Level order traversal of a tree is breadth first traversal for the tree.
Level order traversal of the above tree is 1 2 3 4 5
Recommended: Please solve it on “PRACTICE” first,
before moving on to the solution.
METHOD 1 (Use function to print a given level)
Algorithm:
There are basically two functions in this method. One is to print all nodes at a given level (printGivenLevel), and other is to print level order traversal of the tree (printLevelorder). printLevelorder makes use of printGivenLevel to print nodes at all levels one by one starting from root.
/*Function to print level order traversal of tree*/
printLevelorder(tree)
for d = 1 to height(tree)
printGivenLevel(tree, d);
/*Function to print all nodes at a given level*/
printGivenLevel(tree, level)
if tree is NULL then return;
if level is 1, then
print(tree->data);
else if level greater than 1, then
printGivenLevel(tree->left, level-1);
printGivenLevel(tree->right, level-1);
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# Recursive Python program for level order traversal of Binary Tree
# A node structure
class Node:
# A utility function to create a new node
def __init__(self, key):
self.data = key
self.left = None
self.right = None
# Function to print level order traversal of tree
def printLevelOrder(root):
h = height(root)
for i in range(1, h+1):
printGivenLevel(root, i)
# Print nodes at a given level
def printGivenLevel(root , level):
if root is None:
return
if level == 1:
print "%d" %(root.data),
elif level > 1 :
printGivenLevel(root.left , level-1)
printGivenLevel(root.right , level-1)
""" Compute the height of a tree--the number of nodes
along the longest path from the root node down to
the farthest leaf node
"""
def height(node):
if node is None:
return 0
else :
# Compute the height of each subtree
lheight = height(node.left)
rheight = height(node.right)
#Use the larger one
if lheight > rheight :
return lheight+1
else:
return rheight+1
# Driver program to test above function
root = Node(1)
root.left = Node(2)
root.right = Node(3)
root.left.left = Node(4)
root.left.right = Node(5)
print "Level order traversal of binary tree is -"
printLevelOrder(root)
#This code is contributed by Nikhil Kumar Singh(nickzuck_007)
Output:
Level order traversal of binary tree is -
1 2 3 4 5
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