}
public static void main(String args[]) {
BinaryTree treee1 = new BinaryTree();
tree.root1 = new Node(6);
tree.root1.left1= new Node(5);
tree.root1.left1 = new Node(4);
tree.root1.left1.rightt = new Node(3);
tree.root1.left1.leftt = new Node(2);
tree.root1.right1.leftt = new Node(1);
int node_count = tree.countNumNodes(tree.root);
int pos = 0;
if (tree.checkComplete(tree.root1, pos, node_count))
System.out.println("the binary tree is complete");
else
System.out.println("the binary tree is not a complete ");
}
}
Difference between the complete binary tree and the full binary tree
The complete binary trees have the distinct difference among them.
Some specific data structures, such as heaps, must be entire binary trees, but others do not.
If you have the total number of the nodes, they have the number of leaves, or the they may contain the number of internal nodes in the complete binary tree, that can be simplified into the other two.
However, a full binary tree lacks a specific trait that connects these three properties.
The binary tree displayed below is not a complete or full binary tree.
Because node 3 has just one child, it is not a complete binary tree.
It is also not a full binary tree because the nodes should be filled from left to right, however node 3 has a right child but no left child.
A node in the final level of a full binary tree can only have one child.
A node in a complete binary tree can only have one child.
The node in a full binary tree should be filled from left to right.
A complete binary tree has no order of filling nodes.
In heap-based data structures, complete binary trees are commonly utilized.
A full binary tree has no use in and of itself, although it is also known as a valid binary tree.
Sometimes a full binary tree that can be known as the complete binary tree. A full binary tree is also known as a suitable binary tree or a 2-tree.There can be the whole leaves of the node in the full binary tree it has been same depth. The leaf level of a complete binary tree does not have to be at the same depth.
A complete binary tree with two children till the second final piece. and the last element may contain one child, but it must be on the left side.