Implement Inorder, preorder and postorder tree traversal techniques.Unlike linear data structures (Array, Linked List, Queues, Stacks, etc) which have only one logical way to traverse them, trees can be traversed in different ways. The following are the generally used methods for traversing trees:INORDER TRAVERSAL:Traverse the left subtree, i.e., call Inorder(left->subtree)Visit the root.Traverse the right subtree, i.e., call Inorder(right->subtree)PREORDER TRAVERSAL:Visit the root.Traverse the left subtree, i.e., call Preorder(left->subtree)Traverse the right subtree, i.e., call Preorder(right->subtree)Postorder Traversal:Traverse the left subtree, i.e., call Postorder(left->subtree)Traverse the right subtree, i.e., call Postorder(right->subtree)Visit the rootInput Format:The input consists of two lines:The first line contains the number of nodes in the binary tree.The second line contains the values of the nodes, separated by spaces, representing the binary tree.Output Format:First Line contains the Inorder TraversalSecod Line contains the Preorder TravesalThird Line contains th Postorder Traversal Sample input6 5 3 8 1 4 10Sample output1 3 4 5 8 10 5 3 1 4 8 10 1 4 3 10 8 5
Question
Implement Inorder, preorder and postorder tree traversal techniques.Unlike linear data structures (Array, Linked List, Queues, Stacks, etc) which have only one logical way to traverse them, trees can be traversed in different ways. The following are the generally used methods for traversing trees:INORDER TRAVERSAL:Traverse the left subtree, i.e., call Inorder(left->subtree)Visit the root.Traverse the right subtree, i.e., call Inorder(right->subtree)PREORDER TRAVERSAL:Visit the root.Traverse the left subtree, i.e., call Preorder(left->subtree)Traverse the right subtree, i.e., call Preorder(right->subtree)Postorder Traversal:Traverse the left subtree, i.e., call Postorder(left->subtree)Traverse the right subtree, i.e., call Postorder(right->subtree)Visit the rootInput Format:The input consists of two lines:The first line contains the number of nodes in the binary tree.The second line contains the values of the nodes, separated by spaces, representing the binary tree.Output Format:First Line contains the Inorder TraversalSecod Line contains the Preorder TravesalThird Line contains th Postorder Traversal Sample input6 5 3 8 1 4 10Sample output1 3 4 5 8 10 5 3 1 4 8 10 1 4 3 10 8 5
Solution
Here is a Python implementation of Inorder, Preorder, and Postorder tree traversal techniques:
class Node:
def __init__(self, key):
self.left = None
self.right = None
self.val = key
def printInorder(root):
if root:
printInorder(root.left)
print(root.val),
printInorder(root.right)
def printPreorder(root):
if root:
print(root.val),
printPreorder(root.left)
printPreorder(root.right)
def printPostorder(root):
if root:
printPostorder(root.left)
printPostorder(root.right)
print(root.val),
# Driver code
root = Node(5)
root.left = Node(3)
root.right = Node(8)
root.left.left = Node(1)
root.left.right = Node(4)
root.right.right = Node(10)
print("Inorder traversal of binary tree is")
printInorder(root)
print("\nPreorder traversal of binary tree is")
printPreorder(root)
print("\nPostorder traversal of binary tree is")
printPostorder(root)
This code first creates a binary tree with the given nodes. Then it prints the Inorder, Preorder, and Postorder traversals of the tree. The printInorder, printPreorder, and printPostorder functions are recursive, and they print the left subtree, the root, and the right subtree in different orders according to the traversal technique.
Similar Questions
Which of the following traversal methods can be used to obtain a sorted sequence of elements in a binary search tree?PreorderPostorderLevel orderInorder
What does an inorder traversal of a binary tree involve?Select one:a. Visiting each node twice, first the left and then the right child.b. Visiting the right subtree, the node itself, and then the left subtree.c. Visiting the left subtree, the node itself, and then the right subtree.d. Visiting the node itself, the left subtree, and then the right subtree.
With suitable example explain various types of tree traversal methods.
What is in-order traversal?left subtree is visited first, then the right subtree and finally the root nodethe root node is visited first, then the left subtree and finally the right subtreethe left subtree is visited first, then the root and later the right sub-tree
The inorder and preorder traversal of a binary tree are Inorder: d b e a p q r PreOrder: a b d e q p r The postorder traversal of the binary tree is: (A) d e b p r q a (B) e d b r p q a (C) e d b p r q a (D) d e p r b q a
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