* they're defined above -- including logic to add and subtract 1 to map between the values stored
   * in the predecessor/successor arrays and the indexes in the elements array that they identify.
   */

    /**
     * Constructs KerberosEncData from encrypted token bytes.
     *
     * @param token the encrypted Kerberos token
     * @param keys map of encryption keys indexed by key type
     * @throws PACDecodingException if decoding fails
     */
    public KerberosEncData(byte[] token, Map<Integer, KerberosKey> keys) throws PACDecodingException {

 */
public class ProcessHelper {
    /** Logger instance for this class */
    private static final Logger logger = LogManager.getLogger(ProcessHelper.class);

    /** Map of running processes indexed by session ID */
    protected final ConcurrentHashMap<String, JobProcess> runningProcessMap = new ConcurrentHashMap<>();

    /** Timeout in seconds for process destruction */
    protected int processDestroyTimeout = 10;

    /** Logger instance for this factory class. */
    private static final Logger logger = LogManager.getLogger(DataStoreFactory.class);

    /**
     * Map containing registered data store instances indexed by their names and class simple names.
     * All keys are stored in lowercase for case-insensitive lookup.
     */
    protected Map<String, DataStore> dataStoreMap = new LinkedHashMap<>();

    /**

- Fix indexer bug that resulted in incorrect index updates if number of index values for a given object was changing during update ([#109137](https://github.com/kubernetes/kubernetes/pull/109137), [@wojtek-t](https://github.com/wojtek-t)) [SIG API Machinery]

        documentList.add(doc2);

        QueryResponseList qrList = new QueryResponseList(documentList, 0, 10, 0);

        // Test boundary indexes
        assertEquals(doc1, qrList.get(0));
        assertEquals(doc2, qrList.get(1));

        // Test subList with boundary indexes
        List<Map<String, Object>> subList = qrList.subList(0, 2);
        assertEquals(2, subList.size());

 */
@Beta
public final class BloomFilter<T extends @Nullable Object> implements Predicate<T>, Serializable {
  /**
   * A strategy to translate T instances, to {@code numHashFunctions} bit indexes.
   *
   * <p>Implementations should be collections of pure functions (i.e. stateless).
   */
  interface Strategy extends java.io.Serializable {

    /**

      sort(
          insertionOrder,
          new Comparator<V>() {
            @Override
            public int compare(V left, V right) {
              // The indexes are small enough for the subtraction trick to be safe.
              return indexOfEntryWithValue(left) - indexOfEntryWithValue(right);
            }

            int indexOfEntryWithValue(V value) {

    }
    return a.subSequence(a.length() - s, a.length()).toString();
  }

  /**
   * True when a valid surrogate pair starts at the given {@code index} in the given {@code string}.
   * Out-of-range indexes return false.
   */
  @VisibleForTesting
  static boolean validSurrogatePairAt(CharSequence string, int index) {
    return index >= 0
        && index <= (string.length() - 2)

                    deleteOldDocs();
                }
            }
        }

        /**
         * Deletes old documents from the search index.
         * This method removes documents that were indexed in previous
         * crawling sessions for the same data configuration, keeping
         * only the documents from the current session.
         *
         * <p>The deletion process:</p>
         * <ul>