Question: You are given a binary tree as shown below. Design an algorithm to find the nearest node with value 0 from the root and return

You are given a binary tree as shown below. Design an algorithm to find the nearest node with value 0 from the root and return its distance. If there are no zero nodes, return -1.
a. Write a pseudocode of your algorithm.
b. Write the recurrence relation that defines the complexity T(n) of your algorithm.
c. Solve the recurrence relation to find the complexity of your algorithm.

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