Consider the following method: public static void arrayMystery(int[) a) { for (int i = 1; i < a.length; i++) { a[i] = i + a[i - 1] - a[i]; } } Given the following array int[] a1 = {4,3,6}; What values would be stored in the array a1 after the method arrayMystery() executes and array a1 is passed as a parameter to it.

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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## Method Description

Consider the following method:

```java
public static void arrayMystery(int[] a) {
    for (int i = 1; i < a.length; i++) {
        a[i] = i + a[i - 1] - a[i];
    }
}
```

## Problem Statement

Given the following array:

```java
int[] a1 = {4, 3, 6};
```

What values would be stored in the array `a1` after the method `arrayMystery()` executes and array `a1` is passed as a parameter to it? 

## Explanation

The `arrayMystery()` method iteratively updates each element in the array starting from the index 1. The update rule is given by:

\[ a[i] = i + a[i - 1] - a[i] \]

### Processing Steps

1. **Initial Array**: `a1 = {4, 3, 6}`
2. **Iteration 1**: `i = 1`
   - Calculate: `a[1] = 1 + a[0] - a[1] = 1 + 4 - 3 = 2`
   - Updated Array: `a1 = {4, 2, 6}`
3. **Iteration 2**: `i = 2`
   - Calculate: `a[2] = 2 + a[1] - a[2] = 2 + 2 - 6 = -2`
   - Updated Array: `a1 = {4, 2, -2}`

### Final Array
After the execution of the method, the array will be `{4, 2, -2}`.
Transcribed Image Text:## Method Description Consider the following method: ```java public static void arrayMystery(int[] a) { for (int i = 1; i < a.length; i++) { a[i] = i + a[i - 1] - a[i]; } } ``` ## Problem Statement Given the following array: ```java int[] a1 = {4, 3, 6}; ``` What values would be stored in the array `a1` after the method `arrayMystery()` executes and array `a1` is passed as a parameter to it? ## Explanation The `arrayMystery()` method iteratively updates each element in the array starting from the index 1. The update rule is given by: \[ a[i] = i + a[i - 1] - a[i] \] ### Processing Steps 1. **Initial Array**: `a1 = {4, 3, 6}` 2. **Iteration 1**: `i = 1` - Calculate: `a[1] = 1 + a[0] - a[1] = 1 + 4 - 3 = 2` - Updated Array: `a1 = {4, 2, 6}` 3. **Iteration 2**: `i = 2` - Calculate: `a[2] = 2 + a[1] - a[2] = 2 + 2 - 6 = -2` - Updated Array: `a1 = {4, 2, -2}` ### Final Array After the execution of the method, the array will be `{4, 2, -2}`.
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