E - the type of elements maintained by this setpublic class TreeSet<E> extends AbstractSet<E> implements NavigableSet<E>, Cloneable, Serializable
NavigableSet implementation based on a TreeMap. The elements are ordered using their
 natural ordering, or by a Comparator provided at set creation time, depending on
 which constructor is used.
 
 This implementation provides guaranteed log(n) time cost for the basic operations (add, remove and
 contains).
 
 Note that the ordering maintained by a set (whether or not an explicit comparator is provided) must be consistent
 with equals if it is to correctly implement the Set interface. (See Comparable or
 Comparator for a precise definition of consistent with equals.) This is so because the Set
 interface is defined in terms of the equals operation, but a TreeSet instance performs all element
 comparisons using its compareTo (or compare) method, so two elements that are deemed equal by this
 method are, from the standpoint of the set, equal. The behavior of a set is well-defined even if its ordering
 is inconsistent with equals; it just fails to obey the general contract of the Set interface.
 
 Note that this implementation is not synchronized. If multiple threads access a tree set
 concurrently, and at least one of the threads modifies the set, it must be synchronized externally. This is
 typically accomplished by synchronizing on some object that naturally encapsulates the set. If no such object exists,
 the set should be "wrapped" using the Collections.synchronizedSortedSet
 method. This is best done at creation time, to prevent accidental unsynchronized access to the set:
 
SortedSet s = Collections.synchronizedSortedSet(new TreeSet(...));
 The iterators returned by this class's iterator method are fail-fast: if the set is modified at any
 time after the iterator is created, in any way except through the iterator's own remove method, the iterator
 will throw a ConcurrentModificationException. Thus, in the face of concurrent modification, the iterator
 fails quickly and cleanly, rather than risking arbitrary, non-deterministic behavior at an undetermined time in the
 future.
 
 Note that the fail-fast behavior of an iterator cannot be guaranteed as it is, generally speaking, impossible to make
 any hard guarantees in the presence of unsynchronized concurrent modification. Fail-fast iterators throw
 ConcurrentModificationException on a best-effort basis. Therefore, it would be wrong to write a program that
 depended on this exception for its correctness: the fail-fast behavior of iterators should be used only to detect
 bugs.
 
