What is the space complexity of a recursive implementation of a binary tree trav

What is the space complexity of a recursive implementation of a binary tree traversal?

What is the space complexity of a recursive implementation of a binary tree traversal?

Step 1: Understand what space complexity means. It refers to the amount of memory used by an algorithm as the size of the input grows.
Step 2: Recognize that a binary tree has nodes, and the number of nodes is represented by 'n'.
Step 3: Identify that a recursive function uses a call stack to keep track of function calls.
Step 4: Realize that in the worst case, the depth of the recursion can go as deep as the number of nodes in the tree, especially in a skewed tree.
Step 5: Conclude that the maximum space used by the recursion stack is proportional to the number of nodes, which is 'n'.
Step 6: Therefore, the space complexity of a recursive binary tree traversal is O(n).

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