Print Bottom view of binary tree
Printing the bottom view of a binary tree refers to printing the nodes that are visible when viewed from the bottom of the tree. In other words, it is the set of nodes that would appear if we were to look at the binary tree from below, with the root node at the top and the leaves at the bottom.
To print the bottom view of a binary tree, we need to determine the horizontal distance of each node from the root node. Nodes that are at the same horizontal distance from the root node will appear in the same vertical line when viewed from below. The bottom view of the tree will then be the set of nodes that appear in the last vertical line(s) from left to right.
In some cases, a binary tree may have multiple nodes at the same horizontal distance from the root node. In such cases, the bottom view would consist of the node that is the farthest from the root node in that horizontal distance.
Printing the bottom view of a binary tree can be useful in various applications, such as visualizing the tree structure and analyzing its properties.
In this post mentioning two solution which is used to print bottom view of binary tree.
Using sorted list
We can use a linked list which is store only horizontal distance element. Here given code implementation process.
-
1) Bottom view of binary tree using sorted list in java
2) Bottom view of binary tree using sorted list in c++
3) Bottom view of binary tree using sorted list in golang
4) Bottom view of binary tree using sorted list in c#
5) Bottom view of binary tree using sorted list in vb.net
6) Bottom view of binary tree using sorted list in php
7) Bottom view of binary tree using sorted list in node js
8) Bottom view of binary tree using sorted list in typescript
9) Bottom view of binary tree using sorted list in python
10) Bottom view of binary tree using sorted list in ruby
11) Bottom view of binary tree using sorted list in scala
12) Bottom view of binary tree using sorted list in swift
13) Bottom view of binary tree using sorted list in kotlin
14) Bottom view of binary tree using sorted list in c
Time complexity of above solution is O(n^2)
Using collection
-
1) Print bottom view of binary tree using hashmap in java
2) Print bottom view of binary tree using map in c++
3) Print bottom view of binary tree using map in golang
4) Print bottom view of binary tree using dictionary in c#
5) Print bottom view of binary tree using dictionary in vb.net
6) Print bottom view of binary tree using array in php
7) Print bottom view of binary tree using map in node js
8) Print bottom view of binary tree using map in typescript
9) Print bottom view of binary tree using dictionary in python
10) Print bottom view of binary tree using hash in ruby
11) Print bottom view of binary tree using HashMap in scala
12) Print bottom view of binary tree using map in swift
13) Print bottom view of binary tree using map in kotlin
Please share your knowledge to improve code and content standard. Also submit your doubts, and test case. We improve by your feedback. We will try to resolve your query as soon as possible.
New Comment