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Java Source Code / Java Documentation  » 6.0 JDK Core » Collections Jar Zip Logging regex » java.util 
Source Cross Referenced  Class Diagram Java Document (Java Doc) 


        /*
         * Copyright 1997-2007 Sun Microsystems, Inc.  All Rights Reserved.
         * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
         *
         * This code is free software; you can redistribute it and/or modify it
         * under the terms of the GNU General Public License version 2 only, as
         * published by the Free Software Foundation.  Sun designates this
         * particular file as subject to the "Classpath" exception as provided
         * by Sun in the LICENSE file that accompanied this code.
         *
         * This code 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
         * version 2 for more details (a copy is included in the LICENSE file that
         * accompanied this code).
         *
         * You should have received a copy of the GNU General Public License version
         * 2 along with this work; if not, write to the Free Software Foundation,
         * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
         *
         * Please contact Sun Microsystems, Inc., 4150 Network Circle, Santa Clara,
         * CA 95054 USA or visit www.sun.com if you need additional information or
         * have any questions.
         */

        package java.util;

        import java.io.Serializable;
        import java.io.ObjectOutputStream;
        import java.io.IOException;
        import java.lang.reflect.Array;

        /**
         * This class consists exclusively of static methods that operate on or return
         * collections.  It contains polymorphic algorithms that operate on
         * collections, "wrappers", which return a new collection backed by a
         * specified collection, and a few other odds and ends.
         *
         * <p>The methods of this class all throw a <tt>NullPointerException</tt>
         * if the collections or class objects provided to them are null.
         *
         * <p>The documentation for the polymorphic algorithms contained in this class
         * generally includes a brief description of the <i>implementation</i>.  Such
         * descriptions should be regarded as <i>implementation notes</i>, rather than
         * parts of the <i>specification</i>.  Implementors should feel free to
         * substitute other algorithms, so long as the specification itself is adhered
         * to.  (For example, the algorithm used by <tt>sort</tt> does not have to be
         * a mergesort, but it does have to be <i>stable</i>.)
         *
         * <p>The "destructive" algorithms contained in this class, that is, the
         * algorithms that modify the collection on which they operate, are specified
         * to throw <tt>UnsupportedOperationException</tt> if the collection does not
         * support the appropriate mutation primitive(s), such as the <tt>set</tt>
         * method.  These algorithms may, but are not required to, throw this
         * exception if an invocation would have no effect on the collection.  For
         * example, invoking the <tt>sort</tt> method on an unmodifiable list that is
         * already sorted may or may not throw <tt>UnsupportedOperationException</tt>.
         *
         * <p>This class is a member of the
         * <a href="{@docRoot}/../technotes/guides/collections/index.html">
         * Java Collections Framework</a>.
         *
         * @author  Josh Bloch
         * @author  Neal Gafter
         * @version 1.116, 07/23/07
         * @see	    Collection
         * @see	    Set
         * @see	    List
         * @see	    Map
         * @since   1.2
         */

        public class Collections {
            // Suppresses default constructor, ensuring non-instantiability.
            private Collections() {
            }

            // Algorithms

            /*
             * Tuning parameters for algorithms - Many of the List algorithms have
             * two implementations, one of which is appropriate for RandomAccess
             * lists, the other for "sequential."  Often, the random access variant
             * yields better performance on small sequential access lists.  The
             * tuning parameters below determine the cutoff point for what constitutes
             * a "small" sequential access list for each algorithm.  The values below
             * were empirically determined to work well for LinkedList. Hopefully
             * they should be reasonable for other sequential access List
             * implementations.  Those doing performance work on this code would
             * do well to validate the values of these parameters from time to time.
             * (The first word of each tuning parameter name is the algorithm to which
             * it applies.)
             */
            private static final int BINARYSEARCH_THRESHOLD = 5000;
            private static final int REVERSE_THRESHOLD = 18;
            private static final int SHUFFLE_THRESHOLD = 5;
            private static final int FILL_THRESHOLD = 25;
            private static final int ROTATE_THRESHOLD = 100;
            private static final int COPY_THRESHOLD = 10;
            private static final int REPLACEALL_THRESHOLD = 11;
            private static final int INDEXOFSUBLIST_THRESHOLD = 35;

            /**
             * Sorts the specified list into ascending order, according to the
             * <i>natural ordering</i> of its elements.  All elements in the list must
             * implement the <tt>Comparable</tt> interface.  Furthermore, all elements
             * in the list must be <i>mutually comparable</i> (that is,
             * <tt>e1.compareTo(e2)</tt> must not throw a <tt>ClassCastException</tt>
             * for any elements <tt>e1</tt> and <tt>e2</tt> in the list).<p>
             *
             * This sort is guaranteed to be <i>stable</i>:  equal elements will
             * not be reordered as a result of the sort.<p>
             *
             * The specified list must be modifiable, but need not be resizable.<p>
             *
             * The sorting algorithm is a modified mergesort (in which the merge is
             * omitted if the highest element in the low sublist is less than the
             * lowest element in the high sublist).  This algorithm offers guaranteed
             * n log(n) performance.
             *
             * This implementation dumps the specified list into an array, sorts
             * the array, and iterates over the list resetting each element
             * from the corresponding position in the array.  This avoids the
             * n<sup>2</sup> log(n) performance that would result from attempting
             * to sort a linked list in place.
             *
             * @param  list the list to be sorted.
             * @throws ClassCastException if the list contains elements that are not
             *	       <i>mutually comparable</i> (for example, strings and integers).
             * @throws UnsupportedOperationException if the specified list's
             *	       list-iterator does not support the <tt>set</tt> operation.
             * @see Comparable
             */
            public static <T extends Comparable<? super  T>> void sort(
                    List<T> list) {
                Object[] a = list.toArray();
                Arrays.sort(a);
                ListIterator<T> i = list.listIterator();
                for (int j = 0; j < a.length; j++) {
                    i.next();
                    i.set((T) a[j]);
                }
            }

            /**
             * Sorts the specified list according to the order induced by the
             * specified comparator.  All elements in the list must be <i>mutually
             * comparable</i> using the specified comparator (that is,
             * <tt>c.compare(e1, e2)</tt> must not throw a <tt>ClassCastException</tt>
             * for any elements <tt>e1</tt> and <tt>e2</tt> in the list).<p>
             *
             * This sort is guaranteed to be <i>stable</i>:  equal elements will
             * not be reordered as a result of the sort.<p>
             *
             * The sorting algorithm is a modified mergesort (in which the merge is
             * omitted if the highest element in the low sublist is less than the
             * lowest element in the high sublist).  This algorithm offers guaranteed
             * n log(n) performance.
             *
             * The specified list must be modifiable, but need not be resizable.
             * This implementation dumps the specified list into an array, sorts
             * the array, and iterates over the list resetting each element
             * from the corresponding position in the array.  This avoids the
             * n<sup>2</sup> log(n) performance that would result from attempting
             * to sort a linked list in place.
             *
             * @param  list the list to be sorted.
             * @param  c the comparator to determine the order of the list.  A
             *        <tt>null</tt> value indicates that the elements' <i>natural
             *        ordering</i> should be used.
             * @throws ClassCastException if the list contains elements that are not
             *	       <i>mutually comparable</i> using the specified comparator.
             * @throws UnsupportedOperationException if the specified list's
             *	       list-iterator does not support the <tt>set</tt> operation.
             * @see Comparator
             */
            public static <T> void sort(List<T> list, Comparator<? super  T> c) {
                Object[] a = list.toArray();
                Arrays.sort(a, (Comparator) c);
                ListIterator i = list.listIterator();
                for (int j = 0; j < a.length; j++) {
                    i.next();
                    i.set(a[j]);
                }
            }

            /**
             * Searches the specified list for the specified object using the binary
             * search algorithm.  The list must be sorted into ascending order
             * according to the {@linkplain Comparable natural ordering} of its
             * elements (as by the {@link #sort(List)} method) prior to making this
             * call.  If it is not sorted, the results are undefined.  If the list
             * contains multiple elements equal to the specified object, there is no
             * guarantee which one will be found.
             *
             * <p>This method runs in log(n) time for a "random access" list (which
             * provides near-constant-time positional access).  If the specified list
             * does not implement the {@link RandomAccess} interface and is large,
             * this method will do an iterator-based binary search that performs
             * O(n) link traversals and O(log n) element comparisons.
             *
             * @param  list the list to be searched.
             * @param  key the key to be searched for.
             * @return the index of the search key, if it is contained in the list;
             *	       otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
             *	       <i>insertion point</i> is defined as the point at which the
             *	       key would be inserted into the list: the index of the first
             *	       element greater than the key, or <tt>list.size()</tt> if all
             *	       elements in the list are less than the specified key.  Note
             *	       that this guarantees that the return value will be &gt;= 0 if
             *	       and only if the key is found.
             * @throws ClassCastException if the list contains elements that are not
             *	       <i>mutually comparable</i> (for example, strings and
             *	       integers), or the search key is not mutually comparable
             *	       with the elements of the list.
             */
            public static <T> int binarySearch(
                    List<? extends Comparable<? super  T>> list, T key) {
                if (list instanceof  RandomAccess
                        || list.size() < BINARYSEARCH_THRESHOLD)
                    return Collections.indexedBinarySearch(list, key);
                else
                    return Collections.iteratorBinarySearch(list, key);
            }

            private static <T> int indexedBinarySearch(
                    List<? extends Comparable<? super  T>> list, T key) {
                int low = 0;
                int high = list.size() - 1;

                while (low <= high) {
                    int mid = (low + high) >>> 1;
                    Comparable<? super  T> midVal = list.get(mid);
                    int cmp = midVal.compareTo(key);

                    if (cmp < 0)
                        low = mid + 1;
                    else if (cmp > 0)
                        high = mid - 1;
                    else
                        return mid; // key found
                }
                return -(low + 1); // key not found
            }

            private static <T> int iteratorBinarySearch(
                    List<? extends Comparable<? super  T>> list, T key) {
                int low = 0;
                int high = list.size() - 1;
                ListIterator<? extends Comparable<? super  T>> i = list
                        .listIterator();

                while (low <= high) {
                    int mid = (low + high) >>> 1;
                    Comparable<? super  T> midVal = get(i, mid);
                    int cmp = midVal.compareTo(key);

                    if (cmp < 0)
                        low = mid + 1;
                    else if (cmp > 0)
                        high = mid - 1;
                    else
                        return mid; // key found
                }
                return -(low + 1); // key not found
            }

            /**
             * Gets the ith element from the given list by repositioning the specified
             * list listIterator.
             */
            private static <T> T get(ListIterator<? extends T> i, int index) {
                T obj = null;
                int pos = i.nextIndex();
                if (pos <= index) {
                    do {
                        obj = i.next();
                    } while (pos++ < index);
                } else {
                    do {
                        obj = i.previous();
                    } while (--pos > index);
                }
                return obj;
            }

            /**
             * Searches the specified list for the specified object using the binary
             * search algorithm.  The list must be sorted into ascending order
             * according to the specified comparator (as by the
             * {@link #sort(List, Comparator) sort(List, Comparator)}
             * method), prior to making this call.  If it is
             * not sorted, the results are undefined.  If the list contains multiple
             * elements equal to the specified object, there is no guarantee which one
             * will be found.
             *
             * <p>This method runs in log(n) time for a "random access" list (which
             * provides near-constant-time positional access).  If the specified list
             * does not implement the {@link RandomAccess} interface and is large,
             * this method will do an iterator-based binary search that performs
             * O(n) link traversals and O(log n) element comparisons.
             *
             * @param  list the list to be searched.
             * @param  key the key to be searched for.
             * @param  c the comparator by which the list is ordered.
             *         A <tt>null</tt> value indicates that the elements'
             *	       {@linkplain Comparable natural ordering} should be used.
             * @return the index of the search key, if it is contained in the list;
             *	       otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
             *	       <i>insertion point</i> is defined as the point at which the
             *	       key would be inserted into the list: the index of the first
             *	       element greater than the key, or <tt>list.size()</tt> if all
             *	       elements in the list are less than the specified key.  Note
             *	       that this guarantees that the return value will be &gt;= 0 if
             *	       and only if the key is found.
             * @throws ClassCastException if the list contains elements that are not
             *	       <i>mutually comparable</i> using the specified comparator,
             *	       or the search key is not mutually comparable with the
             *	       elements of the list using this comparator.
             */
            public static <T> int binarySearch(List<? extends T> list, T key,
                    Comparator<? super  T> c) {
                if (c == null)
                    return binarySearch((List) list, key);

                if (list instanceof  RandomAccess
                        || list.size() < BINARYSEARCH_THRESHOLD)
                    return Collections.indexedBinarySearch(list, key, c);
                else
                    return Collections.iteratorBinarySearch(list, key, c);
            }

            private static <T> int indexedBinarySearch(List<? extends T> l,
                    T key, Comparator<? super  T> c) {
                int low = 0;
                int high = l.size() - 1;

                while (low <= high) {
                    int mid = (low + high) >>> 1;
                    T midVal = l.get(mid);
                    int cmp = c.compare(midVal, key);

                    if (cmp < 0)
                        low = mid + 1;
                    else if (cmp > 0)
                        high = mid - 1;
                    else
                        return mid; // key found
                }
                return -(low + 1); // key not found
            }

            private static <T> int iteratorBinarySearch(List<? extends T> l,
                    T key, Comparator<? super  T> c) {
                int low = 0;
                int high = l.size() - 1;
                ListIterator<? extends T> i = l.listIterator();

                while (low <= high) {
                    int mid = (low + high) >>> 1;
                    T midVal = get(i, mid);
                    int cmp = c.compare(midVal, key);

                    if (cmp < 0)
                        low = mid + 1;
                    else if (cmp > 0)
                        high = mid - 1;
                    else
                        return mid; // key found
                }
                return -(low + 1); // key not found
            }

            private interface SelfComparable extends Comparable<SelfComparable> {
            }

            /**
             * Reverses the order of the elements in the specified list.<p>
             *
             * This method runs in linear time.
             *
             * @param  list the list whose elements are to be reversed.
             * @throws UnsupportedOperationException if the specified list or
             *         its list-iterator does not support the <tt>set</tt> operation.
             */
            public static void reverse(List<?> list) {
                int size = list.size();
                if (size < REVERSE_THRESHOLD || list instanceof  RandomAccess) {
                    for (int i = 0, mid = size >> 1, j = size - 1; i < mid; i++, j--)
                        swap(list, i, j);
                } else {
                    ListIterator fwd = list.listIterator();
                    ListIterator rev = list.listIterator(size);
                    for (int i = 0, mid = list.size() >> 1; i < mid; i++) {
                        Object tmp = fwd.next();
                        fwd.set(rev.previous());
                        rev.set(tmp);
                    }
                }
            }

            /**
             * Randomly permutes the specified list using a default source of
             * randomness.  All permutations occur with approximately equal
             * likelihood.<p>
             *
             * The hedge "approximately" is used in the foregoing description because
             * default source of randomness is only approximately an unbiased source
             * of independently chosen bits. If it were a perfect source of randomly
             * chosen bits, then the algorithm would choose permutations with perfect
             * uniformity.<p>
             *
             * This implementation traverses the list backwards, from the last element
             * up to the second, repeatedly swapping a randomly selected element into
             * the "current position".  Elements are randomly selected from the
             * portion of the list that runs from the first element to the current
             * position, inclusive.<p>
             *
             * This method runs in linear time.  If the specified list does not
             * implement the {@link RandomAccess} interface and is large, this
             * implementation dumps the specified list into an array before shuffling
             * it, and dumps the shuffled array back into the list.  This avoids the
             * quadratic behavior that would result from shuffling a "sequential
             * access" list in place.
             *
             * @param  list the list to be shuffled.
             * @throws UnsupportedOperationException if the specified list or
             *         its list-iterator does not support the <tt>set</tt> operation.
             */
            public static void shuffle(List<?> list) {
                if (r == null) {
                    r = new Random();
                }
                shuffle(list, r);
            }

            private static Random r;

