Answer
See the explanation
Work Step by Step
To implement the recursive tree-printing algorithm, we start by defining the base case and recursive steps. Then, we call the function recursively for each child node. Here's how the nested activations of the algorithm would look like when printing node \(X_i\):
1. Initially, the algorithm is called with the root node \(X_0\).
2. When printing node \(X_i\), the algorithm checks if \(X_i\) has any children.
3. If \(X_i\) has children, the algorithm recursively calls itself for each child node of \(X_i\).
4. This process continues until all nodes are printed.
To represent the nested activations visually, we can draw a tree diagram where each node represents a function call of the algorithm. Each node will have child nodes representing recursive calls to print the children of the current node.
Here's an example diagram representing the nested activations of the algorithm at the time node \(X_i\) is printed:
```
X_0
/ | \
X_1 X_2 X_3
|
X_i
```
In this diagram:
- \(X_0\) represents the initial call to the algorithm with the root node.
- \(X_1\), \(X_2\), and \(X_3\) represent the recursive calls to print the children of \(X_0\).
- \(X_i\) represents the current position in each activation when printing node \(X_i\).
