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
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
Problem 1PE
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Question
![### 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F41bb9ff3-5314-4fea-99c1-caccdeebbadb%2F2c26c325-b553-4832-97dc-bb695238a085%2F19gpkma_processed.jpeg&w=3840&q=75)
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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