            /**
             * Randomly permute the specified list using the specified source of
             * randomness.  All permutations occur with equal likelihood
             * assuming that the source of randomness is fair.<p>
             *
             * This implementation traverses the list backwards, from the last element
             * up to the second, repeatedly swapping a randomly selected element into
             * the "current position".  Elements are randomly selected from the
             * portion of the list that runs from the first element to the current
             * position, inclusive.<p>
             *
             * This method runs in linear time.  If the specified list does not
             * implement the {@link RandomAccess} interface and is large, this
             * implementation dumps the specified list into an array before shuffling
             * it, and dumps the shuffled array back into the list.  This avoids the
             * quadratic behavior that would result from shuffling a "sequential
             * access" list in place.
             *
             * @param  list the list to be shuffled.
             * @param  rnd the source of randomness to use to shuffle the list.
             * @throws UnsupportedOperationException if the specified list or its
             *         list-iterator does not support the <tt>set</tt> operation.
             */
            public static void shuffle(List<?> list, Random rnd) {
                int size = list.size();
                if (size < SHUFFLE_THRESHOLD || list instanceof  RandomAccess) {
                    for (int i = size; i > 1; i--)
                        swap(list, i - 1, rnd.nextInt(i));
                } else {
                    Object arr[] = list.toArray();

                    // Shuffle array
                    for (int i = size; i > 1; i--)
                        swap(arr, i - 1, rnd.nextInt(i));

                    // Dump array back into list
                    ListIterator it = list.listIterator();
                    for (int i = 0; i < arr.length; i++) {
                        it.next();
                        it.set(arr[i]);
                    }
                }
            }

            /**
             * Swaps the elements at the specified positions in the specified list.
             * (If the specified positions are equal, invoking this method leaves
             * the list unchanged.)
             *
             * @param list The list in which to swap elements.
             * @param i the index of one element to be swapped.
             * @param j the index of the other element to be swapped.
             * @throws IndexOutOfBoundsException if either <tt>i</tt> or <tt>j</tt>
             *         is out of range (i &lt; 0 || i &gt;= list.size()
             *         || j &lt; 0 || j &gt;= list.size()).
             * @since 1.4
             */
            public static void swap(List<?> list, int i, int j) {
                final List l = list;
                l.set(i, l.set(j, l.get(i)));
            }

            /**
             * Swaps the two specified elements in the specified array.
             */
            private static void swap(Object[] arr, int i, int j) {
                Object tmp = arr[i];
                arr[i] = arr[j];
                arr[j] = tmp;
            }

            /**
             * Replaces all of the elements of the specified list with the specified
             * element. <p>
             *
             * This method runs in linear time.
             *
             * @param  list the list to be filled with the specified element.
             * @param  obj The element with which to fill the specified list.
             * @throws UnsupportedOperationException if the specified list or its
             *	       list-iterator does not support the <tt>set</tt> operation.
             */
            public static <T> void fill(List<? super  T> list, T obj) {
                int size = list.size();

                if (size < FILL_THRESHOLD || list instanceof  RandomAccess) {
                    for (int i = 0; i < size; i++)
                        list.set(i, obj);
                } else {
                    ListIterator<? super  T> itr = list.listIterator();
                    for (int i = 0; i < size; i++) {
                        itr.next();
                        itr.set(obj);
                    }
                }
            }

            /**
             * Copies all of the elements from one list into another.  After the
             * operation, the index of each copied element in the destination list
             * will be identical to its index in the source list.  The destination
             * list must be at least as long as the source list.  If it is longer, the
             * remaining elements in the destination list are unaffected. <p>
             *
             * This method runs in linear time.
             *
             * @param  dest The destination list.
             * @param  src The source list.
             * @throws IndexOutOfBoundsException if the destination list is too small
             *         to contain the entire source List.
             * @throws UnsupportedOperationException if the destination list's
             *         list-iterator does not support the <tt>set</tt> operation.
             */
            public static <T> void copy(List<? super  T> dest,
                    List<? extends T> src) {
                int srcSize = src.size();
                if (srcSize > dest.size())
                    throw new IndexOutOfBoundsException(
                            "Source does not fit in dest");

                if (srcSize < COPY_THRESHOLD
                        || (src instanceof  RandomAccess && dest instanceof  RandomAccess)) {
                    for (int i = 0; i < srcSize; i++)
                        dest.set(i, src.get(i));
                } else {
                    ListIterator<? super  T> di = dest.listIterator();
                    ListIterator<? extends T> si = src.listIterator();
                    for (int i = 0; i < srcSize; i++) {
                        di.next();
                        di.set(si.next());
                    }
                }
            }

            /**
             * Returns the minimum element of the given collection, according to the
             * <i>natural ordering</i> of its elements.  All elements in the
             * collection must implement the <tt>Comparable</tt> interface.
             * Furthermore, all elements in the collection must be <i>mutually
             * comparable</i> (that is, <tt>e1.compareTo(e2)</tt> must not throw a
             * <tt>ClassCastException</tt> for any elements <tt>e1</tt> and
             * <tt>e2</tt> in the collection).<p>
             *
             * This method iterates over the entire collection, hence it requires
             * time proportional to the size of the collection.
             *
             * @param  coll the collection whose minimum element is to be determined.
             * @return the minimum element of the given collection, according
             *         to the <i>natural ordering</i> of its elements.
             * @throws ClassCastException if the collection contains elements that are
             *	       not <i>mutually comparable</i> (for example, strings and
             *	       integers).
             * @throws NoSuchElementException if the collection is empty.
             * @see Comparable
             */
            public static <T extends Object & Comparable<? super  T>> T min(
                    Collection<? extends T> coll) {
                Iterator<? extends T> i = coll.iterator();
                T candidate = i.next();

                while (i.hasNext()) {
                    T next = i.next();
                    if (next.compareTo(candidate) < 0)
                        candidate = next;
                }
                return candidate;
            }

            /**
             * Returns the minimum element of the given collection, according to the
             * order induced by the specified comparator.  All elements in the
             * collection must be <i>mutually comparable</i> by the specified
             * comparator (that is, <tt>comp.compare(e1, e2)</tt> must not throw a
             * <tt>ClassCastException</tt> for any elements <tt>e1</tt> and
             * <tt>e2</tt> in the collection).<p>
             *
             * This method iterates over the entire collection, hence it requires
             * time proportional to the size of the collection.
             *
             * @param  coll the collection whose minimum element is to be determined.
             * @param  comp the comparator with which to determine the minimum element.
             *         A <tt>null</tt> value indicates that the elements' <i>natural
             *         ordering</i> should be used.
             * @return the minimum element of the given collection, according
             *         to the specified comparator.
             * @throws ClassCastException if the collection contains elements that are
             *	       not <i>mutually comparable</i> using the specified comparator.
             * @throws NoSuchElementException if the collection is empty.
             * @see Comparable
             */
            public static <T> T min(Collection<? extends T> coll,
                    Comparator<? super  T> comp) {
                if (comp == null)
                    return (T) min((Collection<SelfComparable>) (Collection) coll);

                Iterator<? extends T> i = coll.iterator();
                T candidate = i.next();

                while (i.hasNext()) {
                    T next = i.next();
                    if (comp.compare(next, candidate) < 0)
                        candidate = next;
                }
                return candidate;
            }

            /**
             * Returns the maximum element of the given collection, according to the
             * <i>natural ordering</i> of its elements.  All elements in the
             * collection must implement the <tt>Comparable</tt> interface.
             * Furthermore, all elements in the collection must be <i>mutually
             * comparable</i> (that is, <tt>e1.compareTo(e2)</tt> must not throw a
             * <tt>ClassCastException</tt> for any elements <tt>e1</tt> and
             * <tt>e2</tt> in the collection).<p>
             *
             * This method iterates over the entire collection, hence it requires
             * time proportional to the size of the collection.
             *
             * @param  coll the collection whose maximum element is to be determined.
             * @return the maximum element of the given collection, according
             *         to the <i>natural ordering</i> of its elements.
             * @throws ClassCastException if the collection contains elements that are
             *	       not <i>mutually comparable</i> (for example, strings and
             *         integers).
             * @throws NoSuchElementException if the collection is empty.
             * @see Comparable
             */
            public static <T extends Object & Comparable<? super  T>> T max(
                    Collection<? extends T> coll) {
                Iterator<? extends T> i = coll.iterator();
                T candidate = i.next();

                while (i.hasNext()) {
                    T next = i.next();
                    if (next.compareTo(candidate) > 0)
                        candidate = next;
                }
                return candidate;
            }

            /**
             * Returns the maximum element of the given collection, according to the
             * order induced by the specified comparator.  All elements in the
             * collection must be <i>mutually comparable</i> by the specified
             * comparator (that is, <tt>comp.compare(e1, e2)</tt> must not throw a
             * <tt>ClassCastException</tt> for any elements <tt>e1</tt> and
             * <tt>e2</tt> in the collection).<p>
             *
             * This method iterates over the entire collection, hence it requires
             * time proportional to the size of the collection.
             *
             * @param  coll the collection whose maximum element is to be determined.
             * @param  comp the comparator with which to determine the maximum element.
             *         A <tt>null</tt> value indicates that the elements' <i>natural
             *        ordering</i> should be used.
             * @return the maximum element of the given collection, according
             *         to the specified comparator.
             * @throws ClassCastException if the collection contains elements that are
             *	       not <i>mutually comparable</i> using the specified comparator.
             * @throws NoSuchElementException if the collection is empty.
             * @see Comparable
             */
            public static <T> T max(Collection<? extends T> coll,
                    Comparator<? super  T> comp) {
                if (comp == null)
                    return (T) max((Collection<SelfComparable>) (Collection) coll);

                Iterator<? extends T> i = coll.iterator();
                T candidate = i.next();

                while (i.hasNext()) {
                    T next = i.next();
                    if (comp.compare(next, candidate) > 0)
                        candidate = next;
                }
                return candidate;
            }

            /**
             * Rotates the elements in the specified list by the specified distance.
             * After calling this method, the element at index <tt>i</tt> will be
             * the element previously at index <tt>(i - distance)</tt> mod
             * <tt>list.size()</tt>, for all values of <tt>i</tt> between <tt>0</tt>
             * and <tt>list.size()-1</tt>, inclusive.  (This method has no effect on
             * the size of the list.)
             *
             * <p>For example, suppose <tt>list</tt> comprises<tt> [t, a, n, k, s]</tt>.
             * After invoking <tt>Collections.rotate(list, 1)</tt> (or
             * <tt>Collections.rotate(list, -4)</tt>), <tt>list</tt> will comprise
             * <tt>[s, t, a, n, k]</tt>.
             *
             * <p>Note that this method can usefully be applied to sublists to
             * move one or more elements within a list while preserving the
             * order of the remaining elements.  For example, the following idiom
             * moves the element at index <tt>j</tt> forward to position
             * <tt>k</tt> (which must be greater than or equal to <tt>j</tt>):
             * <pre>
             *     Collections.rotate(list.subList(j, k+1), -1);
             * </pre>
             * To make this concrete, suppose <tt>list</tt> comprises
             * <tt>[a, b, c, d, e]</tt>.  To move the element at index <tt>1</tt>
             * (<tt>b</tt>) forward two positions, perform the following invocation:
             * <pre>
             *     Collections.rotate(l.subList(1, 4), -1);
             * </pre>
             * The resulting list is <tt>[a, c, d, b, e]</tt>.
             *
             * <p>To move more than one element forward, increase the absolute value
             * of the rotation distance.  To move elements backward, use a positive
             * shift distance.
             *
             * <p>If the specified list is small or implements the {@link
             * RandomAccess} interface, this implementation exchanges the first
             * element into the location it should go, and then repeatedly exchanges
             * the displaced element into the location it should go until a displaced
             * element is swapped into the first element.  If necessary, the process
             * is repeated on the second and successive elements, until the rotation
             * is complete.  If the specified list is large and doesn't implement the
             * <tt>RandomAccess</tt> interface, this implementation breaks the
             * list into two sublist views around index <tt>-distance mod size</tt>.
             * Then the {@link #reverse(List)} method is invoked on each sublist view,
             * and finally it is invoked on the entire list.  For a more complete
             * description of both algorithms, see Section 2.3 of Jon Bentley's
             * <i>Programming Pearls</i> (Addison-Wesley, 1986).
             *
             * @param list the list to be rotated.
             * @param distance the distance to rotate the list.  There are no
             *        constraints on this value; it may be zero, negative, or
             *        greater than <tt>list.size()</tt>.
             * @throws UnsupportedOperationException if the specified list or
             *         its list-iterator does not support the <tt>set</tt> operation.
             * @since 1.4
             */
            public static void rotate(List<?> list, int distance) {
                if (list instanceof  RandomAccess
                        || list.size() < ROTATE_THRESHOLD)
                    rotate1(list, distance);
                else
                    rotate2(list, distance);
            }

            private static <T> void rotate1(List<T> list, int distance) {
                int size = list.size();
                if (size == 0)
                    return;
                distance = distance % size;
                if (distance < 0)
                    distance += size;
                if (distance == 0)
                    return;

                for (int cycleStart = 0, nMoved = 0; nMoved != size; cycleStart++) {
                    T displaced = list.get(cycleStart);
                    int i = cycleStart;
                    do {
                        i += distance;
                        if (i >= size)
                            i -= size;
                        displaced = list.set(i, displaced);
                        nMoved++;
                    } while (i != cycleStart);
                }
            }

            private static void rotate2(List<?> list, int distance) {
                int size = list.size();
                if (size == 0)
                    return;
                int mid = -distance % size;
                if (mid < 0)
                    mid += size;
                if (mid == 0)
                    return;

                reverse(list.subList(0, mid));
                reverse(list.subList(mid, size));
                reverse(list);
            }

            /**
             * Replaces all occurrences of one specified value in a list with another.
             * More formally, replaces with <tt>newVal</tt> each element <tt>e</tt>
             * in <tt>list</tt> such that
             * <tt>(oldVal==null ? e==null : oldVal.equals(e))</tt>.
             * (This method has no effect on the size of the list.)
             *
             * @param list the list in which replacement is to occur.
             * @param oldVal the old value to be replaced.
             * @param newVal the new value with which <tt>oldVal</tt> is to be
             *        replaced.
             * @return <tt>true</tt> if <tt>list</tt> contained one or more elements
             *         <tt>e</tt> such that
             *         <tt>(oldVal==null ?  e==null : oldVal.equals(e))</tt>.
             * @throws UnsupportedOperationException if the specified list or
             *         its list-iterator does not support the <tt>set</tt> operation.
             * @since  1.4
             */
            public static <T> boolean replaceAll(List<T> list, T oldVal,
                    T newVal) {
                boolean result = false;
                int size = list.size();
                if (size < REPLACEALL_THRESHOLD || list instanceof  RandomAccess) {
                    if (oldVal == null) {
                        for (int i = 0; i < size; i++) {
                            if (list.get(i) == null) {
                                list.set(i, newVal);
                                result = true;
                            }
                        }
                    } else {
                        for (int i = 0; i < size; i++) {
                            if (oldVal.equals(list.get(i))) {
                                list.set(i, newVal);
                                result = true;
                            }
                        }
                    }
                } else {
                    ListIterator<T> itr = list.listIterator();
                    if (oldVal == null) {
                        for (int i = 0; i < size; i++) {
                            if (itr.next() == null) {
                                itr.set(newVal);
                                result = true;
                            }
                        }
                    } else {
                        for (int i = 0; i < size; i++) {
                            if (oldVal.equals(itr.next())) {
                                itr.set(newVal);
                                result = true;
                            }
                        }
                    }
                }
                return result;
            }

            /**
             * Returns the starting position of the first occurrence of the specified
             * target list within the specified source list, or -1 if there is no
             * such occurrence.  More formally, returns the lowest index <tt>i</tt>
             * such that <tt>source.subList(i, i+target.size()).equals(target)</tt>,
             * or -1 if there is no such index.  (Returns -1 if
             * <tt>target.size() > source.size()</tt>.)
             *
             * <p>This implementation uses the "brute force" technique of scanning
             * over the source list, looking for a match with the target at each
             * location in turn.
             *
             * @param source the list in which to search for the first occurrence
             *        of <tt>target</tt>.
             * @param target the list to search for as a subList of <tt>source</tt>.
             * @return the starting position of the first occurrence of the specified
             *         target list within the specified source list, or -1 if there
             *         is no such occurrence.
             * @since  1.4
             */
            public static int indexOfSubList(List<?> source, List<?> target) {
                int sourceSize = source.size();
                int targetSize = target.size();
                int maxCandidate = sourceSize - targetSize;

                if (sourceSize < INDEXOFSUBLIST_THRESHOLD
                        || (source instanceof  RandomAccess && target instanceof  RandomAccess)) {
                    nextCand: for (int candidate = 0; candidate <= maxCandidate; candidate++) {
                        for (int i = 0, j = candidate; i < targetSize; i++, j++)
                            if (!eq(target.get(i), source.get(j)))
                                continue nextCand; // Element mismatch, try next cand
                        return candidate; // All elements of candidate matched target
                    }
                } else { // Iterator version of above algorithm
                    ListIterator<?> si = source.listIterator();
                    nextCand: for (int candidate = 0; candidate <= maxCandidate; candidate++) {
                        ListIterator<?> ti = target.listIterator();
                        for (int i = 0; i < targetSize; i++) {
                            if (!eq(ti.next(), si.next())) {
                                // Back up source iterator to next candidate
                                for (int j = 0; j < i; j++)
                                    si.previous();
                                continue nextCand;
                            }
                        }
                        return candidate;
                    }
                }
                return -1; // No candidate matched the target
            }

