return getSubMap(keySet.tailIndex(checkNotNull(fromKey), inclusive), size());
  }

  @Override
  public @Nullable Entry<K, V> lowerEntry(K key) {
    return headMap(key, false).lastEntry();
  }

  @Override
  public @Nullable K lowerKey(K key) {
    return keyOrNull(lowerEntry(key));
  }

  @Override
  public @Nullable Entry<K, V> floorEntry(K key) {
    return headMap(key, true).lastEntry();

        return nullableSynchronizedEntry(delegate().lastEntry(), mutex);
      }
    }

    @Override
    public Map.@Nullable Entry<K, V> lowerEntry(K key) {
      synchronized (mutex) {
        return nullableSynchronizedEntry(delegate().lowerEntry(key), mutex);
      }
    }

    @Override
    public @Nullable K lowerKey(K key) {
      synchronized (mutex) {

        return nullableSynchronizedEntry(delegate().lastEntry(), mutex);
      }
    }

    @Override
    public Map.@Nullable Entry<K, V> lowerEntry(K key) {
      synchronized (mutex) {
        return nullableSynchronizedEntry(delegate().lowerEntry(key), mutex);
      }
    }

    @Override
    public @Nullable K lowerKey(K key) {
      synchronized (mutex) {

    return getSubMap(keySet.tailIndex(checkNotNull(fromKey), inclusive), size());
  }

  @Override
  public @Nullable Entry<K, V> lowerEntry(K key) {
    return headMap(key, false).lastEntry();
  }

  @Override
  public @Nullable K lowerKey(K key) {
    return keyOrNull(lowerEntry(key));
  }

  @Override
  public @Nullable Entry<K, V> floorEntry(K key) {
    return headMap(key, true).lastEntry();

    assertEquals(map.headMap("three", true), map.descendingMap().tailMap("three", true));
    assertThat(map.tailMap("three", false).entrySet()).contains(mapEntry("two", 3));
    assertThat(map.tailMap("three", true).lowerEntry("three")).isNull();
    assertThat(map.headMap("two", false).values()).containsExactly(3, 5).inOrder();
    assertThat(map.headMap("two", false).descendingMap().values()).containsExactly(5, 3).inOrder();