/******************************************************************************
 *  Compilation:  javac TrieSET.java
 *  Execution:    java TrieSET < words.txt
 *  Dependencies: StdIn.java
 *  Data files:   http://algs4.cs.princeton.edu/52trie/shellsST.txt
 *
 *  An set for extended ASCII strings, implemented  using a 256-way trie.
 *
 *  Sample client reads in a list of words from standard input and
 *  prints out each word, removing any duplicates.
 *
 ******************************************************************************/

package edu.princeton.cs.algs4;

import java.util.Iterator;

/**
 *  The {@code TrieSET} class represents an ordered set of strings over
 *  the extended ASCII alphabet.
 *  It supports the usual <em>add</em>, <em>contains</em>, and <em>delete</em>
 *  methods. It also provides character-based methods for finding the string
 *  in the set that is the <em>longest prefix</em> of a given prefix,
 *  finding all strings in the set that <em>start with</em> a given prefix,
 *  and finding all strings in the set that <em>match</em> a given pattern.
 *  <p>
 *  This implementation uses a 256-way trie.
 *  The <em>add</em>, <em>contains</em>, <em>delete</em>, and
 *  <em>longest prefix</em> methods take time proportional to the length
 *  of the key (in the worst case). Construction takes constant time.
 *  <p>
 *  For additional documentation, see
 *  <a href="http://algs4.cs.princeton.edu/52trie">Section 5.2</a> of
 *  <i>Algorithms in Java, 4th Edition</i> by Robert Sedgewick and Kevin Wayne.
 *
 *  @author Robert Sedgewick
 *  @author Kevin Wayne
 */
public class TrieSET implements Iterable<String> {
    private static final int R = 256;        // extended ASCII

    private Node root;      // root of trie
    private int n;          // number of keys in trie

    // R-way trie node
    private static class Node {
        private Node[] next = new Node[R];
        private boolean isString;
    }

    /**
     * Initializes an empty set of strings.
     */
    public TrieSET() {
    }

    /**
     * Does the set contain the given key?
     * @param key the key
     * @return {@code true} if the set contains {@code key} and
     *     {@code false} otherwise
     * @throws NullPointerException if {@code key} is {@code null}
     */
    public boolean contains(String key) {
        Node x = get(root, key, 0);
        if (x == null) return false;
        return x.isString;
    }

    private Node get(Node x, String key, int d) {
        if (x == null) return null;
        if (d == key.length()) return x;
        char c = key.charAt(d);
        return get(x.next[c], key, d+1);
    }

    /**
     * Adds the key to the set if it is not already present.
     * @param key the key to add
     * @throws NullPointerException if {@code key} is {@code null}
     */
    public void add(String key) {
        root = add(root, key, 0);
    }

    private Node add(Node x, String key, int d) {
        if (x == null) x = new Node();
        if (d == key.length()) {
            if (!x.isString) n++;
            x.isString = true;
        }
        else {
            char c = key.charAt(d);
            x.next[c] = add(x.next[c], key, d+1);
        }
        return x;
    }

    /**
     * Returns the number of strings in the set.
     * @return the number of strings in the set
     */
    public int size() {
        return n;
    }

    /**
     * Is the set empty?
     * @return {@code true} if the set is empty, and {@code false} otherwise
     */
    public boolean isEmpty() {
        return size() == 0;
    }

    /**
     * Returns all of the keys in the set, as an iterator.
     * To iterate over all of the keys in a set named {@code set}, use the
     * foreach notation: {@code for (Key key : set)}.
     * @return an iterator to all of the keys in the set
     */
    public Iterator<String> iterator() {
        return keysWithPrefix("").iterator();
    }

    /**
     * Returns all of the keys in the set that start with {@code prefix}.
     * @param prefix the prefix
     * @return all of the keys in the set that start with {@code prefix},
     *     as an iterable
     */
    public Iterable<String> keysWithPrefix(String prefix) {
        Queue<String> results = new Queue<String>();
        Node x = get(root, prefix, 0);
        collect(x, new StringBuilder(prefix), results);
        return results;
    }

    private void collect(Node x, StringBuilder prefix, Queue<String> results) {
        if (x == null) return;
        if (x.isString) results.enqueue(prefix.toString());
        for (char c = 0; c < R; c++) {
            prefix.append(c);
            collect(x.next[c], prefix, results);
            prefix.deleteCharAt(prefix.length() - 1);
        }
    }

