*/
    public static boolean isNewerThan410(String modelVersion) {
        if (modelVersion == null) {
            return false;
        }

        // Simple version comparison for now
        // This could be enhanced with proper version parsing if needed
        try {
            String[] parts = modelVersion.split("\\.");
            if (parts.length >= 2) {

            mac.update(data, offset, length);
            final byte[] cmp = new byte[SIGNATURE_LENGTH];
            System.arraycopy(mac.doFinal(), 0, cmp, 0, SIGNATURE_LENGTH);

            // Use constant-time comparison to prevent timing attacks
            if (!MessageDigest.isEqual(sig, cmp)) {
                return false; // Signature verification failed
            }
            return true; // Signature verification succeeded

    public boolean isDeleted() {
        return isUpdated() && newInputs.length == 0;
    }

    /**
     * Sorts both the current inputs and new inputs arrays in place.
     * This ensures consistent ordering for comparison and equality operations.
     */
    public void sort() {
        if (inputs != null) {
            Arrays.sort(inputs);
        }
        if (newInputs != null) {
            Arrays.sort(newInputs);

  public Map<K, Collection<V>> asMap() {
    Map<K, Collection<V>> result = asMap;
    return (result == null) ? asMap = createAsMap() : result;
  }

  abstract Map<K, Collection<V>> createAsMap();

  // Comparison and hashing

  @Override
  public boolean equals(@Nullable Object object) {
    return Multimaps.equalsImpl(this, object);
  }

  /**
   * Returns the hash code for this multimap.
   *

      int permutations = 1;
      int n = 1;
      int r = 1;
      while (n < sortedInputList.size()) {
        int comparison = comparator.compare(sortedInputList.get(n - 1), sortedInputList.get(n));
        if (comparison < 0) {
          // We move to the next non-repeated element.
          permutations = IntMath.saturatedMultiply(permutations, IntMath.binomial(n, r));
          r = 0;

 * may not be equal and may or may not have the same {@code hashCode}. The recommended subinterfaces
 * provide much stronger guarantees.
 *
 * <h3>Comparison to a map of collections</h3>
 *
 * <p>Multimaps are commonly used in places where a {@code Map<K, Collection<V>>} would otherwise
 * have appeared. The differences include:
 *
 * <ul>

        assertTrue(item1.equals(item2));
    }

    @Test
    public void test_equals_withNullInput() {
        // Test equals with null input - should not throw, uses null-safe comparison
        StopwordsItem item1 = new StopwordsItem(1, null);
        StopwordsItem item2 = new StopwordsItem(2, null);
        StopwordsItem item3 = new StopwordsItem(1, "word");

    }

    @Test
    @DisplayName("isSameTree: different types and delegated compare")
    void isSameTreeCoversBranches() {
        // Covers non-impl (false) and impl path delegating to connection comparison
        // Not an impl -> false
        assertFalse(handle.isSameTree(mock(SmbTreeHandle.class)));

        // Impl case delegates to treeConnection.isSame

            builder.allRecordCount(10);
            builder.allRecordCountRelation(Relation.EQUAL_TO.toString());
            return builder.build();
        }
    }

    /**
     * Normal test searcher for comparison.
     */
    static class TestSearcher extends RankFusionSearcher {
        private final long allRecordCount;

        TestSearcher(long allRecordCount) {
            this.allRecordCount = allRecordCount;

        boolean olderThanAll = true;
        for (String validValue : validVersions) {
            final int comparison = compareModelVersions(validValue, string);
            newerThanAll = newerThanAll && comparison < 0;
            olderThanAll = olderThanAll && comparison > 0;
        }

        if (newerThanAll) {
            addViolation(
                    problems,