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Write a program to implement autocomplete for a given set of n terms, where a term is a query string and an associated non-negative weight. That is, given a prefix, find all queries that start with the given prefix, in descending order of weight.

Autocomplete is pervasive in modern applications. As the user types, the program predicts the complete query (typically a word or phrase) that the user intends to type. Autocomplete is most effective when there are a limited number of likely queries. For example, the Internet Movie Database uses it to display the names of movies as the user types; search engines use it to display suggestions as the user enters web search queries; cell phones use it to speed up text input.

IMDB search    Google search    Phone keyboard suggestions


In these examples, the application predicts how likely it is that the user is typing each query and presents to the user a list of the top-matching queries, in descending order of weight. These weights are determined by historical data, such as box office revenue for movies, frequencies of search queries from other Google users, or the typing history of a cell phone user. For the purposes of this assignment, you will have access to a set of all possible queries and associated weights (and these queries and weights will not change).

The performance of autocomplete functionality is critical in many systems. For example, consider a search engine which runs an autocomplete application on a server farm. According to one study, the application has only about 50ms to return a list of suggestions for it to be useful to the user. Moreover, in principle, it must perform this computation for every keystroke typed into the search bar and for every user!

In this assignment, you will implement autocomplete by sorting the terms by query string; binary searching to find all query strings that start with a given prefix; and sorting the matching terms by weight.

Part 1: autocomplete term. Write an immutable data type Term.java that represents an autocomplete term—a query string and an associated integer weight. You must implement the following API, which supports comparing terms by three different orders: lexicographic order by query string (the natural order); in descending order by weight (an alternate order); and lexicographic order by query string but using only the first r characters (a family of alternate orderings). The last order may seem a bit odd, but you will use it in Part 3 to find all query strings that start with a given prefix (of length r).

public class Term implements Comparable<Term> {

    // Initializes a term with the given query string and weight.
    public Term(String query, long weight)

    // Compares the two terms in descending order by weight.
    public static Comparator<Term> byReverseWeightOrder()

    // Compares the two terms in lexicographic order,
    // but using only the first r characters of each query.
    public static Comparator<Term> byPrefixOrder(int r)

    // Compares the two terms in lexicographic order by query.
    public int compareTo(Term that)

    // Returns a string representation of this term in the following format:
    // the weight, followed by a tab, followed by the query.
    public String toString()

    // unit testing (required)
    public static void main(String[] args)

}

Corner cases.  Throw an IllegalArgumentException in the constructor if either query is null or weight is negative. Throw an IllegalArgumentException in byPrefixOrder() if r is negative.

Unit testing.  Your main() method must call each public constructor and method directly and help verify that they work as prescribed (e.g., by printing results to standard output).

Performance requirements.  The string comparison functions must take time proportional to the number of characters needed to resolve the comparison.

Part 2: binary search. When binary searching a sorted array that contains more than one key equal to the search key, the client may want to know the index of either the first or the last such key. Accordingly, implement the following API:

public class BinarySearchDeluxe {

    // Returns the index of the first key in the sorted array a[]
    // that is equal to the search key, or -1 if no such key.
    public static <Key> int firstIndexOf(Key[] a, Key key, Comparator<Key> comparator)

    // Returns the index of the last key in the sorted array a[]
    // that is equal to the search key, or -1 if no such key.
    public static <Key> int lastIndexOf(Key[] a, Key key, Comparator<Key> comparator)

    // unit testing (required)
    public static void main(String[] args)
}

Corner cases.  Throw an IllegalArgumentException if any argument to either firstIndexOf() or lastIndexOf() is null.

Preconditions.  Assume that the argument array is in sorted order (with respect to the supplied comparator).

Unit testing.  Your main() method must call each public method directly and help verify that they work as prescribed (e.g., by printing results to standard output).

Performance requirements.  The firstIndexOf() and lastIndexOf() methods must make at most \(1 + \lceil \log_2 n \rceil\) compares in the worst case, where n is the length of the array. In this context, a compare is one call to comparator.compare().

Part 3: autocomplete. In this part, you will implement a data type that provides autocomplete functionality for a given set of string and weights, using Term and BinarySearchDeluxe. To do so, sort the terms in lexicographic order; use binary search to find the all query strings that start with a given prefix; and sort the matching terms in descending order by weight. Organize your program by creating an immutable data type Autocomplete with the following API:

public class Autocomplete {

    // Initializes the data structure from the given array of terms.
    public Autocomplete(Term[] terms)

    // Returns all terms that start with the given prefix,
    // in descending order of weight.
    public Term[] allMatches(String prefix)

    // Returns the number of terms that start with the given prefix.
    public int numberOfMatches(String prefix)

    // unit testing (required)
    public static void main(String[] args)

}

Corner cases.  Throw an IllegalArgumentException in the constructor if either its argument array is null or any entry is null. Throw an IllegalArgumentException in allMatches() and numberOfMatches() if its argument is null.