    /**
     * Returns all of the keys in the set that match {@code pattern},
     * where . symbol is treated as a wildcard character.
     * @param pattern the pattern
     * @return all of the keys in the set that match {@code pattern},
     *     as an iterable, where . is treated as a wildcard character.
     */  
    public Iterable<String> keysThatMatch(String pattern) {
        Queue<String> results = new Queue<String>();
        StringBuilder prefix = new StringBuilder();
        collect(root, prefix, pattern, results);
        return results;
    }
        
    private void collect(Node x, StringBuilder prefix, String pattern, Queue<String> results) {
        if (x == null) return;
        int d = prefix.length();
        if (d == pattern.length() && x.isString)
            results.enqueue(prefix.toString());
        if (d == pattern.length())
            return;
        char c = pattern.charAt(d);
        if (c == '.') {
            for (char ch = 0; ch < R; ch++) {
                prefix.append(ch);
                collect(x.next[ch], prefix, pattern, results);
                prefix.deleteCharAt(prefix.length() - 1);
            }
        }
        else {
            prefix.append(c);
            collect(x.next[c], prefix, pattern, results);
            prefix.deleteCharAt(prefix.length() - 1);
        }
    }

    /**
     * Returns the string in the set that is the longest prefix of {@code query},
     * or {@code null}, if no such string.
     * @param query the query string
     * @return the string in the set that is the longest prefix of {@code query},
     *     or {@code null} if no such string
     * @throws NullPointerException if {@code query} is {@code null}
     */
    public String longestPrefixOf(String query) {
        int length = longestPrefixOf(root, query, 0, -1);
        if (length == -1) return null;
        return query.substring(0, length);
    }

    // returns the length of the longest string key in the subtrie
    // rooted at x that is a prefix of the query string,
    // assuming the first d character match and we have already
    // found a prefix match of length length
    private int longestPrefixOf(Node x, String query, int d, int length) {
        if (x == null) return length;
        if (x.isString) length = d;
        if (d == query.length()) return length;
        char c = query.charAt(d);
        return longestPrefixOf(x.next[c], query, d+1, length);
    }

    /**
     * Removes the key from the set if the key is present.
     * @param key the key
     * @throws NullPointerException if {@code key} is {@code null}
     */
    public void delete(String key) {
        root = delete(root, key, 0);
    }

    private Node delete(Node x, String key, int d) {
        if (x == null) return null;
        if (d == key.length()) {
            if (x.isString) n--;
            x.isString = false;
        }
        else {
            char c = key.charAt(d);
            x.next[c] = delete(x.next[c], key, d+1);
        }

        // remove subtrie rooted at x if it is completely empty
        if (x.isString) return x;
        for (int c = 0; c < R; c++)
            if (x.next[c] != null)
                return x;
        return null;
    }


    /**
     * Unit tests the {@code TrieSET} data type.
     *
     * @param args the command-line arguments
     */
    public static void main(String[] args) {
        TrieSET set = new TrieSET();
        while (!StdIn.isEmpty()) {
            String key = StdIn.readString();
            set.add(key);
        }

        // print results
        if (set.size() < 100) {
            StdOut.println("keys(\"\"):");
            for (String key : set) {
                StdOut.println(key);
            }
            StdOut.println();
        }

        StdOut.println("longestPrefixOf(\"shellsort\"):");
        StdOut.println(set.longestPrefixOf("shellsort"));
        StdOut.println();

        StdOut.println("longestPrefixOf(\"xshellsort\"):");
        StdOut.println(set.longestPrefixOf("xshellsort"));
        StdOut.println();

        StdOut.println("keysWithPrefix(\"shor\"):");
        for (String s : set.keysWithPrefix("shor"))
            StdOut.println(s);
        StdOut.println();

        StdOut.println("keysWithPrefix(\"shortening\"):");
        for (String s : set.keysWithPrefix("shortening"))
            StdOut.println(s);
        StdOut.println();

        StdOut.println("keysThatMatch(\".he.l.\"):");
        for (String s : set.keysThatMatch(".he.l."))
            StdOut.println(s);
    }
}

/******************************************************************************
 *  Copyright 2002-2016, Robert Sedgewick and Kevin Wayne.
 *
 *  This file is part of algs4.jar, which accompanies the textbook
 *
 *      Algorithms, 4th edition by Robert Sedgewick and Kevin Wayne,
 *      Addison-Wesley Professional, 2011, ISBN 0-321-57351-X.
 *      http://algs4.cs.princeton.edu
 *
 *
 *  algs4.jar is free software: you can redistribute it and/or modify
 *  it under the terms of the GNU General Public License as published by
 *  the Free Software Foundation, either version 3 of the License, or
 *  (at your option) any later version.
 *
 *  algs4.jar is distributed in the hope that it will be useful,
 *  but WITHOUT ANY WARRANTY; without even the implied warranty of
 *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 *  GNU General Public License for more details.
 *
 *  You should have received a copy of the GNU General Public License
 *  along with algs4.jar.  If not, see http://www.gnu.org/licenses.
 ******************************************************************************/