Diameter of Binary Tree in DSA Go - Cheat Sheet & Quick Revision

Recall & Review

beginner

What is the diameter of a binary tree?

The diameter of a binary tree is the length of the longest path between any two nodes in the tree. This path may or may not pass through the root.

intermediate

How do you calculate the diameter of a binary tree using recursion?

Calculate the height of left and right subtrees for each node. The diameter at that node is left height + right height. The overall diameter is the maximum of these values for all nodes.

intermediate

Why do we use a helper function to calculate height and diameter together?

Using a helper function allows us to calculate the height of subtrees and update the diameter at the same time, avoiding repeated calculations and improving efficiency.

intermediate

What is the time complexity of the diameter of binary tree algorithm using a single traversal?

The time complexity is O(n), where n is the number of nodes, because each node is visited once during the traversal.

beginner

In Go, what data structure is commonly used to represent a binary tree node?

A struct with fields for the node's value and pointers to left and right child nodes is used to represent a binary tree node in Go.

What does the diameter of a binary tree represent?

A The longest path between any two nodes

B The height of the tree

C The number of leaf nodes

D The number of nodes in the tree

The diameter is the longest path between any two nodes in the tree.

Which of these is needed to compute the diameter at a node?

A Number of children nodes

B Only the height of the left subtree

C Only the height of the right subtree

D Sum of heights of left and right subtrees

Diameter at a node = left subtree height + right subtree height.

What is the best time complexity to find the diameter of a binary tree?

A O(log n)

B O(n^2)

C O(n)

D O(1)

Using a single traversal, the diameter can be found in O(n) time.

In Go, how do you represent a binary tree node?

A Using an array

B Using a struct with value and pointers to left and right nodes

C Using a map

D Using a slice

A struct with fields for value and pointers to left and right child nodes is used.

Why is a helper function useful in diameter calculation?

A To calculate height and update diameter in one traversal

B To print the tree

C To sort the nodes

D To delete nodes

It helps calculate height and update diameter simultaneously, improving efficiency.

Explain how to find the diameter of a binary tree using recursion.

Think about how height and diameter relate at each node.

Describe the structure of a binary tree node in Go and how it supports diameter calculation.

Focus on how the node connects to its children.