            /**
             * Returns the starting position of the last occurrence of the specified
             * target list within the specified source list, or -1 if there is no such
             * occurrence.  More formally, returns the highest index <tt>i</tt>
             * such that <tt>source.subList(i, i+target.size()).equals(target)</tt>,
             * or -1 if there is no such index.  (Returns -1 if
             * <tt>target.size() > source.size()</tt>.)
             *
             * <p>This implementation uses the "brute force" technique of iterating
             * over the source list, looking for a match with the target at each
             * location in turn.
             *
             * @param source the list in which to search for the last occurrence
             *        of <tt>target</tt>.
             * @param target the list to search for as a subList of <tt>source</tt>.
             * @return the starting position of the last occurrence of the specified
             *         target list within the specified source list, or -1 if there
             *         is no such occurrence.
             * @since  1.4
             */
            public static int lastIndexOfSubList(List<?> source, List<?> target) {
                int sourceSize = source.size();
                int targetSize = target.size();
                int maxCandidate = sourceSize - targetSize;

                if (sourceSize < INDEXOFSUBLIST_THRESHOLD
                        || source instanceof  RandomAccess) { // Index access version
                    nextCand: for (int candidate = maxCandidate; candidate >= 0; candidate--) {
                        for (int i = 0, j = candidate; i < targetSize; i++, j++)
                            if (!eq(target.get(i), source.get(j)))
                                continue nextCand; // Element mismatch, try next cand
                        return candidate; // All elements of candidate matched target
                    }
                } else { // Iterator version of above algorithm
                    if (maxCandidate < 0)
                        return -1;
                    ListIterator<?> si = source.listIterator(maxCandidate);
                    nextCand: for (int candidate = maxCandidate; candidate >= 0; candidate--) {
                        ListIterator<?> ti = target.listIterator();
                        for (int i = 0; i < targetSize; i++) {
                            if (!eq(ti.next(), si.next())) {
                                if (candidate != 0) {
                                    // Back up source iterator to next candidate
                                    for (int j = 0; j <= i + 1; j++)
                                        si.previous();
                                }
                                continue nextCand;
                            }
                        }
                        return candidate;
                    }
                }
                return -1; // No candidate matched the target
            }

            // Unmodifiable Wrappers

            /**
             * Returns an unmodifiable view of the specified collection.  This method
             * allows modules to provide users with "read-only" access to internal
             * collections.  Query operations on the returned collection "read through"
             * to the specified collection, and attempts to modify the returned
             * collection, whether direct or via its iterator, result in an
             * <tt>UnsupportedOperationException</tt>.<p>
             *
             * The returned collection does <i>not</i> pass the hashCode and equals
             * operations through to the backing collection, but relies on
             * <tt>Object</tt>'s <tt>equals</tt> and <tt>hashCode</tt> methods.  This
             * is necessary to preserve the contracts of these operations in the case
             * that the backing collection is a set or a list.<p>
             *
             * The returned collection will be serializable if the specified collection
             * is serializable.
             *
             * @param  c the collection for which an unmodifiable view is to be
             *	       returned.
             * @return an unmodifiable view of the specified collection.
             */
            public static <T> Collection<T> unmodifiableCollection(
                    Collection<? extends T> c) {
                return new UnmodifiableCollection<T>(c);
            }

            /**
             * @serial include
             */
            static class UnmodifiableCollection<E> implements  Collection<E>,
                    Serializable {
                private static final long serialVersionUID = 1820017752578914078L;

                final Collection<? extends E> c;

                UnmodifiableCollection(Collection<? extends E> c) {
                    if (c == null)
                        throw new NullPointerException();
                    this .c = c;
                }

                public int size() {
                    return c.size();
                }

                public boolean isEmpty() {
                    return c.isEmpty();
                }

                public boolean contains(Object o) {
                    return c.contains(o);
                }

                public Object[] toArray() {
                    return c.toArray();
                }

                public <T> T[] toArray(T[] a) {
                    return c.toArray(a);
                }

                public String toString() {
                    return c.toString();
                }

                public Iterator<E> iterator() {
                    return new Iterator<E>() {
                        private final Iterator<? extends E> i = c.iterator();

                        public boolean hasNext() {
                            return i.hasNext();
                        }

                        public E next() {
                            return i.next();
                        }

                        public void remove() {
                            throw new UnsupportedOperationException();
                        }
                    };
                }

                public boolean add(E e) {
                    throw new UnsupportedOperationException();
                }

                public boolean remove(Object o) {
                    throw new UnsupportedOperationException();
                }

                public boolean containsAll(Collection<?> coll) {
                    return c.containsAll(coll);
                }

                public boolean addAll(Collection<? extends E> coll) {
                    throw new UnsupportedOperationException();
                }

                public boolean removeAll(Collection<?> coll) {
                    throw new UnsupportedOperationException();
                }

                public boolean retainAll(Collection<?> coll) {
                    throw new UnsupportedOperationException();
                }

                public void clear() {
                    throw new UnsupportedOperationException();
                }
            }

            /**
             * Returns an unmodifiable view of the specified set.  This method allows
             * modules to provide users with "read-only" access to internal sets.
             * Query operations on the returned set "read through" to the specified
             * set, and attempts to modify the returned set, whether direct or via its
             * iterator, result in an <tt>UnsupportedOperationException</tt>.<p>
             *
             * The returned set will be serializable if the specified set
             * is serializable.
             *
             * @param  s the set for which an unmodifiable view is to be returned.
             * @return an unmodifiable view of the specified set.
             */
            public static <T> Set<T> unmodifiableSet(Set<? extends T> s) {
                return new UnmodifiableSet<T>(s);
            }

            /**
             * @serial include
             */
            static class UnmodifiableSet<E> extends UnmodifiableCollection<E>
                    implements  Set<E>, Serializable {
                private static final long serialVersionUID = -9215047833775013803L;

                UnmodifiableSet(Set<? extends E> s) {
                    super (s);
                }

                public boolean equals(Object o) {
                    return o == this  || c.equals(o);
                }

                public int hashCode() {
                    return c.hashCode();
                }
            }

            /**
             * Returns an unmodifiable view of the specified sorted set.  This method
             * allows modules to provide users with "read-only" access to internal
             * sorted sets.  Query operations on the returned sorted set "read
             * through" to the specified sorted set.  Attempts to modify the returned
             * sorted set, whether direct, via its iterator, or via its
             * <tt>subSet</tt>, <tt>headSet</tt>, or <tt>tailSet</tt> views, result in
             * an <tt>UnsupportedOperationException</tt>.<p>
             *
             * The returned sorted set will be serializable if the specified sorted set
             * is serializable.
             *
             * @param s the sorted set for which an unmodifiable view is to be
             *        returned.
             * @return an unmodifiable view of the specified sorted set.
             */
            public static <T> SortedSet<T> unmodifiableSortedSet(SortedSet<T> s) {
                return new UnmodifiableSortedSet<T>(s);
            }

            /**
             * @serial include
             */
            static class UnmodifiableSortedSet<E> extends UnmodifiableSet<E>
                    implements  SortedSet<E>, Serializable {
                private static final long serialVersionUID = -4929149591599911165L;
                private final SortedSet<E> ss;

                UnmodifiableSortedSet(SortedSet<E> s) {
                    super (s);
                    ss = s;
                }

                public Comparator<? super  E> comparator() {
                    return ss.comparator();
                }

                public SortedSet<E> subSet(E fromElement, E toElement) {
                    return new UnmodifiableSortedSet<E>(ss.subSet(fromElement,
                            toElement));
                }

                public SortedSet<E> headSet(E toElement) {
                    return new UnmodifiableSortedSet<E>(ss.headSet(toElement));
                }

                public SortedSet<E> tailSet(E fromElement) {
                    return new UnmodifiableSortedSet<E>(ss.tailSet(fromElement));
                }

                public E first() {
                    return ss.first();
                }

                public E last() {
                    return ss.last();
                }
            }

            /**
             * Returns an unmodifiable view of the specified list.  This method allows
             * modules to provide users with "read-only" access to internal
             * lists.  Query operations on the returned list "read through" to the
             * specified list, and attempts to modify the returned list, whether
             * direct or via its iterator, result in an
             * <tt>UnsupportedOperationException</tt>.<p>
             *
             * The returned list will be serializable if the specified list
             * is serializable. Similarly, the returned list will implement
             * {@link RandomAccess} if the specified list does.
             *
             * @param  list the list for which an unmodifiable view is to be returned.
             * @return an unmodifiable view of the specified list.
             */
            public static <T> List<T> unmodifiableList(List<? extends T> list) {
                return (list instanceof  RandomAccess ? new UnmodifiableRandomAccessList<T>(
                        list)
                        : new UnmodifiableList<T>(list));
            }

            /**
             * @serial include
             */
            static class UnmodifiableList<E> extends UnmodifiableCollection<E>
                    implements  List<E> {
                private static final long serialVersionUID = -283967356065247728L;
                final List<? extends E> list;

                UnmodifiableList(List<? extends E> list) {
                    super (list);
                    this .list = list;
                }

                public boolean equals(Object o) {
                    return o == this  || list.equals(o);
                }

                public int hashCode() {
                    return list.hashCode();
                }

                public E get(int index) {
                    return list.get(index);
                }

                public E set(int index, E element) {
                    throw new UnsupportedOperationException();
                }

                public void add(int index, E element) {
                    throw new UnsupportedOperationException();
                }

                public E remove(int index) {
                    throw new UnsupportedOperationException();
                }

                public int indexOf(Object o) {
                    return list.indexOf(o);
                }

                public int lastIndexOf(Object o) {
                    return list.lastIndexOf(o);
                }

                public boolean addAll(int index, Collection<? extends E> c) {
                    throw new UnsupportedOperationException();
                }

                public ListIterator<E> listIterator() {
                    return listIterator(0);
                }

                public ListIterator<E> listIterator(final int index) {
                    return new ListIterator<E>() {
                        private final ListIterator<? extends E> i = list
                                .listIterator(index);

                        public boolean hasNext() {
                            return i.hasNext();
                        }

                        public E next() {
                            return i.next();
                        }

                        public boolean hasPrevious() {
                            return i.hasPrevious();
                        }

                        public E previous() {
                            return i.previous();
                        }

                        public int nextIndex() {
                            return i.nextIndex();
                        }

                        public int previousIndex() {
                            return i.previousIndex();
                        }

                        public void remove() {
                            throw new UnsupportedOperationException();
                        }

                        public void set(E e) {
                            throw new UnsupportedOperationException();
                        }

                        public void add(E e) {
                            throw new UnsupportedOperationException();
                        }
                    };
                }

                public List<E> subList(int fromIndex, int toIndex) {
                    return new UnmodifiableList<E>(list.subList(fromIndex,
                            toIndex));
                }

                /**
                 * UnmodifiableRandomAccessList instances are serialized as
                 * UnmodifiableList instances to allow them to be deserialized
                 * in pre-1.4 JREs (which do not have UnmodifiableRandomAccessList).
                 * This method inverts the transformation.  As a beneficial
                 * side-effect, it also grafts the RandomAccess marker onto
                 * UnmodifiableList instances that were serialized in pre-1.4 JREs.
                 *
                 * Note: Unfortunately, UnmodifiableRandomAccessList instances
                 * serialized in 1.4.1 and deserialized in 1.4 will become
                 * UnmodifiableList instances, as this method was missing in 1.4.
                 */
                private Object readResolve() {
                    return (list instanceof  RandomAccess ? new UnmodifiableRandomAccessList<E>(
                            list)
                            : this );
                }
            }

            /**
             * @serial include
             */
            static class UnmodifiableRandomAccessList<E> extends
                    UnmodifiableList<E> implements  RandomAccess {
                UnmodifiableRandomAccessList(List<? extends E> list) {
                    super (list);
                }

                public List<E> subList(int fromIndex, int toIndex) {
                    return new UnmodifiableRandomAccessList<E>(list.subList(
                            fromIndex, toIndex));
                }

                private static final long serialVersionUID = -2542308836966382001L;

                /**
                 * Allows instances to be deserialized in pre-1.4 JREs (which do
                 * not have UnmodifiableRandomAccessList).  UnmodifiableList has
                 * a readResolve method that inverts this transformation upon
                 * deserialization.
                 */
                private Object writeReplace() {
                    return new UnmodifiableList<E>(list);
                }
            }

            /**
             * Returns an unmodifiable view of the specified map.  This method
             * allows modules to provide users with "read-only" access to internal
             * maps.  Query operations on the returned map "read through"
             * to the specified map, and attempts to modify the returned
             * map, whether direct or via its collection views, result in an
             * <tt>UnsupportedOperationException</tt>.<p>
             *
             * The returned map will be serializable if the specified map
             * is serializable.
             *
             * @param  m the map for which an unmodifiable view is to be returned.
             * @return an unmodifiable view of the specified map.
             */
            public static <K, V> Map<K, V> unmodifiableMap(
                    Map<? extends K, ? extends V> m) {
                return new UnmodifiableMap<K, V>(m);
            }

            /**
             * @serial include
             */
            private static class UnmodifiableMap<K, V> implements  Map<K, V>,
                    Serializable {
                private static final long serialVersionUID = -1034234728574286014L;

                private final Map<? extends K, ? extends V> m;

                UnmodifiableMap(Map<? extends K, ? extends V> m) {
                    if (m == null)
                        throw new NullPointerException();
                    this .m = m;
                }

                public int size() {
                    return m.size();
                }

                public boolean isEmpty() {
                    return m.isEmpty();
                }

                public boolean containsKey(Object key) {
                    return m.containsKey(key);
                }

                public boolean containsValue(Object val) {
                    return m.containsValue(val);
                }

                public V get(Object key) {
                    return m.get(key);
                }

                public V put(K key, V value) {
                    throw new UnsupportedOperationException();
                }

                public V remove(Object key) {
                    throw new UnsupportedOperationException();
                }

                public void putAll(Map<? extends K, ? extends V> m) {
                    throw new UnsupportedOperationException();
                }

                public void clear() {
                    throw new UnsupportedOperationException();
                }

                private transient Set<K> keySet = null;
                private transient Set<Map.Entry<K, V>> entrySet = null;
                private transient Collection<V> values = null;

                public Set<K> keySet() {
                    if (keySet == null)
                        keySet = unmodifiableSet(m.keySet());
                    return keySet;
                }

                public Set<Map.Entry<K, V>> entrySet() {
                    if (entrySet == null)
                        entrySet = new UnmodifiableEntrySet<K, V>(m.entrySet());
                    return entrySet;
                }

                public Collection<V> values() {
                    if (values == null)
                        values = unmodifiableCollection(m.values());
                    return values;
                }

                public boolean equals(Object o) {
                    return o == this  || m.equals(o);
                }

                public int hashCode() {
                    return m.hashCode();
                }

                public String toString() {
                    return m.toString();
                }

                /**
                 * We need this class in addition to UnmodifiableSet as
                 * Map.Entries themselves permit modification of the backing Map
                 * via their setValue operation.  This class is subtle: there are
                 * many possible attacks that must be thwarted.
                 *
                 * @serial include
                 */
                static class UnmodifiableEntrySet<K, V> extends
                        UnmodifiableSet<Map.Entry<K, V>> {
                    private static final long serialVersionUID = 7854390611657943733L;

                    UnmodifiableEntrySet(
                            Set<? extends Map.Entry<? extends K, ? extends V>> s) {
                        super ((Set) s);
                    }

                    public Iterator<Map.Entry<K, V>> iterator() {
                        return new Iterator<Map.Entry<K, V>>() {
                            private final Iterator<? extends Map.Entry<? extends K, ? extends V>> i = c
                                    .iterator();

