K - the type of keys maintained by this mapV - the type of mapped valuespublic interface NavigableMap<K,V> extends SortedMap<K,V>
SortedMap extended with navigation methods returning the closest matches for given search targets. Methods
 lowerEntry, floorEntry, ceilingEntry, and higherEntry return Map.Entry
 objects associated with keys respectively less than, less than or equal, greater than or equal, and greater than a
 given key, returning null if there is no such key. Similarly, methods lowerKey, floorKey,
 ceilingKey, and higherKey return only the associated keys. All of these methods are designed for
 locating, not traversing entries.
 
 A NavigableMap may be accessed and traversed in either ascending or descending key order. The
 descendingMap method returns a view of the map with the senses of all relational and directional methods
 inverted. The performance of ascending operations and views is likely to be faster than that of descending ones.
 Methods subMap, headMap, and tailMap differ from the like-named SortedMap methods in accepting additional arguments describing whether lower and upper bounds are inclusive versus
 exclusive. Submaps of any NavigableMap must implement the NavigableMap interface.
 
 This interface additionally defines methods firstEntry, pollFirstEntry, lastEntry, and
 pollLastEntry that return and/or remove the least and greatest mappings, if any exist, else returning
 null.
 
 Implementations of entry-returning methods are expected to return Map.Entry pairs representing snapshots of
 mappings at the time they were produced, and thus generally do not support the optional
 Entry.setValue method. Note however that it is possible to change mappings in the associated map using method
 put.
 
 Methods subMap(K, K), headMap(K), and
 tailMap(K) are specified to return SortedMap to allow existing implementations of
 SortedMap to be compatibly retrofitted to implement NavigableMap, but extensions and implementations
 of this interface are encouraged to override these methods to return NavigableMap. Similarly,
 SortedMap.keySet() can be overriden to return NavigableSet.
 
This interface is a member of the Java Collections Framework.
| Modifier and Type | Method and Description | 
|---|---|
| Map.Entry<K,V> | ceilingEntry(K key)Returns a key-value mapping associated with the least key greater than or equal to the given key, or  nullif there is no such key. | 
| K | ceilingKey(K key)Returns the least key greater than or equal to the given key, or  nullif there is no such key. | 
| NavigableSet<K> | descendingKeySet()Returns a reverse order  NavigableSetview of the keys contained in this map. | 
| NavigableMap<K,V> | descendingMap()Returns a reverse order view of the mappings contained in this map. | 
| Map.Entry<K,V> | firstEntry()Returns a key-value mapping associated with the least key in this map, or  nullif the map is empty. | 
| Map.Entry<K,V> | floorEntry(K key)Returns a key-value mapping associated with the greatest key less than or equal to the given key, or  nullif there is no such key. | 
| K | floorKey(K key)Returns the greatest key less than or equal to the given key, or  nullif there is no such key. | 
| SortedMap<K,V> | headMap(K toKey)Returns a view of the portion of this map whose keys are strictly less than  toKey. | 
| NavigableMap<K,V> | headMap(K toKey,
       boolean inclusive)Returns a view of the portion of this map whose keys are less than (or equal to, if  inclusiveis true)toKey. | 
| Map.Entry<K,V> | higherEntry(K key)Returns a key-value mapping associated with the least key strictly greater than the given key, or  nullif
 there is no such key. | 
| K | higherKey(K key)Returns the least key strictly greater than the given key, or  nullif there is no such key. | 
| Map.Entry<K,V> | lastEntry()Returns a key-value mapping associated with the greatest key in this map, or  nullif the map is empty. | 
| Map.Entry<K,V> | lowerEntry(K key)Returns a key-value mapping associated with the greatest key strictly less than the given key, or  nullif
 there is no such key. | 
| K | lowerKey(K key)Returns the greatest key strictly less than the given key, or  nullif there is no such key. | 
| NavigableSet<K> | navigableKeySet()Returns a  NavigableSetview of the keys contained in this map. | 
| Map.Entry<K,V> | pollFirstEntry()Removes and returns a key-value mapping associated with the least key in this map, or  nullif the map is
 empty. | 
| Map.Entry<K,V> | pollLastEntry()Removes and returns a key-value mapping associated with the greatest key in this map, or  nullif the map
 is empty. | 
| NavigableMap<K,V> | subMap(K fromKey,
      boolean fromInclusive,
      K toKey,
      boolean toInclusive)Returns a view of the portion of this map whose keys range from  fromKeytotoKey. | 
| SortedMap<K,V> | subMap(K fromKey,
      K toKey)Returns a view of the portion of this map whose keys range from  fromKey, inclusive, totoKey,
 exclusive. | 
| SortedMap<K,V> | tailMap(K fromKey)Returns a view of the portion of this map whose keys are greater than or equal to  fromKey. | 
| NavigableMap<K,V> | tailMap(K fromKey,
       boolean inclusive)Returns a view of the portion of this map whose keys are greater than (or equal to, if  inclusiveis true)fromKey. | 
@Nullable Map.Entry<K,V> ceilingEntry(K key)
null
 if there is no such key.key - the keykey, or null if there is no such keyClassCastException - if the specified key cannot be compared with the keys currently in the mapNullPointerException - if the specified key is null and this map does not permit null keys@Nullable K ceilingKey(K key)
null if there is no such key.key - the keykey, or null if there is no such keyClassCastException - if the specified key cannot be compared with the keys currently in the mapNullPointerException - if the specified key is null and this map does not permit null keysNavigableSet<K> descendingKeySet()
NavigableSet view of the keys contained in this map. The set's iterator returns
 the keys in descending order. The set is backed by the map, so changes to the map are reflected in the set, and
 vice-versa. If the map is modified while an iteration over the set is in progress (except through the iterator's
 own remove operation), the results of the iteration are undefined. The set supports element removal, which removes
 the corresponding mapping from the map, via the Iterator.remove, Set.remove, removeAll,
 retainAll, and clear operations. It does not support the add or addAll
 operations.NavigableMap<K,V> descendingMap()
remove
 operation), the results of the iteration are undefined.
 
