Name your program Burrovskheeler.java and organize it using the following API: publie elass Burrovstheeler { I/ apply Burrows-Wheeler transform, I/ reading from standard input and public static void transform() vriting to standard output II apply Burrows-heeler inverse transform, I/ reading from standard input and writing to standard output public static void inversetransform() I/ if args(0j is - I/ if args(0) is ***, apply Burrows-Wheeler inverse transform publie statie void nain(String() args) apply Burros-Mheeler transforn Performance requirements. Your implementation must achieve the following performance requirements, where n is the number of characters in the input and R is the alphabet size: The transform() method must take O(n + R) time in the worst case, excluding the time to construct the circular suffix array. The inverseTransform() method must take O(n + R) time in the worst case. • Both the transform() and inversetransform( ) methods must use O(n + R) space in the worst case.

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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**Program Structure for BurrowsWheeler.java**

**API Description:**

```java
public class BurrowsWheeler {

    // apply Burrows-Wheeler transform,
    // reading from standard input and writing to standard output
    public static void transform()

    // apply Burrows-Wheeler inverse transform,
    // reading from standard input and writing to standard output
    public static void inverseTransform()

    // if args[0] is "-", apply Burrows-Wheeler transform
    // if args[0] is "+", apply Burrows-Wheeler inverse transform
    public static void main(String[] args)

}
```

### Performance Requirements

Your implementation must achieve the following performance requirements, where \( n \) is the number of characters in the input and \( R \) is the alphabet size:

- The `transform()` method must take \( O(n + R) \) time in the worst case, excluding the time to construct the circular suffix array.
- The `inverseTransform()` method must take \( O(n + R) \) time in the worst case.
- Both the `transform()` and `inverseTransform()` methods must use \( O(n + R) \) space in the worst case.

### Analysis

Once you have `MoveToFront.java` and `BurrowsWheeler.java` working, compress some text files. Then, test it on some binary files. Calculate the compression ratio achieved for each file and report the time to compress and expand each file. (Here, compression and expansion consist of applying `BurrowsWheeler`, `MoveToFront`, and `Huffman` in succession.) Finally, determine the order of growth of the running time of each of your methods, both in the worst case and on typical English text inputs.
Transcribed Image Text:**Program Structure for BurrowsWheeler.java** **API Description:** ```java public class BurrowsWheeler { // apply Burrows-Wheeler transform, // reading from standard input and writing to standard output public static void transform() // apply Burrows-Wheeler inverse transform, // reading from standard input and writing to standard output public static void inverseTransform() // if args[0] is "-", apply Burrows-Wheeler transform // if args[0] is "+", apply Burrows-Wheeler inverse transform public static void main(String[] args) } ``` ### Performance Requirements Your implementation must achieve the following performance requirements, where \( n \) is the number of characters in the input and \( R \) is the alphabet size: - The `transform()` method must take \( O(n + R) \) time in the worst case, excluding the time to construct the circular suffix array. - The `inverseTransform()` method must take \( O(n + R) \) time in the worst case. - Both the `transform()` and `inverseTransform()` methods must use \( O(n + R) \) space in the worst case. ### Analysis Once you have `MoveToFront.java` and `BurrowsWheeler.java` working, compress some text files. Then, test it on some binary files. Calculate the compression ratio achieved for each file and report the time to compress and expand each file. (Here, compression and expansion consist of applying `BurrowsWheeler`, `MoveToFront`, and `Huffman` in succession.) Finally, determine the order of growth of the running time of each of your methods, both in the worst case and on typical English text inputs.
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