This class is a member of the Java Collections Framework.
Collection, 
Set, 
HashSet, 
Comparable, 
Comparator, 
TreeMap, 
Serialized Form| Constructor and Description | 
|---|
| TreeSet()Constructs a new, empty tree set, sorted according to the natural ordering of its elements. | 
| TreeSet(Collection<? extends E> c)Constructs a new tree set containing the elements in the specified collection, sorted according to the natural
 ordering of its elements. | 
| TreeSet(Comparator<? super E> comparator)Constructs a new, empty tree set, sorted according to the specified comparator. | 
| TreeSet(SortedSet<E> s)Constructs a new tree set containing the same elements and using the same ordering as the specified sorted set. | 
| Modifier and Type | Method and Description | 
|---|---|
| boolean | add(E e)Adds the specified element to this set if it is not already present. | 
| boolean | addAll(Collection<? extends E> c)Adds all of the elements in the specified collection to this set. | 
| E | ceiling(E e)Returns the least element in this set greater than or equal to the given element, or  nullif there is no
 such element. | 
| void | clear()Removes all of the elements from this set. | 
| Object | clone()Returns a shallow copy of this  TreeSetinstance. | 
| Comparator<? super E> | comparator()Returns the comparator used to order the elements in this set, or null if this set uses the
 natural ordering of its elements. | 
| boolean | contains(Object o)Returns  trueif this set contains the specified element. | 
| Iterator<E> | descendingIterator()Returns an iterator over the elements in this set in descending order. | 
| NavigableSet<E> | descendingSet()Returns a reverse order view of the elements contained in this set. | 
| E | first()Returns the first (lowest) element currently in this set. | 
| E | floor(E e)Returns the greatest element in this set less than or equal to the given element, or  nullif there is no
 such element. | 
| SortedSet<E> | headSet(E toElement)Returns a view of the portion of this set whose elements are strictly less than toElement. | 
| NavigableSet<E> | headSet(E toElement,
       boolean inclusive)Returns a view of the portion of this set whose elements are less than (or equal to, if  inclusiveis
 true)toElement. | 
| E | higher(E e)Returns the least element in this set strictly greater than the given element, or  nullif there is no
 such element. | 
| boolean | isEmpty()Returns  trueif this set contains no elements. | 
| Iterator<E> | iterator()Returns an iterator over the elements in this set in ascending order. | 
| E | last()Returns the last (highest) element currently in this set. | 
| E | lower(E e)Returns the greatest element in this set strictly less than the given element, or  nullif there is no
 such element. | 
| E | pollFirst()Retrieves and removes the first (lowest) element, or returns  nullif this set is empty. | 
| E | pollLast()Retrieves and removes the last (highest) element, or returns  nullif this set is empty. | 
| boolean | remove(Object o)Removes the specified element from this set if it is present. | 
| int | size()Returns the number of elements in this set (its cardinality). | 
| NavigableSet<E> | subSet(E fromElement,
      boolean fromInclusive,
      E toElement,
      boolean toInclusive)Returns a view of the portion of this set whose elements range from  fromElementtotoElement. | 
| SortedSet<E> | subSet(E fromElement,
      E toElement)Returns a view of the portion of this set whose elements range from fromElement, inclusive, to
 toElement, exclusive. | 
| SortedSet<E> | tailSet(E fromElement)Returns a view of the portion of this set whose elements are greater than or equal to fromElement. | 
| NavigableSet<E> | tailSet(E fromElement,
       boolean inclusive)Returns a view of the portion of this set whose elements are greater than (or equal to, if  inclusiveis
 true)fromElement. | 
equals, hashCode, removeAllcontainsAll, retainAll, toArray, toArray, toStringpublic TreeSet()
Comparable interface. Furthermore, all such elements must be mutually
 comparable: e1.compareTo(e2) must not throw a ClassCastException for any elements e1
 and e2 in the set. If the user attempts to add an element to the set that violates this constraint (for
 example, the user attempts to add a string element to a set whose elements are integers), the add call
 will throw a ClassCastException.public TreeSet(Collection<? extends E> c)
Comparable interface.
 Furthermore, all such elements must be mutually comparable: e1.compareTo(e2) must not throw a
 ClassCastException for any elements e1 and e2 in the set.c - collection whose elements will comprise the new setClassCastException - if the elements in c are not Comparable, or are not mutually comparableNullPointerException - if the specified collection is nullpublic TreeSet(@Nullable Comparator<? super E> comparator)
comparator.compare(e1,
 e2) must not throw a ClassCastException for any elements e1 and e2 in the set. If the
 user attempts to add an element to the set that violates this constraint, the add call will throw a
 ClassCastException.comparator - the comparator that will be used to order this set. If null, the natural ordering of the elements will be used.public TreeSet(SortedSet<E> s)
s - sorted set whose elements will comprise the new setNullPointerException - if the specified sorted set is nullpublic boolean add(E e)
e to this set if the set contains no element e2 such that
 (e==null ? e2==null : e.equals(e2)). If this set already contains the element, the
 call leaves the set unchanged and returns false.add in interface Collection<E>add in interface Set<E>add in class AbstractCollection<E>e - element to be added to this settrue if this set did not already contain the specified elementClassCastException - if the specified object cannot be compared with the elements currently in this setNullPointerException - if the specified element is null and this set uses natural ordering, or its comparator does not
             permit null elementspublic boolean addAll(Collection<? extends E> c)
addAll in interface Collection<E>addAll in interface Set<E>addAll in class AbstractCollection<E>c - collection containing elements to be added to this settrue if this set changed as a result of the callClassCastException - if the elements provided cannot be compared with the elements currently in the setNullPointerException - if the specified collection is null or if any element is null and this set uses natural ordering, or
             its comparator does not permit null elementsAbstractCollection.add(Object)@Nullable public E ceiling(E e)
NavigableSetnull if there is no
 such element.ceiling in interface NavigableSet<E>e - the value to matche, or null if there is no such elementClassCastException - if the specified element cannot be compared with the elements currently in the setNullPointerException - if the specified element is null and this set uses natural ordering, or its comparator does not
             permit null elementspublic void clear()
clear in interface Collection<E>clear in interface Set<E>clear in class AbstractCollection<E>public Object clone()
TreeSet instance. (The elements themselves are not cloned.)@Nullable public Comparator<? super E> comparator()
SortedSetcomparator in interface SortedSet<E>public boolean contains(Object o)
true if this set contains the specified element. More formally, returns true if and only
 if this set contains an element e such that
 (o==null ? e==null : o.equals(e)).contains in interface Collection<E>contains in interface Set<E>contains in class AbstractCollection<E>o - object to be checked for containment in this settrue if this set contains the specified elementClassCastException - if the specified object cannot be compared with the elements currently in the setNullPointerException - if the specified element is null and this set uses natural ordering, or its comparator does not
             permit null elementspublic Iterator<E> descendingIterator()
descendingIterator in interface NavigableSet<E>public NavigableSet<E> descendingSet()
NavigableSetremove operation), the
 results of the iteration are undefined.
 
