Close
Topic list
Boundary Traversal of Binary Tree
HARD
20 mins
Other topics
Problem solved
Skill meter
Strings
-
-
Matrices (2D Arrays)
-
-
-
-
Sorting
-
-
Binary Search
-
-
Stacks & Queues
-
-
Trees
-
-
Graph
-
-
Dynamic Programming
-
-
Greedy
-
-
Tries
-
-
Arrays
-
-
SQL
-
-
Binary Search Trees
-
-
Heap
-
-
Bit Manipulation
-
-
Solve problems & track your progress
Checkout your overall progress in every topic here
Become
Sensei
in DSA topics
Open the topic and solve more problems associated with it to improve your skills
Check out the skill meter for every topic
See how many problems you are left with to solve for cracking any stage. Score more than zero to get your progress counted.

# Boundary Traversal of Binary Tree

Contributed by
Prashansa
Hard
0/120
Avg time to solve 20 mins
Success Rate 85 %
Share

## Problem Statement

#### You have been given a binary tree of integers. Your task is to print the boundary nodes of this binary tree in Anti-Clockwise direction starting from the root node.

##### NOTE:
``````The boundary nodes of a binary tree include nodes from the left boundary, right boundary and the leaf nodes without duplicate nodes. However, the values from the nodes may contain duplicates.
``````
##### For Example:

Detailed explanation ( Input/output format, Notes, Constraints, Images )
##### Sample Input 1:
``````2
1 2 3 4 -1 5 -1 -1 -1 -1 -1
1 2 -1 3 -1 4 -1 -1 -1
``````
##### Sample Output 1:
``````1 2 4 5 3
1 2 3 4
``````
##### Explanation of Sample Input 1:
``````For the first test case, we have 1 as the root node. 2, 4 as left boundary nodes. 3, 5 as the right boundary nodes. We don't have any leaf nodes.

For the second test case, we have 1 as the root node. 2, 3 as the left boundary nodes and 4 as a leaf node. We don't have any right boundaries.
``````
##### Sample Input 2:
``````1
1 2 3 4 5 6 7 -1 -1 -1 -1 -1 -1 -1 -1
``````
##### Sample Output 2:
``````1 2 4 5 6 7 3
``````
Auto
Console