What type of recursion is present in the method below? public static void mystery (int x, int y) { if (x <= 0) { } System.out.print("cat"); } else if (y < 2) { System.out.print("bat"); mystery (x-1, y); } else { } mystery (4, 5); mutual linear System.out.print("mat"); mystery (x-1, y-2); nested tree tail

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
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### Understanding Recursion in Code

#### Problem Statement:
What type of recursion is present in the method below?

#### Code Explanation:
```java
public static void mystery(int x, int y) {
    if (x <= 0) {
        System.out.print("cat");
    } else if (y < 2) {
        System.out.print("bat");
        mystery(x-1, y);
    } else {
        System.out.print("mat");
        mystery(x-1, y-2);
    }
}

mystery(4, 5);
```

#### Recursion Type Options:
- ○ mutual
- ○ linear
- ○ nested
- ○ tree
- ○ tail

### Detailed Analysis:
The `mystery` function uses three different print statements based on the values of `x` and `y`. It recursively calls itself with modified arguments:
- Decreases `x` and calls `mystery` if `x > 0`.
- Decreases `y` by 2 in some cases.

This pattern leads to multiple recursive calls potentially branching out, which characterizes **tree recursion**. Each call may lead to further calls, forming a tree-like structure.
Transcribed Image Text:### Understanding Recursion in Code #### Problem Statement: What type of recursion is present in the method below? #### Code Explanation: ```java public static void mystery(int x, int y) { if (x <= 0) { System.out.print("cat"); } else if (y < 2) { System.out.print("bat"); mystery(x-1, y); } else { System.out.print("mat"); mystery(x-1, y-2); } } mystery(4, 5); ``` #### Recursion Type Options: - ○ mutual - ○ linear - ○ nested - ○ tree - ○ tail ### Detailed Analysis: The `mystery` function uses three different print statements based on the values of `x` and `y`. It recursively calls itself with modified arguments: - Decreases `x` and calls `mystery` if `x > 0`. - Decreases `y` by 2 in some cases. This pattern leads to multiple recursive calls potentially branching out, which characterizes **tree recursion**. Each call may lead to further calls, forming a tree-like structure.
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