Given a perfect binary treeA binary tree in which all the levels are completely filled with nodes, and all leaf nodes (nodes with no children) are at the same level., where each node contains an additional pointer called next. This pointer is initially set to NULL for all nodes. Your task is to connect all nodes of the same hierarchical level by setting the next pointer to its immediate right node.

The next pointer of the rightmost node at each level is set to NULL.

Constraints:

• The number of nodes in the tree is in the range $[0, 500]$.
• $-1000 \leq$ Node.data $\leq 1000$

So far, you’ve probably brainstormed some approaches and have an idea of how to solve this problem. Let’s explore some of these approaches and figure out which one to follow based on considerations such as time complexity and any implementation constraints.

The naive approach to establishing connections between nodes at the same level in a binary tree is to utilize a queue data structure and perform a level order traversal. The steps of the algorithm are given below:

1. Start with the root node of the binary tree.
2. Create an empty queue data structure to perform the breadth-first traversal. Enqueue the root node into the queue.
3. While the queue is not empty, perform the following steps:
   • Initialize a variable, level_size, to the current size of the queue (number of nodes in the current level).
   • Traverse through each node in the current level (equal to level_size):
     • Dequeue the front node from the queue and call it the current_node.
     • If i (current index in the level) is less than level_size - 1, set the next pointer of current_node to the first node in the queue (front of the queue)