                            public boolean hasNext() {
                                return i.hasNext();
                            }

                            public Map.Entry<K, V> next() {
                                return new UnmodifiableEntry<K, V>(i.next());
                            }

                            public void remove() {
                                throw new UnsupportedOperationException();
                            }
                        };
                    }

                    public Object[] toArray() {
                        Object[] a = c.toArray();
                        for (int i = 0; i < a.length; i++)
                            a[i] = new UnmodifiableEntry<K, V>(
                                    (Map.Entry<K, V>) a[i]);
                        return a;
                    }

                    public <T> T[] toArray(T[] a) {
                        // We don't pass a to c.toArray, to avoid window of
                        // vulnerability wherein an unscrupulous multithreaded client
                        // could get his hands on raw (unwrapped) Entries from c.
                        Object[] arr = c.toArray(a.length == 0 ? a : Arrays
                                .copyOf(a, 0));

                        for (int i = 0; i < arr.length; i++)
                            arr[i] = new UnmodifiableEntry<K, V>(
                                    (Map.Entry<K, V>) arr[i]);

                        if (arr.length > a.length)
                            return (T[]) arr;

                        System.arraycopy(arr, 0, a, 0, arr.length);
                        if (a.length > arr.length)
                            a[arr.length] = null;
                        return a;
                    }

                    /**
                     * This method is overridden to protect the backing set against
                     * an object with a nefarious equals function that senses
                     * that the equality-candidate is Map.Entry and calls its
                     * setValue method.
                     */
                    public boolean contains(Object o) {
                        if (!(o instanceof  Map.Entry))
                            return false;
                        return c.contains(new UnmodifiableEntry<K, V>(
                                (Map.Entry<K, V>) o));
                    }

                    /**
                     * The next two methods are overridden to protect against
                     * an unscrupulous List whose contains(Object o) method senses
                     * when o is a Map.Entry, and calls o.setValue.
                     */
                    public boolean containsAll(Collection<?> coll) {
                        Iterator<?> e = coll.iterator();
                        while (e.hasNext())
                            if (!contains(e.next())) // Invokes safe contains() above
                                return false;
                        return true;
                    }

                    public boolean equals(Object o) {
                        if (o == this )
                            return true;

                        if (!(o instanceof  Set))
                            return false;
                        Set s = (Set) o;
                        if (s.size() != c.size())
                            return false;
                        return containsAll(s); // Invokes safe containsAll() above
                    }

                    /**
                     * This "wrapper class" serves two purposes: it prevents
                     * the client from modifying the backing Map, by short-circuiting
                     * the setValue method, and it protects the backing Map against
                     * an ill-behaved Map.Entry that attempts to modify another
                     * Map Entry when asked to perform an equality check.
                     */
                    private static class UnmodifiableEntry<K, V> implements 
                            Map.Entry<K, V> {
                        private Map.Entry<? extends K, ? extends V> e;

                        UnmodifiableEntry(Map.Entry<? extends K, ? extends V> e) {
                            this .e = e;
                        }

                        public K getKey() {
                            return e.getKey();
                        }

                        public V getValue() {
                            return e.getValue();
                        }

                        public V setValue(V value) {
                            throw new UnsupportedOperationException();
                        }

                        public int hashCode() {
                            return e.hashCode();
                        }

                        public boolean equals(Object o) {
                            if (!(o instanceof  Map.Entry))
                                return false;
                            Map.Entry t = (Map.Entry) o;
                            return eq(e.getKey(), t.getKey())
                                    && eq(e.getValue(), t.getValue());
                        }

                        public String toString() {
                            return e.toString();
                        }
                    }
                }
            }

            /**
             * Returns an unmodifiable view of the specified sorted map.  This method
             * allows modules to provide users with "read-only" access to internal
             * sorted maps.  Query operations on the returned sorted map "read through"
             * to the specified sorted map.  Attempts to modify the returned
             * sorted map, whether direct, via its collection views, or via its
             * <tt>subMap</tt>, <tt>headMap</tt>, or <tt>tailMap</tt> views, result in
             * an <tt>UnsupportedOperationException</tt>.<p>
             *
             * The returned sorted map will be serializable if the specified sorted map
             * is serializable.
             *
             * @param m the sorted map for which an unmodifiable view is to be
             *        returned.
             * @return an unmodifiable view of the specified sorted map.
             */
            public static <K, V> SortedMap<K, V> unmodifiableSortedMap(
                    SortedMap<K, ? extends V> m) {
                return new UnmodifiableSortedMap<K, V>(m);
            }

            /**
             * @serial include
             */
            static class UnmodifiableSortedMap<K, V> extends
                    UnmodifiableMap<K, V> implements  SortedMap<K, V>,
                    Serializable {
                private static final long serialVersionUID = -8806743815996713206L;

                private final SortedMap<K, ? extends V> sm;

                UnmodifiableSortedMap(SortedMap<K, ? extends V> m) {
                    super (m);
                    sm = m;
                }

                public Comparator<? super  K> comparator() {
                    return sm.comparator();
                }

                public SortedMap<K, V> subMap(K fromKey, K toKey) {
                    return new UnmodifiableSortedMap<K, V>(sm.subMap(fromKey,
                            toKey));
                }

                public SortedMap<K, V> headMap(K toKey) {
                    return new UnmodifiableSortedMap<K, V>(sm.headMap(toKey));
                }

                public SortedMap<K, V> tailMap(K fromKey) {
                    return new UnmodifiableSortedMap<K, V>(sm.tailMap(fromKey));
                }

                public K firstKey() {
                    return sm.firstKey();
                }

                public K lastKey() {
                    return sm.lastKey();
                }
            }

            // Synch Wrappers

            /**
             * Returns a synchronized (thread-safe) collection backed by the specified
             * collection.  In order to guarantee serial access, it is critical that
             * <strong>all</strong> access to the backing collection is accomplished
             * through the returned collection.<p>
             *
             * It is imperative that the user manually synchronize on the returned
             * collection when iterating over it:
             * <pre>
             *  Collection c = Collections.synchronizedCollection(myCollection);
             *     ...
             *  synchronized(c) {
             *      Iterator i = c.iterator(); // Must be in the synchronized block
             *      while (i.hasNext())
             *         foo(i.next());
             *  }
             * </pre>
             * Failure to follow this advice may result in non-deterministic behavior.
             *
             * <p>The returned collection does <i>not</i> pass the <tt>hashCode</tt>
             * and <tt>equals</tt> operations through to the backing collection, but
             * relies on <tt>Object</tt>'s equals and hashCode methods.  This is
             * necessary to preserve the contracts of these operations in the case
             * that the backing collection is a set or a list.<p>
             *
             * The returned collection will be serializable if the specified collection
             * is serializable.
             *
             * @param  c the collection to be "wrapped" in a synchronized collection.
             * @return a synchronized view of the specified collection.
             */
            public static <T> Collection<T> synchronizedCollection(
                    Collection<T> c) {
                return new SynchronizedCollection<T>(c);
            }

            static <T> Collection<T> synchronizedCollection(Collection<T> c,
                    Object mutex) {
                return new SynchronizedCollection<T>(c, mutex);
            }

            /**
             * @serial include
             */
            static class SynchronizedCollection<E> implements  Collection<E>,
                    Serializable {
                private static final long serialVersionUID = 3053995032091335093L;

                final Collection<E> c; // Backing Collection
                final Object mutex; // Object on which to synchronize

                SynchronizedCollection(Collection<E> c) {
                    if (c == null)
                        throw new NullPointerException();
                    this .c = c;
                    mutex = this ;
                }

                SynchronizedCollection(Collection<E> c, Object mutex) {
                    this .c = c;
                    this .mutex = mutex;
                }

                public int size() {
                    synchronized (mutex) {
                        return c.size();
                    }
                }

                public boolean isEmpty() {
                    synchronized (mutex) {
                        return c.isEmpty();
                    }
                }

                public boolean contains(Object o) {
                    synchronized (mutex) {
                        return c.contains(o);
                    }
                }

                public Object[] toArray() {
                    synchronized (mutex) {
                        return c.toArray();
                    }
                }

                public <T> T[] toArray(T[] a) {
                    synchronized (mutex) {
                        return c.toArray(a);
                    }
                }

                public Iterator<E> iterator() {
                    return c.iterator(); // Must be manually synched by user!
                }

                public boolean add(E e) {
                    synchronized (mutex) {
                        return c.add(e);
                    }
                }

                public boolean remove(Object o) {
                    synchronized (mutex) {
                        return c.remove(o);
                    }
                }

                public boolean containsAll(Collection<?> coll) {
                    synchronized (mutex) {
                        return c.containsAll(coll);
                    }
                }

                public boolean addAll(Collection<? extends E> coll) {
                    synchronized (mutex) {
                        return c.addAll(coll);
                    }
                }

                public boolean removeAll(Collection<?> coll) {
                    synchronized (mutex) {
                        return c.removeAll(coll);
                    }
                }

                public boolean retainAll(Collection<?> coll) {
                    synchronized (mutex) {
                        return c.retainAll(coll);
                    }
                }

                public void clear() {
                    synchronized (mutex) {
                        c.clear();
                    }
                }

                public String toString() {
                    synchronized (mutex) {
                        return c.toString();
                    }
                }

                private void writeObject(ObjectOutputStream s)
                        throws IOException {
                    synchronized (mutex) {
                        s.defaultWriteObject();
                    }
                }
            }

            /**
             * Returns a synchronized (thread-safe) set backed by the specified
             * set.  In order to guarantee serial access, it is critical that
             * <strong>all</strong> access to the backing set is accomplished
             * through the returned set.<p>
             *
             * It is imperative that the user manually synchronize on the returned
             * set when iterating over it:
             * <pre>
             *  Set s = Collections.synchronizedSet(new HashSet());
             *      ...
             *  synchronized(s) {
             *      Iterator i = s.iterator(); // Must be in the synchronized block
             *      while (i.hasNext())
             *          foo(i.next());
             *  }
             * </pre>
             * Failure to follow this advice may result in non-deterministic behavior.
             *
             * <p>The returned set will be serializable if the specified set is
             * serializable.
             *
             * @param  s the set to be "wrapped" in a synchronized set.
             * @return a synchronized view of the specified set.
             */
            public static <T> Set<T> synchronizedSet(Set<T> s) {
                return new SynchronizedSet<T>(s);
            }

            static <T> Set<T> synchronizedSet(Set<T> s, Object mutex) {
                return new SynchronizedSet<T>(s, mutex);
            }

            /**
             * @serial include
             */
            static class SynchronizedSet<E> extends SynchronizedCollection<E>
                    implements  Set<E> {
                private static final long serialVersionUID = 487447009682186044L;

                SynchronizedSet(Set<E> s) {
                    super (s);
                }

                SynchronizedSet(Set<E> s, Object mutex) {
                    super (s, mutex);
                }

                public boolean equals(Object o) {
                    synchronized (mutex) {
                        return c.equals(o);
                    }
                }

                public int hashCode() {
                    synchronized (mutex) {
                        return c.hashCode();
                    }
                }
            }

            /**
             * Returns a synchronized (thread-safe) sorted set backed by the specified
             * sorted set.  In order to guarantee serial access, it is critical that
             * <strong>all</strong> access to the backing sorted set is accomplished
             * through the returned sorted set (or its views).<p>
             *
             * It is imperative that the user manually synchronize on the returned
             * sorted set when iterating over it or any of its <tt>subSet</tt>,
             * <tt>headSet</tt>, or <tt>tailSet</tt> views.
             * <pre>
             *  SortedSet s = Collections.synchronizedSortedSet(new TreeSet());
             *      ...
             *  synchronized(s) {
             *      Iterator i = s.iterator(); // Must be in the synchronized block
             *      while (i.hasNext())
             *          foo(i.next());
             *  }
             * </pre>
             * or:
             * <pre>
             *  SortedSet s = Collections.synchronizedSortedSet(new TreeSet());
             *  SortedSet s2 = s.headSet(foo);
             *      ...
             *  synchronized(s) {  // Note: s, not s2!!!
             *      Iterator i = s2.iterator(); // Must be in the synchronized block
             *      while (i.hasNext())
             *          foo(i.next());
             *  }
             * </pre>
             * Failure to follow this advice may result in non-deterministic behavior.
             *
             * <p>The returned sorted set will be serializable if the specified
             * sorted set is serializable.
             *
             * @param  s the sorted set to be "wrapped" in a synchronized sorted set.
             * @return a synchronized view of the specified sorted set.
             */
            public static <T> SortedSet<T> synchronizedSortedSet(SortedSet<T> s) {
                return new SynchronizedSortedSet<T>(s);
            }

            /**
             * @serial include
             */
            static class SynchronizedSortedSet<E> extends SynchronizedSet<E>
                    implements  SortedSet<E> {
                private static final long serialVersionUID = 8695801310862127406L;

                final private SortedSet<E> ss;

                SynchronizedSortedSet(SortedSet<E> s) {
                    super (s);
                    ss = s;
                }

                SynchronizedSortedSet(SortedSet<E> s, Object mutex) {
                    super (s, mutex);
                    ss = s;
                }

                public Comparator<? super  E> comparator() {
                    synchronized (mutex) {
                        return ss.comparator();
                    }
                }

                public SortedSet<E> subSet(E fromElement, E toElement) {
                    synchronized (mutex) {
                        return new SynchronizedSortedSet<E>(ss.subSet(
                                fromElement, toElement), mutex);
                    }
                }

                public SortedSet<E> headSet(E toElement) {
                    synchronized (mutex) {
                        return new SynchronizedSortedSet<E>(ss
                                .headSet(toElement), mutex);
                    }
                }

                public SortedSet<E> tailSet(E fromElement) {
                    synchronized (mutex) {
                        return new SynchronizedSortedSet<E>(ss
                                .tailSet(fromElement), mutex);
                    }
                }

                public E first() {
                    synchronized (mutex) {
                        return ss.first();
                    }
                }

                public E last() {
                    synchronized (mutex) {
                        return ss.last();
                    }
                }
            }

            /**
             * Returns a synchronized (thread-safe) list backed by the specified
             * list.  In order to guarantee serial access, it is critical that
             * <strong>all</strong> access to the backing list is accomplished
             * through the returned list.<p>
             *
             * It is imperative that the user manually synchronize on the returned
             * list when iterating over it:
             * <pre>
             *  List list = Collections.synchronizedList(new ArrayList());
             *      ...
             *  synchronized(list) {
             *      Iterator i = list.iterator(); // Must be in synchronized block
             *      while (i.hasNext())
             *          foo(i.next());
             *  }
             * </pre>
             * Failure to follow this advice may result in non-deterministic behavior.
             *
             * <p>The returned list will be serializable if the specified list is
             * serializable.
             *
             * @param  list the list to be "wrapped" in a synchronized list.
             * @return a synchronized view of the specified list.
             */
            public static <T> List<T> synchronizedList(List<T> list) {
                return (list instanceof  RandomAccess ? new SynchronizedRandomAccessList<T>(
                        list)
                        : new SynchronizedList<T>(list));
            }

            static <T> List<T> synchronizedList(List<T> list, Object mutex) {
                return (list instanceof  RandomAccess ? new SynchronizedRandomAccessList<T>(
                        list, mutex)
                        : new SynchronizedList<T>(list, mutex));
            }

            /**
             * @serial include
             */
            static class SynchronizedList<E> extends SynchronizedCollection<E>
                    implements  List<E> {
                private static final long serialVersionUID = -7754090372962971524L;

                final List<E> list;

                SynchronizedList(List<E> list) {
                    super (list);
                    this .list = list;
                }

                SynchronizedList(List<E> list, Object mutex) {
                    super (list, mutex);
                    this .list = list;
                }

                public boolean equals(Object o) {
                    synchronized (mutex) {
                        return list.equals(o);
                    }
                }

                public int hashCode() {
                    synchronized (mutex) {
                        return list.hashCode();
                    }
                }

                public E get(int index) {
                    synchronized (mutex) {
                        return list.get(index);
                    }
                }

                public E set(int index, E element) {
                    synchronized (mutex) {
                        return list.set(index, element);
                    }
                }

                public void add(int index, E element) {
                    synchronized (mutex) {
                        list.add(index, element);
                    }
                }

                public E remove(int index) {
                    synchronized (mutex) {
                        return list.remove(index);
                    }
                }

                public int indexOf(Object o) {
                    synchronized (mutex) {
                        return list.indexOf(o);
                    }
                }

                public int lastIndexOf(Object o) {
                    synchronized (mutex) {
                        return list.lastIndexOf(o);
                    }
                }

                public boolean addAll(int index, Collection<? extends E> c) {
                    synchronized (mutex) {
                        return list.addAll(index, c);
                    }
                }

                public ListIterator<E> listIterator() {
                    return list.listIterator(); // Must be manually synched by user
                }

                public ListIterator<E> listIterator(int index) {
                    return list.listIterator(index); // Must be manually synched by user
                }

                public List<E> subList(int fromIndex, int toIndex) {
                    synchronized (mutex) {
                        return new SynchronizedList<E>(list.subList(fromIndex,
                                toIndex), mutex);
                    }
                }