 The returned map has an ordering equivalent to
 Collections.reverseOrder(comparator()). The expression
 m.descendingMap().descendingMap() returns a view of m essentially equivalent to m.
@Nullable Map.Entry<K,V> firstEntry()
null if the map is empty.null if this map is empty@Nullable Map.Entry<K,V> floorEntry(K key)
null
 if there is no such key.key - the keykey, or null if there is no such keyClassCastException - if the specified key cannot be compared with the keys currently in the mapNullPointerException - if the specified key is null and this map does not permit null keys@Nullable K floorKey(K key)
null if there is no such key.key - the keykey, or null if there is no such keyClassCastException - if the specified key cannot be compared with the keys currently in the mapNullPointerException - if the specified key is null and this map does not permit null keysSortedMap<K,V> headMap(K toKey)
toKey. The returned map is
 backed by this map, so changes in the returned map are reflected in this map, and vice-versa. The returned map
 supports all optional map operations that this map supports.
 
 The returned map will throw an IllegalArgumentException on an attempt to insert a key outside its range.
 
 Equivalent to headMap(toKey, false).
headMap in interface SortedMap<K,V>toKey - high endpoint (exclusive) of the keys in the returned maptoKeyClassCastException - if toKey is not compatible with this map's comparator (or, if the map has no comparator, if
             toKey does not implement Comparable). Implementations may, but are not required to,
             throw this exception if toKey cannot be compared to keys currently in the map.NullPointerException - if toKey is null and this map does not permit null keysIllegalArgumentException - if this map itself has a restricted range, and toKey lies outside the bounds of the rangeNavigableMap<K,V> headMap(K toKey, boolean inclusive)
inclusive is true)
 toKey. The returned map is backed by this map, so changes in the returned map are reflected in this map,
 and vice-versa. The returned map supports all optional map operations that this map supports.
 
 The returned map will throw an IllegalArgumentException on an attempt to insert a key outside its range.
toKey - high endpoint of the keys in the returned mapinclusive - true if the high endpoint is to be included in the returned viewinclusive is true)
         toKeyClassCastException - if toKey is not compatible with this map's comparator (or, if the map has no comparator, if
             toKey does not implement Comparable). Implementations may, but are not required to,
             throw this exception if toKey cannot be compared to keys currently in the map.NullPointerException - if toKey is null and this map does not permit null keysIllegalArgumentException - if this map itself has a restricted range, and toKey lies outside the bounds of the range@Nullable Map.Entry<K,V> higherEntry(K key)
null if
 there is no such key.key - the keykey, or null if there is no such keyClassCastException - if the specified key cannot be compared with the keys currently in the mapNullPointerException - if the specified key is null and this map does not permit null keys@Nullable K higherKey(K key)
null if there is no such key.key - the keykey, or null if there is no such keyClassCastException - if the specified key cannot be compared with the keys currently in the mapNullPointerException - if the specified key is null and this map does not permit null keys@Nullable Map.Entry<K,V> lastEntry()
null if the map is empty.null if this map is empty@Nullable Map.Entry<K,V> lowerEntry(K key)
null if
 there is no such key.key - the keykey, or null if there is no such keyClassCastException - if the specified key cannot be compared with the keys currently in the mapNullPointerException - if the specified key is null and this map does not permit null keys@Nullable K lowerKey(K key)
null if there is no such key.key - the keykey, or null if there is no such keyClassCastException - if the specified key cannot be compared with the keys currently in the mapNullPointerException - if the specified key is null and this map does not permit null keysNavigableSet<K> navigableKeySet()
NavigableSet view of the keys contained in this map. The set's iterator returns the keys in
 ascending order. The set is backed by the map, so changes to the map are reflected in the set, and vice-versa. If
 the map is modified while an iteration over the set is in progress (except through the iterator's own remove operation), the results of the iteration are undefined. The set supports element removal, which removes
 the corresponding mapping from the map, via the Iterator.remove, Set.remove, removeAll,
 retainAll, and clear operations. It does not support the add or addAll
 operations.@Nullable Map.Entry<K,V> pollFirstEntry()
null if the map is
 empty.null if this map is empty@Nullable Map.Entry<K,V> pollLastEntry()
null if the map
 is empty.null if this map is emptyNavigableMap<K,V> subMap(K fromKey, boolean fromInclusive, K toKey, boolean toInclusive)
fromKey to toKey. If
 fromKey and toKey are equal, the returned map is empty unless fromInclusive and
 toInclusive are both true. The returned map is backed by this map, so changes in the returned map are
 reflected in this map, and vice-versa. The returned map supports all optional map operations that this map
 supports.
 
