**HW3**Given this Tree T, answer the following questions:The diagram is a hierarchical tree structure with nodes containing words. It visualizes a tree with the following structure:- The root node contains the word "hat".- The root splits into three branches: - The left branch leads to the node "lit". - From "lit", a branch goes down to "sun". - "sun" further branches into two nodes: "nap" and "sat". - The middle branch connects directly to the node "cap". - The right branch extends to the node "cat". - From "cat", a branch leads to the node "pup".This tree can represent hierarchical relationships or categorization of simple words for the purpose of the homework assignment. ### Analyzing the Mystery Code#### Problem Statement:Given the following code, what will we output for `mystery(T)`?#### Code Explanation:```javapublic static void mystery(TreeNode node) { List> children = node.getChildren(); for (int i = 1; i < children.size(); i++) { TreeNode child = children.get(i); System.out.println(child.getValue()); mystery(child); }}```#### Understanding the Code:This Java method, `mystery`, is designed to operate on a tree data structure where each node has a string value and can have multiple child nodes.1. **Function Signature:** - The method `mystery` is a static void function that takes a single parameter, a `TreeNode` object named `node`.2. **Retrieving Children:** - The method retrieves all children of the current `node` using `getChildren()`, storing them in a list.3. **Loop through Children:** - A for-loop iterates over the `children` list, starting from index 1 (second child) to the end of the list. - This loop skips the first child (index 0).4. **Print and Recur:** - For each child, the code prints the child's string value using `System.out.println(child.getValue())`. - It then recursively calls the `mystery` method on that child.#### Key Points:- **Recursion:** This method uses recursion to traverse the tree, but only for the children starting from the second one in the list.- **Output:** The output of the method will be the values of the nodes, printed in depth-first order, but excluding the first child of each node at each level.#### Considerations:- If `T` is the root node, values will be printed for each subtree rooted at the second child onwards.- The method does not handle the case where `children` might be empty.This approach helps in understanding recursion, data structures, and specific traversal techniques within tree-like structures.

Solution: It will basically prints the value of each tree except the node. for example, let's see…

3 Given the following code, what will we output for mystery(T)? public static void mystery (TreeNode node) { List> children = node.getChildren(); for (int i = 1; i < children.size(); i++) { TreeNode child = children.get(i); System.out.println(child.getValue()); mystery (child);

3 Given the following code, what will we output for mystery(T)? public static void mystery (TreeNode node) { List> children = node.getChildren(); for (int i = 1; i < children.size(); i++) { TreeNode child = children.get(i); System.out.println(child.getValue()); mystery (child);

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

### Analyzing the Mystery Code

#### Problem Statement:
Given the following code, what will we output for `mystery(T)`?

#### Code Explanation:
```java
public static void mystery(TreeNode<String> node) {
List<TreeNode<String>> children = node.getChildren();
for (int i = 1; i < children.size(); i++) {
TreeNode<String> child = children.get(i);
System.out.println(child.getValue());
mystery(child);
}
}
```

#### Understanding the Code:
This Java method, `mystery`, is designed to operate on a tree data structure where each node has a string value and can have multiple child nodes.

1. **Function Signature:**
- The method `mystery` is a static void function that takes a single parameter, a `TreeNode<String>` object named `node`.

2. **Retrieving Children:**
- The method retrieves all children of the current `node` using `getChildren()`, storing them in a list.

3. **Loop through Children:**
- A for-loop iterates over the `children` list, starting from index 1 (second child) to the end of the list.
- This loop skips the first child (index 0).

4. **Print and Recur:**
- For each child, the code prints the child's string value using `System.out.println(child.getValue())`.
- It then recursively calls the `mystery` method on that child.

#### Key Points:
- **Recursion:** This method uses recursion to traverse the tree, but only for the children starting from the second one in the list.
- **Output:** The output of the method will be the values of the nodes, printed in depth-first order, but excluding the first child of each node at each level.

#### Considerations:
- If `T` is the root node, values will be printed for each subtree rooted at the second child onwards.
- The method does not handle the case where `children` might be empty.

This approach helps in understanding recursion, data structures, and specific traversal techniques within tree-like structures.

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