Unit testing.  Your main() method call each public constructor and method directly and help verify that they work as prescribed (e.g., by printing results to standard output).

Performance requirements.  Your implementation must achieve each of the following worst-case performance requirements:

In this context, a compare is one call to any of the compare() or compareTo() methods defined in Term.

Input format. We provide a number of sample input files for testing. Each file consists of an integer n followed by n pairs of query strings and non-negative weights. There is one pair per line, with the weight and string separated by a tab. A weight can be any integer between 0 and 263 − 1. A query string can be any sequence of Unicode characters, including spaces (but not newlines).

~/Desktop/autocomplete> more wiktionary.txt
10000                                      
   5627187200	the
   3395006400	of
   2994418400	and
   2595609600	to
   1742063600	in
   1176479700	i
   1107331800	that
   1007824500	was
    879975500	his
                ...
       392323	calves
~/Desktop/autocomplete> more cities.txt
93827
      14608512	Shanghai, China
      13076300	Buenos Aires, Argentina
      12691836	Mumbai, India
      12294193	Mexico City, Distrito Federal, Mexico
      11624219	Karachi, Pakistan
      11174257	İstanbul, Turkey
      10927986	Delhi, India
      10444527	Manila, Philippines
      10381222	Moscow, Russia
                ...
             2	Al Khāniq, Yemen
Below is a sample client that takes the name of an input file and an integer k as command-line arguments. It reads the data from the file; then it repeatedly reads autocomplete queries from standard input, and prints the top k matching terms in descending order of weight.
public static void main(String[] args) {

    // read in the terms from a file
    String filename = args[0];
    In in = new In(filename);
    int n = in.readInt();
    Term[] terms = new Term[n];
    for (int i = 0; i < n; i++) {
        long weight = in.readLong();           // read the next weight
        in.readChar();                         // scan past the tab
        String query = in.readLine();          // read the next query
        terms[i] = new Term(query, weight);    // construct the term
    }

    // read in queries from standard input and print the top k matching terms
    int k = Integer.parseInt(args[1]);
    Autocomplete autocomplete = new Autocomplete(terms);
    while (StdIn.hasNextLine()) {
        String prefix = StdIn.readLine();
        Term[] results = autocomplete.allMatches(prefix);
        StdOut.printf("%d matches\n", autocomplete.numberOfMatches(prefix));
        for (int i = 0; i < Math.min(k, results.length); i++)
            StdOut.println(results[i]);
    }
}
Here are a few sample executions:
~/Desktop/autocomplete> java-algs4 Autocomplete wiktionary.txt 5
auto
2 matches
        619695	automobile
        424997	automatic
comp
52 matches
      13315900	company
       7803980	complete
       6038490	companion
       5205030	completely
       4481770	comply
the
38 matches
    5627187200	the
     334039800	they
     282026500	their
     250991700	them
     196120000	there

~/Desktop/autocomplete> java-algs4 Autocomplete cities.txt 7
M
7211 matches
    12691836  Mumbai, India
    12294193  Mexico City, Distrito Federal, Mexico
    10444527  Manila, Philippines
    10381222  Moscow, Russia
     3730206  Melbourne, Victoria, Australia
     3268513  Montréal, Quebec, Canada
     3255944  Madrid, Spain
Al M
39 matches
      431052  Al Maḩallah al Kubrá, Egypt
      420195  Al Manşūrah, Egypt
      290802  Al Mubarraz, Saudi Arabia
      258132  Al Mukallā, Yemen
      227150  Al Minyā, Egypt
      128297  Al Manāqil, Sudan
       99357  Al Maţarīyah, Egypt

Interactive GUI (optional, but fun and no extra work). Download and compile AutocompleteGUI.java. The program takes the name of a file and an integer k as command-line arguments and provides a GUI for the user to enter queries. It presents the top k matching terms in real time. When the user selects a term, the GUI opens up the results from a Google search for that term in a browser.

~/Desktop/autocomplete> java-algs4 AutocompleteGUI cities.txt 7

Submission. Submit Autocomplete.java, BinarySearchDeluxe.java, and Term.java. Do not call any library functions other than those in java.lang, java.util, and algs4.jar. Finally, submit readme.txt and acknowledgments.txt files and answer the questions.

Grading.

file points
Term.java 13
BinarySearchDeluxe.java 10
Autocomplete.java 12
readme.txt 5
40

Reminder: You can lose up to 4 points for poor style and up to 4 points for inadequate unit testing.


This assignment was developed by Matthew Drabick and Kevin Wayne.
Copyright © 2014.