                /**
                 * SynchronizedRandomAccessList instances are serialized as
                 * SynchronizedList instances to allow them to be deserialized
                 * in pre-1.4 JREs (which do not have SynchronizedRandomAccessList).
                 * This method inverts the transformation.  As a beneficial
                 * side-effect, it also grafts the RandomAccess marker onto
                 * SynchronizedList instances that were serialized in pre-1.4 JREs.
                 *
                 * Note: Unfortunately, SynchronizedRandomAccessList instances
                 * serialized in 1.4.1 and deserialized in 1.4 will become
                 * SynchronizedList instances, as this method was missing in 1.4.
                 */
                private Object readResolve() {
                    return (list instanceof  RandomAccess ? new SynchronizedRandomAccessList<E>(
                            list)
                            : this );
                }
            }

            /**
             * @serial include
             */
            static class SynchronizedRandomAccessList<E> extends
                    SynchronizedList<E> implements  RandomAccess {

                SynchronizedRandomAccessList(List<E> list) {
                    super (list);
                }

                SynchronizedRandomAccessList(List<E> list, Object mutex) {
                    super (list, mutex);
                }

                public List<E> subList(int fromIndex, int toIndex) {
                    synchronized (mutex) {
                        return new SynchronizedRandomAccessList<E>(list
                                .subList(fromIndex, toIndex), mutex);
                    }
                }

                private static final long serialVersionUID = 1530674583602358482L;

                /**
                 * Allows instances to be deserialized in pre-1.4 JREs (which do
                 * not have SynchronizedRandomAccessList).  SynchronizedList has
                 * a readResolve method that inverts this transformation upon
                 * deserialization.
                 */
                private Object writeReplace() {
                    return new SynchronizedList<E>(list);
                }
            }

            /**
             * Returns a synchronized (thread-safe) map backed by the specified
             * map.  In order to guarantee serial access, it is critical that
             * <strong>all</strong> access to the backing map is accomplished
             * through the returned map.<p>
             *
             * It is imperative that the user manually synchronize on the returned
             * map when iterating over any of its collection views:
             * <pre>
             *  Map m = Collections.synchronizedMap(new HashMap());
             *      ...
             *  Set s = m.keySet();  // Needn't be in synchronized block
             *      ...
             *  synchronized(m) {  // Synchronizing on m, not s!
             *      Iterator i = s.iterator(); // Must be in synchronized block
             *      while (i.hasNext())
             *          foo(i.next());
             *  }
             * </pre>
             * Failure to follow this advice may result in non-deterministic behavior.
             *
             * <p>The returned map will be serializable if the specified map is
             * serializable.
             *
             * @param  m the map to be "wrapped" in a synchronized map.
             * @return a synchronized view of the specified map.
             */
            public static <K, V> Map<K, V> synchronizedMap(Map<K, V> m) {
                return new SynchronizedMap<K, V>(m);
            }

            /**
             * @serial include
             */
            private static class SynchronizedMap<K, V> implements  Map<K, V>,
                    Serializable {
                private static final long serialVersionUID = 1978198479659022715L;

                private final Map<K, V> m; // Backing Map
                final Object mutex; // Object on which to synchronize

                SynchronizedMap(Map<K, V> m) {
                    if (m == null)
                        throw new NullPointerException();
                    this .m = m;
                    mutex = this ;
                }

                SynchronizedMap(Map<K, V> m, Object mutex) {
                    this .m = m;
                    this .mutex = mutex;
                }

                public int size() {
                    synchronized (mutex) {
                        return m.size();
                    }
                }

                public boolean isEmpty() {
                    synchronized (mutex) {
                        return m.isEmpty();
                    }
                }

                public boolean containsKey(Object key) {
                    synchronized (mutex) {
                        return m.containsKey(key);
                    }
                }

                public boolean containsValue(Object value) {
                    synchronized (mutex) {
                        return m.containsValue(value);
                    }
                }

                public V get(Object key) {
                    synchronized (mutex) {
                        return m.get(key);
                    }
                }

                public V put(K key, V value) {
                    synchronized (mutex) {
                        return m.put(key, value);
                    }
                }

                public V remove(Object key) {
                    synchronized (mutex) {
                        return m.remove(key);
                    }
                }

                public void putAll(Map<? extends K, ? extends V> map) {
                    synchronized (mutex) {
                        m.putAll(map);
                    }
                }

                public void clear() {
                    synchronized (mutex) {
                        m.clear();
                    }
                }

                private transient Set<K> keySet = null;
                private transient Set<Map.Entry<K, V>> entrySet = null;
                private transient Collection<V> values = null;

                public Set<K> keySet() {
                    synchronized (mutex) {
                        if (keySet == null)
                            keySet = new SynchronizedSet<K>(m.keySet(), mutex);
                        return keySet;
                    }
                }

                public Set<Map.Entry<K, V>> entrySet() {
                    synchronized (mutex) {
                        if (entrySet == null)
                            entrySet = new SynchronizedSet<Map.Entry<K, V>>(m
                                    .entrySet(), mutex);
                        return entrySet;
                    }
                }

                public Collection<V> values() {
                    synchronized (mutex) {
                        if (values == null)
                            values = new SynchronizedCollection<V>(m.values(),
                                    mutex);
                        return values;
                    }
                }

                public boolean equals(Object o) {
                    synchronized (mutex) {
                        return m.equals(o);
                    }
                }

                public int hashCode() {
                    synchronized (mutex) {
                        return m.hashCode();
                    }
                }

                public String toString() {
                    synchronized (mutex) {
                        return m.toString();
                    }
                }

                private void writeObject(ObjectOutputStream s)
                        throws IOException {
                    synchronized (mutex) {
                        s.defaultWriteObject();
                    }
                }
            }

            /**
             * Returns a synchronized (thread-safe) sorted map backed by the specified
             * sorted map.  In order to guarantee serial access, it is critical that
             * <strong>all</strong> access to the backing sorted map is accomplished
             * through the returned sorted map (or its views).<p>
             *
             * It is imperative that the user manually synchronize on the returned
             * sorted map when iterating over any of its collection views, or the
             * collections views of any of its <tt>subMap</tt>, <tt>headMap</tt> or
             * <tt>tailMap</tt> views.
             * <pre>
             *  SortedMap m = Collections.synchronizedSortedMap(new TreeMap());
             *      ...
             *  Set s = m.keySet();  // Needn't be in synchronized block
             *      ...
             *  synchronized(m) {  // Synchronizing on m, not s!
             *      Iterator i = s.iterator(); // Must be in synchronized block
             *      while (i.hasNext())
             *          foo(i.next());
             *  }
             * </pre>
             * or:
             * <pre>
             *  SortedMap m = Collections.synchronizedSortedMap(new TreeMap());
             *  SortedMap m2 = m.subMap(foo, bar);
             *      ...
             *  Set s2 = m2.keySet();  // Needn't be in synchronized block
             *      ...
             *  synchronized(m) {  // Synchronizing on m, not m2 or s2!
             *      Iterator i = s.iterator(); // Must be in synchronized block
             *      while (i.hasNext())
             *          foo(i.next());
             *  }
             * </pre>
             * Failure to follow this advice may result in non-deterministic behavior.
             *
             * <p>The returned sorted map will be serializable if the specified
             * sorted map is serializable.
             *
             * @param  m the sorted map to be "wrapped" in a synchronized sorted map.
             * @return a synchronized view of the specified sorted map.
             */
            public static <K, V> SortedMap<K, V> synchronizedSortedMap(
                    SortedMap<K, V> m) {
                return new SynchronizedSortedMap<K, V>(m);
            }

            /**
             * @serial include
             */
            static class SynchronizedSortedMap<K, V> extends
                    SynchronizedMap<K, V> implements  SortedMap<K, V> {
                private static final long serialVersionUID = -8798146769416483793L;

                private final SortedMap<K, V> sm;

                SynchronizedSortedMap(SortedMap<K, V> m) {
                    super (m);
                    sm = m;
                }

                SynchronizedSortedMap(SortedMap<K, V> m, Object mutex) {
                    super (m, mutex);
                    sm = m;
                }

                public Comparator<? super  K> comparator() {
                    synchronized (mutex) {
                        return sm.comparator();
                    }
                }

                public SortedMap<K, V> subMap(K fromKey, K toKey) {
                    synchronized (mutex) {
                        return new SynchronizedSortedMap<K, V>(sm.subMap(
                                fromKey, toKey), mutex);
                    }
                }

                public SortedMap<K, V> headMap(K toKey) {
                    synchronized (mutex) {
                        return new SynchronizedSortedMap<K, V>(sm
                                .headMap(toKey), mutex);
                    }
                }

                public SortedMap<K, V> tailMap(K fromKey) {
                    synchronized (mutex) {
                        return new SynchronizedSortedMap<K, V>(sm
                                .tailMap(fromKey), mutex);
                    }
                }

                public K firstKey() {
                    synchronized (mutex) {
                        return sm.firstKey();
                    }
                }

                public K lastKey() {
                    synchronized (mutex) {
                        return sm.lastKey();
                    }
                }
            }

            // Dynamically typesafe collection wrappers

            /**
             * Returns a dynamically typesafe view of the specified collection.  Any
             * attempt to insert an element of the wrong type will result in an
             * immediate <tt>ClassCastException</tt>.  Assuming a collection contains
             * no incorrectly typed elements prior to the time a dynamically typesafe
             * view is generated, and that all subsequent access to the collection
             * takes place through the view, it is <i>guaranteed</i> that the
             * collection cannot contain an incorrectly typed element.
             *
             * <p>The generics mechanism in the language provides compile-time
             * (static) type checking, but it is possible to defeat this mechanism
             * with unchecked casts.  Usually this is not a problem, as the compiler
             * issues warnings on all such unchecked operations.  There are, however,
             * times when static type checking alone is not sufficient.  For example,
             * suppose a collection is passed to a third-party library and it is
             * imperative that the library code not corrupt the collection by
             * inserting an element of the wrong type.
             *
             * <p>Another use of dynamically typesafe views is debugging.  Suppose a
             * program fails with a <tt>ClassCastException</tt>, indicating that an
             * incorrectly typed element was put into a parameterized collection.
             * Unfortunately, the exception can occur at any time after the erroneous
             * element is inserted, so it typically provides little or no information
             * as to the real source of the problem.  If the problem is reproducible,
             * one can quickly determine its source by temporarily modifying the
             * program to wrap the collection with a dynamically typesafe view.
             * For example, this declaration:
             * <pre>
             *     Collection&lt;String&gt; c = new HashSet&lt;String&gt;();
             * </pre>
             * may be replaced temporarily by this one:
             * <pre>
             *     Collection&lt;String&gt; c = Collections.checkedCollection(
             *         new HashSet&lt;String&gt;(), String.class);
             * </pre>
             * Running the program again will cause it to fail at the point where
             * an incorrectly typed element is inserted into the collection, clearly
             * identifying the source of the problem.  Once the problem is fixed, the
             * modified declaration may be reverted back to the original.
             *
             * <p>The returned collection does <i>not</i> pass the hashCode and equals
             * operations through to the backing collection, but relies on
             * <tt>Object</tt>'s <tt>equals</tt> and <tt>hashCode</tt> methods.  This
             * is necessary to preserve the contracts of these operations in the case
             * that the backing collection is a set or a list.
             *
             * <p>The returned collection will be serializable if the specified
             * collection is serializable.
             *
             * @param c the collection for which a dynamically typesafe view is to be
             *             returned
             * @param type the type of element that <tt>c</tt> is permitted to hold
             * @return a dynamically typesafe view of the specified collection
             * @since 1.5
             */
            public static <E> Collection<E> checkedCollection(Collection<E> c,
                    Class<E> type) {
                return new CheckedCollection<E>(c, type);
            }

            /**
             * @serial include
             */
            static class CheckedCollection<E> implements  Collection<E>,
                    Serializable {
                private static final long serialVersionUID = 1578914078182001775L;

                final Collection<E> c;
                final Class<E> type;

                void typeCheck(Object o) {
                    if (!type.isInstance(o))
                        throw new ClassCastException("Attempt to insert "
                                + o.getClass()
                                + " element into collection with element type "
                                + type);
                }

                CheckedCollection(Collection<E> c, Class<E> type) {
                    if (c == null || type == null)
                        throw new NullPointerException();
                    this .c = c;
                    this .type = type;
                }

                public int size() {
                    return c.size();
                }

                public boolean isEmpty() {
                    return c.isEmpty();
                }

                public boolean contains(Object o) {
                    return c.contains(o);
                }

                public Object[] toArray() {
                    return c.toArray();
                }

                public <T> T[] toArray(T[] a) {
                    return c.toArray(a);
                }

                public String toString() {
                    return c.toString();
                }

                public boolean remove(Object o) {
                    return c.remove(o);
                }

                public boolean containsAll(Collection<?> coll) {
                    return c.containsAll(coll);
                }

                public boolean removeAll(Collection<?> coll) {
                    return c.removeAll(coll);
                }

                public boolean retainAll(Collection<?> coll) {
                    return c.retainAll(coll);
                }

                public void clear() {
                    c.clear();
                }

                public Iterator<E> iterator() {
                    return new Iterator<E>() {
                        private final Iterator<E> it = c.iterator();

                        public boolean hasNext() {
                            return it.hasNext();
                        }

                        public E next() {
                            return it.next();
                        }

                        public void remove() {
                            it.remove();
                        }
                    };
                }

                public boolean add(E e) {
                    typeCheck(e);
                    return c.add(e);
                }

                public boolean addAll(Collection<? extends E> coll) {
                    /*
                     * Dump coll into an array of the required type.  This serves
                     * three purposes: it insulates us from concurrent changes in
                     * the contents of coll, it type-checks all of the elements in
                     * coll, and it provides all-or-nothing semantics (which we
                     * wouldn't get if we type-checked each element as we added it).
                     */
                    E[] a = null;
                    try {
                        a = coll.toArray(zeroLengthElementArray());
                    } catch (ArrayStoreException e) {
                        throw new ClassCastException();
                    }

                    return c.addAll(Arrays.asList(a));
                }

                private E[] zeroLengthElementArray = null; // Lazily initialized

                /*
                 * We don't need locking or volatile, because it's OK if we create
                 * several zeroLengthElementArrays, and they're immutable.
                 */
                E[] zeroLengthElementArray() {
                    if (zeroLengthElementArray == null)
                        zeroLengthElementArray = (E[]) Array.newInstance(type,
                                0);
                    return zeroLengthElementArray;
                }
            }

            /**
             * Returns a dynamically typesafe view of the specified set.
             * Any attempt to insert an element of the wrong type will result in
             * an immediate <tt>ClassCastException</tt>.  Assuming a set contains
             * no incorrectly typed elements prior to the time a dynamically typesafe
             * view is generated, and that all subsequent access to the set
             * takes place through the view, it is <i>guaranteed</i> that the
             * set cannot contain an incorrectly typed element.
             *
             * <p>A discussion of the use of dynamically typesafe views may be
             * found in the documentation for the {@link #checkedCollection checkedCollection}
             * method.
             *
             * <p>The returned set will be serializable if the specified set is
             * serializable.
             *
             * @param s the set for which a dynamically typesafe view is to be
             *             returned
             * @param type the type of element that <tt>s</tt> is permitted to hold
             * @return a dynamically typesafe view of the specified set
             * @since 1.5
             */
            public static <E> Set<E> checkedSet(Set<E> s, Class<E> type) {
                return new CheckedSet<E>(s, type);
            }

            /**
             * @serial include
             */
            static class CheckedSet<E> extends CheckedCollection<E> implements 
                    Set<E>, Serializable {
                private static final long serialVersionUID = 4694047833775013803L;

                CheckedSet(Set<E> s, Class<E> elementType) {
                    super (s, elementType);
                }

                public boolean equals(Object o) {
                    return o == this  || c.equals(o);
                }

                public int hashCode() {
                    return c.hashCode();
                }
            }