 The returned set has an ordering equivalent to
 Collections.reverseOrder(comparator()). The expression
 s.descendingSet().descendingSet() returns a view of s essentially equivalent to s.
descendingSet in interface NavigableSet<E>public E first()
SortedSetfirst in interface SortedSet<E>NoSuchElementException - if this set is empty@Nullable public E floor(E e)
NavigableSetnull if there is no
 such element.floor in interface NavigableSet<E>e - the value to matche, or null if there is no such elementClassCastException - if the specified element cannot be compared with the elements currently in the setNullPointerException - if the specified element is null and this set uses natural ordering, or its comparator does not
             permit null elementspublic SortedSet<E> headSet(E toElement)
NavigableSetThe returned set will throw an IllegalArgumentException on an attempt to insert an element outside its range.
 Equivalent to headSet(toElement, false).
headSet in interface NavigableSet<E>headSet in interface SortedSet<E>toElement - high endpoint (exclusive) of the returned setClassCastException - if toElement is not compatible with this set's comparator (or, if the set has no comparator,
             if toElement does not implement Comparable). Implementations may, but are not
             required to, throw this exception if toElement cannot be compared to elements currently in
             the set.NullPointerException - if toElement is null and this set uses natural ordering, or its comparator does not permit
             null elementsIllegalArgumentException - if this set itself has a restricted range, and toElement lies outside the bounds of the
             rangepublic NavigableSet<E> headSet(E toElement, boolean inclusive)
NavigableSetinclusive is
 true) toElement. The returned set is backed by this set, so changes in the returned set are reflected in
 this set, and vice-versa. The returned set supports all optional set operations that this set supports.
 
 The returned set will throw an IllegalArgumentException on an attempt to insert an element outside its
 range.
headSet in interface NavigableSet<E>toElement - high endpoint of the returned setinclusive - true if the high endpoint is to be included in the returned viewinclusive is
         true) toElementClassCastException - if toElement is not compatible with this set's comparator (or, if the set has no comparator,
             if toElement does not implement Comparable). Implementations may, but are not
             required to, throw this exception if toElement cannot be compared to elements currently in
             the set.NullPointerException - if toElement is null and this set uses natural ordering, or its comparator does not permit
             null elementsIllegalArgumentException - if this set itself has a restricted range, and toElement lies outside the bounds of the range@Nullable public E higher(E e)
NavigableSetnull if there is no
 such element.higher in interface NavigableSet<E>e - the value to matche, or null if there is no such elementClassCastException - if the specified element cannot be compared with the elements currently in the setNullPointerException - if the specified element is null and this set uses natural ordering, or its comparator does not
             permit null elementspublic boolean isEmpty()
true if this set contains no elements.isEmpty in interface Collection<E>isEmpty in interface Set<E>isEmpty in class AbstractCollection<E>true if this set contains no elementspublic Iterator<E> iterator()
iterator in interface Iterable<E>iterator in interface Collection<E>iterator in interface NavigableSet<E>iterator in interface Set<E>iterator in class AbstractCollection<E>public E last()
SortedSetlast in interface SortedSet<E>NoSuchElementException - if this set is empty@Nullable public E lower(E e)
NavigableSetnull if there is no
 such element.lower in interface NavigableSet<E>e - the value to matche, or null if there is no such elementClassCastException - if the specified element cannot be compared with the elements currently in the setNullPointerException - if the specified element is null and this set uses natural ordering, or its comparator does not
             permit null elements@Nullable public E pollFirst()
NavigableSetnull if this set is empty.pollFirst in interface NavigableSet<E>null if this set is empty@Nullable public E pollLast()
NavigableSetnull if this set is empty.pollLast in interface NavigableSet<E>null if this set is emptypublic boolean remove(Object o)
e such
 that (o==null ? e==null : o.equals(e)), if this set contains such an element.
 Returns true if this set contained the element (or equivalently, if this set changed as a result of the
 call). (This set will not contain the element once the call returns.)remove in interface Collection<E>remove in interface Set<E>remove in class AbstractCollection<E>o - object to be removed from this set, if presenttrue if this set contained the specified elementClassCastException - if the specified object cannot be compared with the elements currently in this setNullPointerException - if the specified element is null and this set uses natural ordering, or its comparator does not
             permit null elementspublic int size()
size in interface Collection<E>size in interface Set<E>size in class AbstractCollection<E>public NavigableSet<E> subSet(E fromElement, boolean fromInclusive, E toElement, boolean toInclusive)
NavigableSetfromElement to toElement. If
 fromElement and toElement are equal, the returned set is empty unless fromInclusive and toInclusive are both true. The returned set is backed by this set, so changes in the
 returned set are reflected in this set, and vice-versa. The returned set supports all optional set operations
 that this set supports.
 
