amirmasp / PerfectBinaryTree

Implementation of a PerfectBinaryTree (PBT) Data Structure from scratch:

PerfectBinaryTree.hpp:

This header file is collection of Interfaces to solve problems with PBT DS.

Note: A Binary Tree is Perfect, if all Internal Nodes have 2 Children and all Leaf Nodes are at the same Level.

main.cpp:

TheNumberOfNodes is the number of Nodes that will be encapsulated in this->PerfectBinaryTree Object.

TODO: Only accept input n if n belongs to A = {3, 7, 15, 31, 63, ..., log(n-1)}.

maxl is maximum level of the BT.

maxl = log2(n+1) , assume n = 31 = log2(31+1) = log2(32) = 5 Thus for n = 31, the maximum level of this PerfectBinaryTree is 5

TreeNode.hpp:

n TreeNode Objects are used to create this->PBT.

TODO: Make the nodes bidirectional (use doubly Linked list nodes).

PerfectBinaryTree.cpp:

The PBT object has members for traversing purpose inside itself.

- DFS(Depth First Search) Traversal Algorithms are all implemented in recursive fashion:

1- PreorderTraversal

2- InorderTraversal

3- PostorderTraversal

- BFS(Breadth First Search) Traversal Algorithms are implemented using queue DS:

1- LevelByLevelTraversal: Returns a vector of nodes visited from left to right

2- LevelorderTraversal: Returns a vector separated by its level

so we can get the Level of the tree by : vec.size()

Run the program in command line:

$ g++ main.cpp PerfectBinaryTree.cpp -o main

./main