            /**
             * Returns a dynamically typesafe view of the specified sorted set.  Any
             * attempt to insert an element of the wrong type will result in an
             * immediate <tt>ClassCastException</tt>.  Assuming a sorted set contains
             * no incorrectly typed elements prior to the time a dynamically typesafe
             * view is generated, and that all subsequent access to the sorted set
             * takes place through the view, it is <i>guaranteed</i> that the sorted
             * set cannot contain an incorrectly typed element.
             *
             * <p>A discussion of the use of dynamically typesafe views may be
             * found in the documentation for the {@link #checkedCollection checkedCollection}
             * method.
             *
             * <p>The returned sorted set will be serializable if the specified sorted
             * set is serializable.
             *
             * @param s the sorted set for which a dynamically typesafe view is to be
             *             returned
             * @param type the type of element that <tt>s</tt> is permitted to hold
             * @return a dynamically typesafe view of the specified sorted set
             * @since 1.5
             */
            public static <E> SortedSet<E> checkedSortedSet(SortedSet<E> s,
                    Class<E> type) {
                return new CheckedSortedSet<E>(s, type);
            }

            /**
             * @serial include
             */
            static class CheckedSortedSet<E> extends CheckedSet<E> implements 
                    SortedSet<E>, Serializable {
                private static final long serialVersionUID = 1599911165492914959L;
                private final SortedSet<E> ss;

                CheckedSortedSet(SortedSet<E> s, Class<E> type) {
                    super (s, type);
                    ss = s;
                }

                public Comparator<? super  E> comparator() {
                    return ss.comparator();
                }

                public E first() {
                    return ss.first();
                }

                public E last() {
                    return ss.last();
                }

                public SortedSet<E> subSet(E fromElement, E toElement) {
                    return new CheckedSortedSet<E>(ss.subSet(fromElement,
                            toElement), type);
                }

                public SortedSet<E> headSet(E toElement) {
                    return new CheckedSortedSet<E>(ss.headSet(toElement), type);
                }

                public SortedSet<E> tailSet(E fromElement) {
                    return new CheckedSortedSet<E>(ss.tailSet(fromElement),
                            type);
                }
            }

            /**
             * Returns a dynamically typesafe view of the specified list.
             * Any attempt to insert an element of the wrong type will result in
             * an immediate <tt>ClassCastException</tt>.  Assuming a list contains
             * no incorrectly typed elements prior to the time a dynamically typesafe
             * view is generated, and that all subsequent access to the list
             * takes place through the view, it is <i>guaranteed</i> that the
             * list cannot contain an incorrectly typed element.
             *
             * <p>A discussion of the use of dynamically typesafe views may be
             * found in the documentation for the {@link #checkedCollection checkedCollection}
             * method.
             *
             * <p>The returned list will be serializable if the specified list is
             * serializable.
             *
             * @param list the list for which a dynamically typesafe view is to be
             *             returned
             * @param type the type of element that <tt>list</tt> is permitted to hold
             * @return a dynamically typesafe view of the specified list
             * @since 1.5
             */
            public static <E> List<E> checkedList(List<E> list, Class<E> type) {
                return (list instanceof  RandomAccess ? new CheckedRandomAccessList<E>(
                        list, type)
                        : new CheckedList<E>(list, type));
            }

            /**
             * @serial include
             */
            static class CheckedList<E> extends CheckedCollection<E> implements 
                    List<E> {
                private static final long serialVersionUID = 65247728283967356L;
                final List<E> list;

                CheckedList(List<E> list, Class<E> type) {
                    super (list, type);
                    this .list = list;
                }

                public boolean equals(Object o) {
                    return o == this  || list.equals(o);
                }

                public int hashCode() {
                    return list.hashCode();
                }

                public E get(int index) {
                    return list.get(index);
                }

                public E remove(int index) {
                    return list.remove(index);
                }

                public int indexOf(Object o) {
                    return list.indexOf(o);
                }

                public int lastIndexOf(Object o) {
                    return list.lastIndexOf(o);
                }

                public E set(int index, E element) {
                    typeCheck(element);
                    return list.set(index, element);
                }

                public void add(int index, E element) {
                    typeCheck(element);
                    list.add(index, element);
                }

                public boolean addAll(int index, Collection<? extends E> c) {
                    // See CheckCollection.addAll, above, for an explanation
                    E[] a = null;
                    try {
                        a = c.toArray(zeroLengthElementArray());
                    } catch (ArrayStoreException e) {
                        throw new ClassCastException();
                    }

                    return list.addAll(index, Arrays.asList(a));
                }

                public ListIterator<E> listIterator() {
                    return listIterator(0);
                }

                public ListIterator<E> listIterator(final int index) {
                    return new ListIterator<E>() {
                        private final ListIterator<E> i = list
                                .listIterator(index);

                        public boolean hasNext() {
                            return i.hasNext();
                        }

                        public E next() {
                            return i.next();
                        }

                        public boolean hasPrevious() {
                            return i.hasPrevious();
                        }

                        public E previous() {
                            return i.previous();
                        }

                        public int nextIndex() {
                            return i.nextIndex();
                        }

                        public int previousIndex() {
                            return i.previousIndex();
                        }

                        public void remove() {
                            i.remove();
                        }

                        public void set(E e) {
                            typeCheck(e);
                            i.set(e);
                        }

                        public void add(E e) {
                            typeCheck(e);
                            i.add(e);
                        }
                    };
                }

                public List<E> subList(int fromIndex, int toIndex) {
                    return new CheckedList<E>(list.subList(fromIndex, toIndex),
                            type);
                }
            }

            /**
             * @serial include
             */
            static class CheckedRandomAccessList<E> extends CheckedList<E>
                    implements  RandomAccess {
                private static final long serialVersionUID = 1638200125423088369L;

                CheckedRandomAccessList(List<E> list, Class<E> type) {
                    super (list, type);
                }

                public List<E> subList(int fromIndex, int toIndex) {
                    return new CheckedRandomAccessList<E>(list.subList(
                            fromIndex, toIndex), type);
                }
            }

            /**
             * Returns a dynamically typesafe view of the specified map.  Any attempt
             * to insert a mapping whose key or value have the wrong type will result
             * in an immediate <tt>ClassCastException</tt>.  Similarly, any attempt to
             * modify the value currently associated with a key will result in an
             * immediate <tt>ClassCastException</tt>, whether the modification is
             * attempted directly through the map itself, or through a {@link
             * Map.Entry} instance obtained from the map's {@link Map#entrySet()
             * entry set} view.
             *
             * <p>Assuming a map contains no incorrectly typed keys or values
             * prior to the time a dynamically typesafe view is generated, and
             * that all subsequent access to the map takes place through the view
             * (or one of its collection views), it is <i>guaranteed</i> that the
             * map cannot contain an incorrectly typed key or value.
             *
             * <p>A discussion of the use of dynamically typesafe views may be
             * found in the documentation for the {@link #checkedCollection checkedCollection}
             * method.
             *
             * <p>The returned map will be serializable if the specified map is
             * serializable.
             *
             * @param m the map for which a dynamically typesafe view is to be
             *             returned
             * @param keyType the type of key that <tt>m</tt> is permitted to hold
             * @param valueType the type of value that <tt>m</tt> is permitted to hold
             * @return a dynamically typesafe view of the specified map
             * @since 1.5
             */
            public static <K, V> Map<K, V> checkedMap(Map<K, V> m,
                    Class<K> keyType, Class<V> valueType) {
                return new CheckedMap<K, V>(m, keyType, valueType);
            }

            /**
             * @serial include
             */
            private static class CheckedMap<K, V> implements  Map<K, V>,
                    Serializable {
                private static final long serialVersionUID = 5742860141034234728L;

                private final Map<K, V> m;
                final Class<K> keyType;
                final Class<V> valueType;

                private void typeCheck(Object key, Object value) {
                    if (!keyType.isInstance(key))
                        throw new ClassCastException("Attempt to insert "
                                + key.getClass()
                                + " key into collection with key type "
                                + keyType);

                    if (!valueType.isInstance(value))
                        throw new ClassCastException("Attempt to insert "
                                + value.getClass()
                                + " value into collection with value type "
                                + valueType);
                }

                CheckedMap(Map<K, V> m, Class<K> keyType, Class<V> valueType) {
                    if (m == null || keyType == null || valueType == null)
                        throw new NullPointerException();
                    this .m = m;
                    this .keyType = keyType;
                    this .valueType = valueType;
                }

                public int size() {
                    return m.size();
                }

                public boolean isEmpty() {
                    return m.isEmpty();
                }

                public boolean containsKey(Object key) {
                    return m.containsKey(key);
                }

                public boolean containsValue(Object v) {
                    return m.containsValue(v);
                }

                public V get(Object key) {
                    return m.get(key);
                }

                public V remove(Object key) {
                    return m.remove(key);
                }

                public void clear() {
                    m.clear();
                }

                public Set<K> keySet() {
                    return m.keySet();
                }

                public Collection<V> values() {
                    return m.values();
                }

                public boolean equals(Object o) {
                    return o == this  || m.equals(o);
                }

                public int hashCode() {
                    return m.hashCode();
                }

                public String toString() {
                    return m.toString();
                }

                public V put(K key, V value) {
                    typeCheck(key, value);
                    return m.put(key, value);
                }

                public void putAll(Map<? extends K, ? extends V> t) {
                    // See CheckCollection.addAll, above, for an explanation
                    K[] keys = null;
                    try {
                        keys = t.keySet().toArray(zeroLengthKeyArray());
                    } catch (ArrayStoreException e) {
                        throw new ClassCastException();
                    }
                    V[] values = null;
                    try {
                        values = t.values().toArray(zeroLengthValueArray());
                    } catch (ArrayStoreException e) {
                        throw new ClassCastException();
                    }

                    if (keys.length != values.length)
                        throw new ConcurrentModificationException();

                    for (int i = 0; i < keys.length; i++)
                        m.put(keys[i], values[i]);
                }

                // Lazily initialized
                private K[] zeroLengthKeyArray = null;
                private V[] zeroLengthValueArray = null;

                /*
                 * We don't need locking or volatile, because it's OK if we create
                 * several zeroLengthValueArrays, and they're immutable.
                 */
                private K[] zeroLengthKeyArray() {
                    if (zeroLengthKeyArray == null)
                        zeroLengthKeyArray = (K[]) Array
                                .newInstance(keyType, 0);
                    return zeroLengthKeyArray;
                }

                private V[] zeroLengthValueArray() {
                    if (zeroLengthValueArray == null)
                        zeroLengthValueArray = (V[]) Array.newInstance(
                                valueType, 0);
                    return zeroLengthValueArray;
                }

                private transient Set<Map.Entry<K, V>> entrySet = null;

                public Set<Map.Entry<K, V>> entrySet() {
                    if (entrySet == null)
                        entrySet = new CheckedEntrySet<K, V>(m.entrySet(),
                                valueType);
                    return entrySet;
                }

                /**
                 * We need this class in addition to CheckedSet as Map.Entry permits
                 * modification of the backing Map via the setValue operation.  This
                 * class is subtle: there are many possible attacks that must be
                 * thwarted.
                 *
                 * @serial exclude
                 */
                static class CheckedEntrySet<K, V> implements 
                        Set<Map.Entry<K, V>> {
                    Set<Map.Entry<K, V>> s;
                    Class<V> valueType;

                    CheckedEntrySet(Set<Map.Entry<K, V>> s, Class<V> valueType) {
                        this .s = s;
                        this .valueType = valueType;
                    }

                    public int size() {
                        return s.size();
                    }

                    public boolean isEmpty() {
                        return s.isEmpty();
                    }

                    public String toString() {
                        return s.toString();
                    }

                    public int hashCode() {
                        return s.hashCode();
                    }

                    public boolean remove(Object o) {
                        return s.remove(o);
                    }

                    public boolean removeAll(Collection<?> coll) {
                        return s.removeAll(coll);
                    }

                    public boolean retainAll(Collection<?> coll) {
                        return s.retainAll(coll);
                    }

                    public void clear() {
                        s.clear();
                    }

                    public boolean add(Map.Entry<K, V> e) {
                        throw new UnsupportedOperationException();
                    }

                    public boolean addAll(
                            Collection<? extends Map.Entry<K, V>> coll) {
                        throw new UnsupportedOperationException();
                    }

                    public Iterator<Map.Entry<K, V>> iterator() {
                        return new Iterator<Map.Entry<K, V>>() {
                            private final Iterator<Map.Entry<K, V>> i = s
                                    .iterator();

                            public boolean hasNext() {
                                return i.hasNext();
                            }

                            public void remove() {
                                i.remove();
                            }

                            public Map.Entry<K, V> next() {
                                return new CheckedEntry<K, V>(i.next(),
                                        valueType);
                            }
                        };
                    }

                    public Object[] toArray() {
                        Object[] source = s.toArray();

                        /*
                         * Ensure that we don't get an ArrayStoreException even if
                         * s.toArray returns an array of something other than Object
                         */
                        Object[] dest = (CheckedEntry.class.isInstance(source
                                .getClass().getComponentType()) ? source
                                : new Object[source.length]);

                        for (int i = 0; i < source.length; i++)
                            dest[i] = new CheckedEntry<K, V>(
                                    (Map.Entry<K, V>) source[i], valueType);
                        return dest;
                    }

                    public <T> T[] toArray(T[] a) {
                        // We don't pass a to s.toArray, to avoid window of
                        // vulnerability wherein an unscrupulous multithreaded client
                        // could get his hands on raw (unwrapped) Entries from s.
                        Object[] arr = s.toArray(a.length == 0 ? a : Arrays
                                .copyOf(a, 0));

                        for (int i = 0; i < arr.length; i++)
                            arr[i] = new CheckedEntry<K, V>(
                                    (Map.Entry<K, V>) arr[i], valueType);
                        if (arr.length > a.length)
                            return (T[]) arr;

                        System.arraycopy(arr, 0, a, 0, arr.length);
                        if (a.length > arr.length)
                            a[arr.length] = null;
                        return a;
                    }

                    /**
                     * This method is overridden to protect the backing set against
                     * an object with a nefarious equals function that senses
                     * that the equality-candidate is Map.Entry and calls its
                     * setValue method.
                     */
                    public boolean contains(Object o) {
                        if (!(o instanceof  Map.Entry))
                            return false;
                        return s.contains(new CheckedEntry<K, V>(
                                (Map.Entry<K, V>) o, valueType));
                    }

                    /**
                     * The next two methods are overridden to protect against
                     * an unscrupulous collection whose contains(Object o) method
                     * senses when o is a Map.Entry, and calls o.setValue.
                     */
                    public boolean containsAll(Collection<?> coll) {
                        Iterator<?> e = coll.iterator();
                        while (e.hasNext())
                            if (!contains(e.next())) // Invokes safe contains() above
                                return false;
                        return true;
                    }

                    public boolean equals(Object o) {
                        if (o == this )
                            return true;
                        if (!(o instanceof  Set))
                            return false;
                        Set<?> that = (Set<?>) o;
                        if (that.size() != s.size())
                            return false;
                        return containsAll(that); // Invokes safe containsAll() above
                    }

                    /**
                     * This "wrapper class" serves two purposes: it prevents
                     * the client from modifying the backing Map, by short-circuiting
                     * the setValue method, and it protects the backing Map against
                     * an ill-behaved Map.Entry that attempts to modify another
                     * Map Entry when asked to perform an equality check.
                     */
                    private static class CheckedEntry<K, V> implements 
                            Map.Entry<K, V> {
                        private Map.Entry<K, V> e;
                        private Class<V> valueType;

                        CheckedEntry(Map.Entry<K, V> e, Class<V> valueType) {
                            this .e = e;
                            this .valueType = valueType;
                        }

                        public K getKey() {
                            return e.getKey();
                        }

                        public V getValue() {
                            return e.getValue();
                        }

                        public int hashCode() {
                            return e.hashCode();
                        }

                        public String toString() {
                            return e.toString();
                        }

                        public V setValue(V value) {
                            if (!valueType.isInstance(value))
                                throw new ClassCastException(
                                        "Attempt to insert "
                                                + value.getClass()
                                                + " value into collection with value type "
                                                + valueType);
                            return e.setValue(value);
                        }