 The returned set will throw an IllegalArgumentException on an attempt to insert an element outside its
 range.
subSet in interface NavigableSet<E>fromElement - low endpoint of the returned setfromInclusive - true if the low endpoint is to be included in the returned viewtoElement - high endpoint of the returned settoInclusive - true if the high endpoint is to be included in the returned viewfromElement, inclusive, to
         toElement, exclusiveClassCastException - if fromElement and toElement cannot be compared to one another using this set's
             comparator (or, if the set has no comparator, using natural ordering). Implementations may, but are
             not required to, throw this exception if fromElement or toElement cannot be compared
             to elements currently in the set.NullPointerException - if fromElement or toElement is null and this set uses natural ordering, or its
             comparator does not permit null elementsIllegalArgumentException - if fromElement is greater than toElement; or if this set itself has a restricted
             range, and fromElement or toElement lies outside the bounds of the range.public SortedSet<E> subSet(E fromElement, E toElement)
NavigableSetThe returned set will throw an IllegalArgumentException on an attempt to insert an element outside its range.
 Equivalent to subSet(fromElement, true, toElement, false).
subSet in interface NavigableSet<E>subSet in interface SortedSet<E>fromElement - low endpoint (inclusive) of the returned settoElement - high endpoint (exclusive) of the returned setClassCastException - if fromElement and toElement cannot be compared to one another using this set's
             comparator (or, if the set has no comparator, using natural ordering). Implementations may, but are
             not required to, throw this exception if fromElement or toElement cannot be
             compared to elements currently in the set.NullPointerException - if fromElement or toElement is null and this set uses natural ordering, or its
             comparator does not permit null elementsIllegalArgumentException - if fromElement is greater than toElement; or if this set itself has a restricted
             range, and fromElement or toElement lies outside the bounds of the rangepublic SortedSet<E> tailSet(E fromElement)
NavigableSetThe returned set will throw an IllegalArgumentException on an attempt to insert an element outside its range.
 Equivalent to tailSet(fromElement, true).
tailSet in interface NavigableSet<E>tailSet in interface SortedSet<E>fromElement - low endpoint (inclusive) of the returned setClassCastException - if fromElement is not compatible with this set's comparator (or, if the set has no
             comparator, if fromElement does not implement Comparable). Implementations may, but
             are not required to, throw this exception if fromElement cannot be compared to elements
             currently in the set.NullPointerException - if fromElement is null and this set uses natural ordering, or its comparator does not permit
             null elementsIllegalArgumentException - if this set itself has a restricted range, and fromElement lies outside the bounds of the
             rangepublic NavigableSet<E> tailSet(E fromElement, boolean inclusive)
NavigableSetinclusive is
 true) fromElement. The returned set is backed by this set, so changes in the returned set are reflected
 in this set, and vice-versa. The returned set supports all optional set operations that this set supports.
 
 The returned set will throw an IllegalArgumentException on an attempt to insert an element outside its
 range.
tailSet in interface NavigableSet<E>fromElement - low endpoint of the returned setinclusive - true if the low endpoint is to be included in the returned viewfromElementClassCastException - if fromElement is not compatible with this set's comparator (or, if the set has no
             comparator, if fromElement does not implement Comparable). Implementations may, but
             are not required to, throw this exception if fromElement cannot be compared to elements
             currently in the set.NullPointerException - if fromElement is null and this set uses natural ordering, or its comparator does not permit
             null elementsIllegalArgumentException - if this set itself has a restricted range, and fromElement lies outside the bounds of the
             range