 The returned map will throw an IllegalArgumentException on an attempt to insert a key outside of its
 range, or to construct a submap either of whose endpoints lie outside its range.
fromKey - low endpoint of the keys in the returned mapfromInclusive - true if the low endpoint is to be included in the returned viewtoKey - high endpoint of the keys in the returned maptoInclusive - true if the high endpoint is to be included in the returned viewfromKey to toKeyClassCastException - if fromKey and toKey cannot be compared to one another using this map's comparator
             (or, if the map has no comparator, using natural ordering). Implementations may, but are not required
             to, throw this exception if fromKey or toKey cannot be compared to keys currently in
             the map.NullPointerException - if fromKey or toKey is null and this map does not permit null keysIllegalArgumentException - if fromKey is greater than toKey; or if this map itself has a restricted range, and
             fromKey or toKey lies outside the bounds of the rangeSortedMap<K,V> subMap(K fromKey, K toKey)
fromKey, inclusive, to toKey,
 exclusive. (If fromKey and toKey are equal, the returned map is empty.) The returned map is
 backed by this map, so changes in the returned map are reflected in this map, and vice-versa. The returned map
 supports all optional map operations that this map supports.
 
 The returned map will throw an IllegalArgumentException on an attempt to insert a key outside its range.
 
 Equivalent to subMap(fromKey, true, toKey, false).
subMap in interface SortedMap<K,V>fromKey - low endpoint (inclusive) of the keys in the returned maptoKey - high endpoint (exclusive) of the keys in the returned mapfromKey, inclusive, to toKey,
         exclusiveClassCastException - if fromKey and toKey cannot be compared to one another using this map's comparator
             (or, if the map has no comparator, using natural ordering). Implementations may, but are not required
             to, throw this exception if fromKey or toKey cannot be compared to keys currently in
             the map.NullPointerException - if fromKey or toKey is null and this map does not permit null keysIllegalArgumentException - if fromKey is greater than toKey; or if this map itself has a restricted range, and
             fromKey or toKey lies outside the bounds of the rangeSortedMap<K,V> tailMap(K fromKey)
fromKey. The returned
 map is backed by this map, so changes in the returned map are reflected in this map, and vice-versa. The returned
 map supports all optional map operations that this map supports.
 
 The returned map will throw an IllegalArgumentException on an attempt to insert a key outside its range.
 
 Equivalent to tailMap(fromKey, true).
tailMap in interface SortedMap<K,V>fromKey - low endpoint (inclusive) of the keys in the returned mapfromKeyClassCastException - if fromKey is not compatible with this map's comparator (or, if the map has no comparator, if
             fromKey does not implement Comparable). Implementations may, but are not required to,
             throw this exception if fromKey cannot be compared to keys currently in the map.NullPointerException - if fromKey is null and this map does not permit null keysIllegalArgumentException - if this map itself has a restricted range, and fromKey lies outside the bounds of the rangeNavigableMap<K,V> tailMap(K fromKey, boolean inclusive)
inclusive is true)
 fromKey. The returned map is backed by this map, so changes in the returned map are reflected in this
 map, and vice-versa. The returned map supports all optional map operations that this map supports.
 
 The returned map will throw an IllegalArgumentException on an attempt to insert a key outside its range.
fromKey - low endpoint of the keys in the returned mapinclusive - true if the low endpoint is to be included in the returned viewinclusive is true)
         fromKeyClassCastException - if fromKey is not compatible with this map's comparator (or, if the map has no comparator, if
             fromKey does not implement Comparable). Implementations may, but are not required to,
             throw this exception if fromKey cannot be compared to keys currently in the map.NullPointerException - if fromKey is null and this map does not permit null keysIllegalArgumentException - if this map itself has a restricted range, and fromKey lies outside the bounds of the range