                        public boolean equals(Object o) {
                            if (!(o instanceof  Map.Entry))
                                return false;
                            Map.Entry t = (Map.Entry) o;
                            return eq(e.getKey(), t.getKey())
                                    && eq(e.getValue(), t.getValue());
                        }
                    }
                }
            }

            /**
             * Returns a dynamically typesafe view of the specified sorted map.  Any
             * attempt to insert a mapping whose key or value have the wrong type will
             * result in an immediate <tt>ClassCastException</tt>.  Similarly, any
             * attempt to modify the value currently associated with a key will result
             * in an immediate <tt>ClassCastException</tt>, whether the modification
             * is attempted directly through the map itself, or through a {@link
             * Map.Entry} instance obtained from the map's {@link Map#entrySet() entry
             * set} view.
             *
             * <p>Assuming a map contains no incorrectly typed keys or values
             * prior to the time a dynamically typesafe view is generated, and
             * that all subsequent access to the map takes place through the view
             * (or one of its collection views), it is <i>guaranteed</i> that the
             * map cannot contain an incorrectly typed key or value.
             *
             * <p>A discussion of the use of dynamically typesafe views may be
             * found in the documentation for the {@link #checkedCollection checkedCollection}
             * method.
             *
             * <p>The returned map will be serializable if the specified map is
             * serializable.
             *
             * @param m the map for which a dynamically typesafe view is to be
             *             returned
             * @param keyType the type of key that <tt>m</tt> is permitted to hold
             * @param valueType the type of value that <tt>m</tt> is permitted to hold
             * @return a dynamically typesafe view of the specified map
             * @since 1.5
             */
            public static <K, V> SortedMap<K, V> checkedSortedMap(
                    SortedMap<K, V> m, Class<K> keyType, Class<V> valueType) {
                return new CheckedSortedMap<K, V>(m, keyType, valueType);
            }

            /**
             * @serial include
             */
            static class CheckedSortedMap<K, V> extends CheckedMap<K, V>
                    implements  SortedMap<K, V>, Serializable {
                private static final long serialVersionUID = 1599671320688067438L;

                private final SortedMap<K, V> sm;

                CheckedSortedMap(SortedMap<K, V> m, Class<K> keyType,
                        Class<V> valueType) {
                    super (m, keyType, valueType);
                    sm = m;
                }

                public Comparator<? super  K> comparator() {
                    return sm.comparator();
                }

                public K firstKey() {
                    return sm.firstKey();
                }

                public K lastKey() {
                    return sm.lastKey();
                }

                public SortedMap<K, V> subMap(K fromKey, K toKey) {
                    return new CheckedSortedMap<K, V>(
                            sm.subMap(fromKey, toKey), keyType, valueType);
                }

                public SortedMap<K, V> headMap(K toKey) {
                    return new CheckedSortedMap<K, V>(sm.headMap(toKey),
                            keyType, valueType);
                }

                public SortedMap<K, V> tailMap(K fromKey) {
                    return new CheckedSortedMap<K, V>(sm.tailMap(fromKey),
                            keyType, valueType);
                }
            }

            // Empty collections

            /**
             * Returns an iterator that has no elements.  More precisely,
             *
             * <ul compact>
             *
             * <li>{@link Iterator#hasNext hasNext} always returns {@code
             * false}.
             *
             * <li>{@link Iterator#next next} always throws {@link
             * NoSuchElementException}.
             *
             * <li>{@link Iterator#remove remove} always throws {@link
             * IllegalStateException}.
             *
             * </ul>
             *
             * <p>Implementations of this method are permitted, but not
             * required, to return the same object from multiple invocations.
             *
             * @return an empty iterator
             * @since 1.7
             */
            @SuppressWarnings("unchecked")
            public static <T> Iterator<T> emptyIterator() {
                return (Iterator<T>) EmptyIterator.EMPTY_ITERATOR;
            }

            private static class EmptyIterator<E> implements  Iterator<E> {
                static final EmptyIterator<Object> EMPTY_ITERATOR = new EmptyIterator<Object>();

                public boolean hasNext() {
                    return false;
                }

                public E next() {
                    throw new NoSuchElementException();
                }

                public void remove() {
                    throw new IllegalStateException();
                }
            }

            /**
             * Returns a list iterator that has no elements.  More precisely,
             *
             * <ul compact>
             *
             * <li>{@link Iterator#hasNext hasNext} and {@link
             * ListIterator#hasPrevious hasPrevious} always return {@code
             * false}.
             *
             * <li>{@link Iterator#next next} and {@link ListIterator#previous
             * previous} always throw {@link NoSuchElementException}.
             *
             * <li>{@link Iterator#remove remove} and {@link ListIterator#set
             * set} always throw {@link IllegalStateException}.
             *
             * <li>{@link ListIterator#add add} always throws {@link
             * UnsupportedOperationException}.
             *
             * <li>{@link ListIterator#nextIndex nextIndex} always returns
             * {@code 0} .
             *
             * <li>{@link ListIterator#previousIndex previousIndex} always
             * returns {@code -1}.
             *
             * </ul>
             *
             * <p>Implementations of this method are permitted, but not
             * required, to return the same object from multiple invocations.
             *
             * @return an empty list iterator
             * @since 1.7
             */
            @SuppressWarnings("unchecked")
            public static <T> ListIterator<T> emptyListIterator() {
                return (ListIterator<T>) EmptyListIterator.EMPTY_ITERATOR;
            }

            private static class EmptyListIterator<E> extends EmptyIterator<E>
                    implements  ListIterator<E> {
                static final EmptyListIterator<Object> EMPTY_ITERATOR = new EmptyListIterator<Object>();

                public boolean hasPrevious() {
                    return false;
                }

                public E previous() {
                    throw new NoSuchElementException();
                }

                public int nextIndex() {
                    return 0;
                }

                public int previousIndex() {
                    return -1;
                }

                public void set(E e) {
                    throw new IllegalStateException();
                }

                public void add(E e) {
                    throw new UnsupportedOperationException();
                }
            }

            /**
             * Returns an enumeration that has no elements.  More precisely,
             *
             * <ul compact>
             *
             * <li>{@link Enumeration#hasMoreElements hasMoreElements} always
             * returns {@code false}.
             *
             * <li> {@link Enumeration#nextElement nextElement} always throws
             * {@link NoSuchElementException}.
             *
             * </ul>
             *
             * <p>Implementations of this method are permitted, but not
             * required, to return the same object from multiple invocations.
             *
             * @return an empty enumeration
             * @since 1.7
             */
            @SuppressWarnings("unchecked")
            public static <T> Enumeration<T> emptyEnumeration() {
                return (Enumeration<T>) EmptyEnumeration.EMPTY_ENUMERATION;
            }

            private static class EmptyEnumeration<E> implements  Enumeration<E> {
                static final EmptyEnumeration<Object> EMPTY_ENUMERATION = new EmptyEnumeration<Object>();

                public boolean hasMoreElements() {
                    return false;
                }

                public E nextElement() {
                    throw new NoSuchElementException();
                }
            }

            /**
             * The empty set (immutable).  This set is serializable.
             *
             * @see #emptySet()
             */
            @SuppressWarnings("unchecked")
            public static final Set EMPTY_SET = new EmptySet<Object>();

            /**
             * Returns the empty set (immutable).  This set is serializable.
             * Unlike the like-named field, this method is parameterized.
             *
             * <p>This example illustrates the type-safe way to obtain an empty set:
             * <pre>
             *     Set&lt;String&gt; s = Collections.emptySet();
             * </pre>
             * Implementation note:  Implementations of this method need not
             * create a separate <tt>Set</tt> object for each call.   Using this
             * method is likely to have comparable cost to using the like-named
             * field.  (Unlike this method, the field does not provide type safety.)
             *
             * @see #EMPTY_SET
             * @since 1.5
             */
            @SuppressWarnings("unchecked")
            public static final <T> Set<T> emptySet() {
                return (Set<T>) EMPTY_SET;
            }

            /**
             * @serial include
             */
            private static class EmptySet<E> extends AbstractSet<E> implements 
                    Serializable {
                private static final long serialVersionUID = 1582296315990362920L;

                public Iterator<E> iterator() {
                    return emptyIterator();
                }

                public int size() {
                    return 0;
                }

                public boolean isEmpty() {
                    return true;
                }

                public boolean contains(Object obj) {
                    return false;
                }

                public boolean containsAll(Collection<?> c) {
                    return c.isEmpty();
                }

                public Object[] toArray() {
                    return new Object[0];
                }

                public <T> T[] toArray(T[] a) {
                    if (a.length > 0)
                        a[0] = null;
                    return a;
                }

                // Preserves singleton property
                private Object readResolve() {
                    return EMPTY_SET;
                }
            }

            /**
             * The empty list (immutable).  This list is serializable.
             *
             * @see #emptyList()
             */
            @SuppressWarnings("unchecked")
            public static final List EMPTY_LIST = new EmptyList<Object>();

            /**
             * Returns the empty list (immutable).  This list is serializable.
             *
             * <p>This example illustrates the type-safe way to obtain an empty list:
             * <pre>
             *     List&lt;String&gt; s = Collections.emptyList();
             * </pre>
             * Implementation note:  Implementations of this method need not
             * create a separate <tt>List</tt> object for each call.   Using this
             * method is likely to have comparable cost to using the like-named
             * field.  (Unlike this method, the field does not provide type safety.)
             *
             * @see #EMPTY_LIST
             * @since 1.5
             */
            @SuppressWarnings("unchecked")
            public static final <T> List<T> emptyList() {
                return (List<T>) EMPTY_LIST;
            }

            /**
             * @serial include
             */
            private static class EmptyList<E> extends AbstractList<E> implements 
                    RandomAccess, Serializable {
                private static final long serialVersionUID = 8842843931221139166L;

                public Iterator<E> iterator() {
                    return emptyIterator();
                }

                public ListIterator<E> listIterator() {
                    return emptyListIterator();
                }

                public int size() {
                    return 0;
                }

                public boolean isEmpty() {
                    return true;
                }

                public boolean contains(Object obj) {
                    return false;
                }

                public boolean containsAll(Collection<?> c) {
                    return c.isEmpty();
                }

                public Object[] toArray() {
                    return new Object[0];
                }

                public <T> T[] toArray(T[] a) {
                    if (a.length > 0)
                        a[0] = null;
                    return a;
                }

                public E get(int index) {
                    throw new IndexOutOfBoundsException("Index: " + index);
                }

                public boolean equals(Object o) {
                    return (o instanceof  List) && ((List<?>) o).isEmpty();
                }

                public int hashCode() {
                    return 1;
                }

                // Preserves singleton property
                private Object readResolve() {
                    return EMPTY_LIST;
                }
            }

            /**
             * The empty map (immutable).  This map is serializable.
             *
             * @see #emptyMap()
             * @since 1.3
             */
            @SuppressWarnings("unchecked")
            public static final Map EMPTY_MAP = new EmptyMap<Object, Object>();

            /**
             * Returns the empty map (immutable).  This map is serializable.
             *
             * <p>This example illustrates the type-safe way to obtain an empty set:
             * <pre>
             *     Map&lt;String, Date&gt; s = Collections.emptyMap();
             * </pre>
             * Implementation note:  Implementations of this method need not
             * create a separate <tt>Map</tt> object for each call.   Using this
             * method is likely to have comparable cost to using the like-named
             * field.  (Unlike this method, the field does not provide type safety.)
             *
             * @see #EMPTY_MAP
             * @since 1.5
             */
            @SuppressWarnings("unchecked")
            public static final <K, V> Map<K, V> emptyMap() {
                return (Map<K, V>) EMPTY_MAP;
            }

            /**
             * @serial include
             */
            private static class EmptyMap<K, V> extends AbstractMap<K, V>
                    implements  Serializable {
                private static final long serialVersionUID = 6428348081105594320L;

                public int size() {
                    return 0;
                }

                public boolean isEmpty() {
                    return true;
                }

                public boolean containsKey(Object key) {
                    return false;
                }

                public boolean containsValue(Object value) {
                    return false;
                }

                public V get(Object key) {
                    return null;
                }

                public Set<K> keySet() {
                    return emptySet();
                }

                public Collection<V> values() {
                    return emptySet();
                }

                public Set<Map.Entry<K, V>> entrySet() {
                    return emptySet();
                }

                public boolean equals(Object o) {
                    return (o instanceof  Map) && ((Map<?, ?>) o).isEmpty();
                }

                public int hashCode() {
                    return 0;
                }

                // Preserves singleton property
                private Object readResolve() {
                    return EMPTY_MAP;
                }
            }

            // Singleton collections

            /**
             * Returns an immutable set containing only the specified object.
             * The returned set is serializable.
             *
             * @param o the sole object to be stored in the returned set.
             * @return an immutable set containing only the specified object.
             */
            public static <T> Set<T> singleton(T o) {
                return new SingletonSet<T>(o);
            }

            static <E> Iterator<E> singletonIterator(final E e) {
                return new Iterator<E>() {
                    private boolean hasNext = true;

                    public boolean hasNext() {
                        return hasNext;
                    }

                    public E next() {
                        if (hasNext) {
                            hasNext = false;
                            return e;
                        }
                        throw new NoSuchElementException();
                    }

                    public void remove() {
                        throw new UnsupportedOperationException();
                    }
                };
            }

            /**
             * @serial include
             */
            private static class SingletonSet<E> extends AbstractSet<E>
                    implements  Serializable {
                private static final long serialVersionUID = 3193687207550431679L;

                final private E element;

                SingletonSet(E e) {
                    element = e;
                }

                public Iterator<E> iterator() {
                    return singletonIterator(element);
                }

                public int size() {
                    return 1;
                }

                public boolean contains(Object o) {
                    return eq(o, element);
                }
            }

            /**
             * Returns an immutable list containing only the specified object.
             * The returned list is serializable.
             *
             * @param o the sole object to be stored in the returned list.
             * @return an immutable list containing only the specified object.
             * @since 1.3
             */
            public static <T> List<T> singletonList(T o) {
                return new SingletonList<T>(o);
            }

            /**
             * @serial include
             */
            private static class SingletonList<E> extends AbstractList<E>
                    implements  RandomAccess, Serializable {

                private static final long serialVersionUID = 3093736618740652951L;

                private final E element;

                SingletonList(E obj) {
                    element = obj;
                }

                public Iterator<E> iterator() {
                    return singletonIterator(element);
                }

                public int size() {
                    return 1;
                }

                public boolean contains(Object obj) {
                    return eq(obj, element);
                }

                public E get(int index) {
                    if (index != 0)
                        throw new IndexOutOfBoundsException("Index: " + index
                                + ", Size: 1");
                    return element;
                }
            }

            /**
             * Returns an immutable map, mapping only the specified key to the
             * specified value.  The returned map is serializable.
             *
             * @param key the sole key to be stored in the returned map.
             * @param value the value to which the returned map maps <tt>key</tt>.
             * @return an immutable map containing only the specified key-value
             *         mapping.
             * @since 1.3
             */
            public static <K, V> Map<K, V> singletonMap(K key, V value) {
                return new SingletonMap<K, V>(key, value);
            }

            /**
             * @serial include
             */
            private static class SingletonMap<K, V> extends AbstractMap<K, V>
                    implements  Serializable {
                private static final long serialVersionUID = -6979724477215052911L;

                private final K k;
                private final V v;

                SingletonMap(K key, V value) {
                    k = key;
                    v = value;
                }

                public int size() {
                    return 1;
                }

                public boolean isEmpty() {
                    return false;
                }

                public boolean containsKey(Object key) {
                    return eq(key, k);
                }

                public boolean containsValue(Object value) {
                    return eq(value, v);
                }

                public V get(Object key) {
                    return (eq(key, k) ? v : null);
                }

                private transient Set<K> keySet = null;
                private transient Set<Map.Entry<K, V>> entrySet = null;
                private transient Collection<V> values = null;

                public Set<K> keySet() {
                    if (keySet == null)
                        keySet = singleton(k);
                    return keySet;
                }

                public Set<Map.Entry<K, V>> entrySet() {
                    if (entrySet == null)
                        entrySet = Collections
                                .<Map.Entry<K, V>> singleton(new SimpleImmutableEntry<K, V>(
                                        k, v));
                    return entrySet;
                }

                public Collection<V> values() {
                    if (values == null)
                        values = singleton(v);
                    return values;
                }

            }

            // Miscellaneous

            /**
             * Returns an immutable list consisting of <tt>n</tt> copies of the
             * specified object.  The newly allocated data object is tiny (it contains
             * a single reference to the data object).  This method is useful in
             * combination with the <tt>List.addAll</tt> method to grow lists.
             * The returned list is serializable.
             *
             * @param  n the number of elements in the returned list.
             * @param  o the element to appear repeatedly in the returned list.
             * @return an immutable list consisting of <tt>n</tt> copies of the
             * 	       specified object.
             * @throws IllegalArgumentException if n &lt; 0.
             * @see    List#addAll(Collection)
             * @see    List#addAll(int, Collection)
             */
            public static <T> List<T> nCopies(int n, T o) {
                if (n < 0)
                    throw new IllegalArgumentException("List length = " + n);
                return new CopiesList<T>(n, o);
            }

            /**
             * @serial include
             */
            private static class CopiesList<E> extends AbstractList<E>
                    implements  RandomAccess, Serializable {
                private static final long serialVersionUID = 2739099268398711800L;

                final int n;
                final E element;

                CopiesList(int n, E e) {
                    assert n >= 0;
                    this .n = n;
                    element = e;
                }

                public int size() {
                    return n;
                }

                public boolean contains(Object obj) {
                    return n != 0 && eq(obj, element);
                }

                public int indexOf(Object o) {
                    return contains(o) ? 0 : -1;
                }

                public int lastIndexOf(Object o) {
                    return contains(o) ? n - 1 : -1;
                }

                public E get(int index) {
                    if (index < 0 || index >= n)
                        throw new IndexOutOfBoundsException("Index: " + index
                                + ", Size: " + n);
                    return element;
                }

                public Object[] toArray() {
                    final Object[] a = new Object[n];
                    if (element != null)
                        Arrays.fill(a, 0, n, element);
                    return a;
                }

                public <T> T[] toArray(T[] a) {
                    final int n = this .n;
                    if (a.length < n) {
                        a = (T[]) java.lang.reflect.Array.newInstance(a
                                .getClass().getComponentType(), n);
                        if (element != null)
                            Arrays.fill(a, 0, n, element);
                    } else {
                        Arrays.fill(a, 0, n, element);
                        if (a.length > n)
                            a[n] = null;
                    }
                    return a;
                }

                public List<E> subList(int fromIndex, int toIndex) {
                    if (fromIndex < 0)
                        throw new IndexOutOfBoundsException("fromIndex = "
                                + fromIndex);
                    if (toIndex > n)
                        throw new IndexOutOfBoundsException("toIndex = "
                                + toIndex);
                    if (fromIndex > toIndex)
                        throw new IllegalArgumentException("fromIndex("
                                + fromIndex + ") > toIndex(" + toIndex + ")");
                    return new CopiesList<E>(toIndex - fromIndex, element);
                }
            }

            /**
             * Returns a comparator that imposes the reverse of the <i>natural
             * ordering</i> on a collection of objects that implement the
             * <tt>Comparable</tt> interface.  (The natural ordering is the ordering
             * imposed by the objects' own <tt>compareTo</tt> method.)  This enables a
             * simple idiom for sorting (or maintaining) collections (or arrays) of
             * objects that implement the <tt>Comparable</tt> interface in
             * reverse-natural-order.  For example, suppose a is an array of
             * strings. Then: <pre>
             * 		Arrays.sort(a, Collections.reverseOrder());
             * </pre> sorts the array in reverse-lexicographic (alphabetical) order.<p>
             *
             * The returned comparator is serializable.
             *
             * @return a comparator that imposes the reverse of the <i>natural
             * 	       ordering</i> on a collection of objects that implement
             *	       the <tt>Comparable</tt> interface.
             * @see Comparable
             */
            public static <T> Comparator<T> reverseOrder() {
                return (Comparator<T>) ReverseComparator.REVERSE_ORDER;
            }

            /**
             * @serial include
             */
            private static class ReverseComparator implements 
                    Comparator<Comparable<Object>>, Serializable {

                private static final long serialVersionUID = 7207038068494060240L;

                private static final ReverseComparator REVERSE_ORDER = new ReverseComparator();

                public int compare(Comparable<Object> c1, Comparable<Object> c2) {
                    return c2.compareTo(c1);
                }

                private Object readResolve() {
                    return reverseOrder();
                }
            }

            /**
             * Returns a comparator that imposes the reverse ordering of the specified
             * comparator.  If the specified comparator is null, this method is
             * equivalent to {@link #reverseOrder()} (in other words, it returns a
             * comparator that imposes the reverse of the <i>natural ordering</i> on a
             * collection of objects that implement the Comparable interface).
             *
             * <p>The returned comparator is serializable (assuming the specified
             * comparator is also serializable or null).
             *
             * @return a comparator that imposes the reverse ordering of the
             *         specified comparator
             * @since 1.5
             */
            public static <T> Comparator<T> reverseOrder(Comparator<T> cmp) {
                if (cmp == null)
                    return reverseOrder();

                if (cmp instanceof  ReverseComparator2)
                    return ((ReverseComparator2<T>) cmp).cmp;

                return new ReverseComparator2<T>(cmp);
            }

            /**
             * @serial include
             */
            private static class ReverseComparator2<T> implements 
                    Comparator<T>, Serializable {
                private static final long serialVersionUID = 4374092139857L;

                /**
                 * The comparator specified in the static factory.  This will never
                 * be null, as the static factory returns a ReverseComparator
                 * instance if its argument is null.
                 *
                 * @serial
                 */
                private final Comparator<T> cmp;

                ReverseComparator2(Comparator<T> cmp) {
                    assert cmp != null;
                    this .cmp = cmp;
                }

                public int compare(T t1, T t2) {
                    return cmp.compare(t2, t1);
                }

                public boolean equals(Object o) {
                    return (o == this )
                            || (o instanceof  ReverseComparator2 && cmp
                                    .equals(((ReverseComparator2) o).cmp));
                }

                public int hashCode() {
                    return cmp.hashCode() ^ Integer.MIN_VALUE;
                }
            }

            /**
             * Returns an enumeration over the specified collection.  This provides
             * interoperability with legacy APIs that require an enumeration
             * as input.
             *
             * @param c the collection for which an enumeration is to be returned.
             * @return an enumeration over the specified collection.
             * @see Enumeration
             */
            public static <T> Enumeration<T> enumeration(final Collection<T> c) {
                return new Enumeration<T>() {
                    private final Iterator<T> i = c.iterator();

                    public boolean hasMoreElements() {
                        return i.hasNext();
                    }

                    public T nextElement() {
                        return i.next();
                    }
                };
            }

            /**
             * Returns an array list containing the elements returned by the
             * specified enumeration in the order they are returned by the
             * enumeration.  This method provides interoperability between
             * legacy APIs that return enumerations and new APIs that require
             * collections.
             *
             * @param e enumeration providing elements for the returned
             *          array list
             * @return an array list containing the elements returned
             *         by the specified enumeration.
             * @since 1.4
             * @see Enumeration
             * @see ArrayList
             */
            public static <T> ArrayList<T> list(Enumeration<T> e) {
                ArrayList<T> l = new ArrayList<T>();
                while (e.hasMoreElements())
                    l.add(e.nextElement());
                return l;
            }

            /**
             * Returns true if the specified arguments are equal, or both null.
             */
            private static boolean eq(Object o1, Object o2) {
                return (o1 == null ? o2 == null : o1.equals(o2));
            }

            /**
             * Returns the number of elements in the specified collection equal to the
             * specified object.  More formally, returns the number of elements
             * <tt>e</tt> in the collection such that
             * <tt>(o == null ? e == null : o.equals(e))</tt>.
             *
             * @param c the collection in which to determine the frequency
             *     of <tt>o</tt>
             * @param o the object whose frequency is to be determined
             * @throws NullPointerException if <tt>c</tt> is null
             * @since 1.5
             */
            public static int frequency(Collection<?> c, Object o) {
                int result = 0;
                if (o == null) {
                    for (Object e : c)
                        if (e == null)
                            result++;
                } else {
                    for (Object e : c)
                        if (o.equals(e))
                            result++;
                }
                return result;
            }

            /**
             * Returns <tt>true</tt> if the two specified collections have no
             * elements in common.
             *
             * <p>Care must be exercised if this method is used on collections that
             * do not comply with the general contract for <tt>Collection</tt>.
             * Implementations may elect to iterate over either collection and test
             * for containment in the other collection (or to perform any equivalent
             * computation).  If either collection uses a nonstandard equality test
             * (as does a {@link SortedSet} whose ordering is not <i>compatible with
             * equals</i>, or the key set of an {@link IdentityHashMap}), both
             * collections must use the same nonstandard equality test, or the
             * result of this method is undefined.
             *
             * <p>Note that it is permissible to pass the same collection in both
             * parameters, in which case the method will return true if and only if
             * the collection is empty.
             *
             * @param c1 a collection
             * @param c2 a collection
             * @throws NullPointerException if either collection is null
             * @since 1.5
             */
            public static boolean disjoint(Collection<?> c1, Collection<?> c2) {
                /*
                 * We're going to iterate through c1 and test for inclusion in c2.
                 * If c1 is a Set and c2 isn't, swap the collections.  Otherwise,
                 * place the shorter collection in c1.  Hopefully this heuristic
                 * will minimize the cost of the operation.
                 */
                if ((c1 instanceof  Set) && !(c2 instanceof  Set)
                        || (c1.size() > c2.size())) {
                    Collection<?> tmp = c1;
                    c1 = c2;
                    c2 = tmp;
                }

                for (Object e : c1)
                    if (c2.contains(e))
                        return false;
                return true;
            }

            /**
             * Adds all of the specified elements to the specified collection.
             * Elements to be added may be specified individually or as an array.
             * The behavior of this convenience method is identical to that of
             * <tt>c.addAll(Arrays.asList(elements))</tt>, but this method is likely
             * to run significantly faster under most implementations.
             *
             * <p>When elements are specified individually, this method provides a
             * convenient way to add a few elements to an existing collection:
             * <pre>
             *     Collections.addAll(flavors, "Peaches 'n Plutonium", "Rocky Racoon");
             * </pre>
             *
             * @param c the collection into which <tt>elements</tt> are to be inserted
             * @param elements the elements to insert into <tt>c</tt>
             * @return <tt>true</tt> if the collection changed as a result of the call
             * @throws UnsupportedOperationException if <tt>c</tt> does not support
             *         the <tt>add</tt> operation
             * @throws NullPointerException if <tt>elements</tt> contains one or more
             *         null values and <tt>c</tt> does not permit null elements, or
             *         if <tt>c</tt> or <tt>elements</tt> are <tt>null</tt>
             * @throws IllegalArgumentException if some property of a value in
             *         <tt>elements</tt> prevents it from being added to <tt>c</tt>
             * @see Collection#addAll(Collection)
             * @since 1.5
             */
            public static <T> boolean addAll(Collection<? super  T> c,
                    T... elements) {
                boolean result = false;
                for (T element : elements)
                    result |= c.add(element);
                return result;
            }

            /**
             * Returns a set backed by the specified map.  The resulting set displays
             * the same ordering, concurrency, and performance characteristics as the
             * backing map.  In essence, this factory method provides a {@link Set}
             * implementation corresponding to any {@link Map} implementation.  There
             * is no need to use this method on a {@link Map} implementation that
             * already has a corresponding {@link Set} implementation (such as {@link
             * HashMap} or {@link TreeMap}).
             *
             * <p>Each method invocation on the set returned by this method results in
             * exactly one method invocation on the backing map or its <tt>keySet</tt>
             * view, with one exception.  The <tt>addAll</tt> method is implemented
             * as a sequence of <tt>put</tt> invocations on the backing map.
             *
             * <p>The specified map must be empty at the time this method is invoked,
             * and should not be accessed directly after this method returns.  These
             * conditions are ensured if the map is created empty, passed directly
             * to this method, and no reference to the map is retained, as illustrated
             * in the following code fragment:
             * <pre>
             *    Set&lt;Object&gt; weakHashSet = Collections.newSetFromMap(
             *        new WeakHashMap&lt;Object, Boolean&gt;());
             * </pre>
             *
             * @param map the backing map
             * @return the set backed by the map
             * @throws IllegalArgumentException if <tt>map</tt> is not empty
             * @since 1.6
             */
            public static <E> Set<E> newSetFromMap(Map<E, Boolean> map) {
                return new SetFromMap<E>(map);
            }

            /**
             * @serial include
             */
            private static class SetFromMap<E> extends AbstractSet<E> implements 
                    Set<E>, Serializable {
                private final Map<E, Boolean> m; // The backing map
                private transient Set<E> s; // Its keySet

                SetFromMap(Map<E, Boolean> map) {
                    if (!map.isEmpty())
                        throw new IllegalArgumentException("Map is non-empty");
                    m = map;
                    s = map.keySet();
                }

                public void clear() {
                    m.clear();
                }

                public int size() {
                    return m.size();
                }

                public boolean isEmpty() {
                    return m.isEmpty();
                }

                public boolean contains(Object o) {
                    return m.containsKey(o);
                }

                public boolean remove(Object o) {
                    return m.remove(o) != null;
                }

                public boolean add(E e) {
                    return m.put(e, Boolean.TRUE) == null;
                }

                public Iterator<E> iterator() {
                    return s.iterator();
                }

                public Object[] toArray() {
                    return s.toArray();
                }

                public <T> T[] toArray(T[] a) {
                    return s.toArray(a);
                }

                public String toString() {
                    return s.toString();
                }

                public int hashCode() {
                    return s.hashCode();
                }

                public boolean equals(Object o) {
                    return o == this  || s.equals(o);
                }

                public boolean containsAll(Collection<?> c) {
                    return s.containsAll(c);
                }

                public boolean removeAll(Collection<?> c) {
                    return s.removeAll(c);
                }

                public boolean retainAll(Collection<?> c) {
                    return s.retainAll(c);
                }

                // addAll is the only inherited implementation

                private static final long serialVersionUID = 2454657854757543876L;

                private void readObject(java.io.ObjectInputStream stream)
                        throws IOException, ClassNotFoundException {
                    stream.defaultReadObject();
                    s = m.keySet();
                }
            }

            /**
             * Returns a view of a {@link Deque} as a Last-in-first-out (Lifo)
             * {@link Queue}. Method <tt>add</tt> is mapped to <tt>push</tt>,
             * <tt>remove</tt> is mapped to <tt>pop</tt> and so on. This
             * view can be useful when you would like to use a method
             * requiring a <tt>Queue</tt> but you need Lifo ordering.
             *
             * <p>Each method invocation on the queue returned by this method
             * results in exactly one method invocation on the backing deque, with
             * one exception.  The {@link Queue#addAll addAll} method is
             * implemented as a sequence of {@link Deque#addFirst addFirst}
             * invocations on the backing deque.
             *
             * @param deque the deque
             * @return the queue
             * @since  1.6
             */
            public static <T> Queue<T> asLifoQueue(Deque<T> deque) {
                return new AsLIFOQueue<T>(deque);
            }

            /**
             * @serial include
             */
            static class AsLIFOQueue<E> extends AbstractQueue<E> implements 
                    Queue<E>, Serializable {
                private static final long serialVersionUID = 1802017725587941708L;
                private final Deque<E> q;

                AsLIFOQueue(Deque<E> q) {
                    this .q = q;
                }

                public boolean add(E e) {
                    q.addFirst(e);
                    return true;
                }

                public boolean offer(E e) {
                    return q.offerFirst(e);
                }

                public E poll() {
                    return q.pollFirst();
                }

                public E remove() {
                    return q.removeFirst();
                }

                public E peek() {
                    return q.peekFirst();
                }

                public E element() {
                    return q.getFirst();
                }

                public void clear() {
                    q.clear();
                }

                public int size() {
                    return q.size();
                }

                public boolean isEmpty() {
                    return q.isEmpty();
                }

                public boolean contains(Object o) {
                    return q.contains(o);
                }

                public boolean remove(Object o) {
                    return q.remove(o);
                }

                public Iterator<E> iterator() {
                    return q.iterator();
                }

                public Object[] toArray() {
                    return q.toArray();
                }

                public <T> T[] toArray(T[] a) {
                    return q.toArray(a);
                }

                public String toString() {
                    return q.toString();
                }

                public boolean containsAll(Collection<?> c) {
                    return q.containsAll(c);
                }

                public boolean removeAll(Collection<?> c) {
                    return q.removeAll(c);
                }

                public boolean retainAll(Collection<?> c) {
                    return q.retainAll(c);
                }
                // We use inherited addAll; forwarding addAll would be wrong
            }
        }
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