* 📝 Update includes in `docs/en/docs/tutorial/path-params-numeric-validations.md`. PR [#12825](https://github.com/fastapi/fastapi/pull/12825) by [@zhaohan-dong](https://github.com/zhaohan-dong).

    @Override
    public Iterator<Integer> iterator() {
      return SOME_COLLECTION.iterator();
    }

    @GwtIncompatible @J2ktIncompatible private static final long serialVersionUID = 0;
  }

  private static final List<Integer> SOME_LIST = Lists.newArrayList(1, 2, 3, 4);

  private static final List<Integer> SOME_SEQUENTIAL_LIST = new LinkedList<>(asList(1, 2, 3, 4));

        if (client == null) {
            throw new CrawlingAccessException("CrawlerClient is null for " + url);
        }

        final SystemHelper systemHelper = ComponentUtil.getSystemHelper();
        final long startTime = systemHelper.getCurrentTimeAsLong();
        try (final ResponseData responseData = client.execute(RequestDataBuilder.newRequestData().get().url(url).build())) {
            if (responseData.getRedirectLocation() != null) {

             */

            if (this.wordCount > 2) {
                readParameterWordsWireFormat(buffer, bufferIndex + 4);

                /*
                 * The SMB_COM_NT_CREATE_ANDX response wordCount is wrong. There's an
                 * extra 16 bytes for some "Offline Files (CSC or Client Side Caching)"
                 * junk. We need to bump up the wordCount here so that this method returns

        // Setup mock file with minimal required behavior
        String content = "File content for testing";
        byte[] contentBytes = content.getBytes();

        when(smbFile.length()).thenReturn((long) contentBytes.length);
        when(smbFile.getInputStream()).thenReturn(new ByteArrayInputStream(contentBytes));

        // Use spy to avoid actual SMB operations
        NetworkExplorer spyExplorer = spy(networkExplorer);

We are going to start from where we left in the previous chapter and increment it.

## About JWT { #about-jwt }

JWT means "JSON Web Tokens".

It's a standard to codify a JSON object in a long dense string without spaces. It looks like this:

```
eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJzdWIiOiIxMjM0NTY3ODkwIiwibmFtZSI6IkpvaG4gRG9lIiwiaWF0IjoxNTE2MjM5MDIyfQ.SflKxwRJSMeKKF2QT4fwpMeJf36POk6yJV_adQssw5c
```

        // than expected, so we're not asserting null for HOST1
    }

    @Test
    void testPopulateWithLongHostname() throws Exception {
        // Create a temporary lmhosts file with long hostname
        String longHostname = "VERYLONGHOSTNAMETHATSHOULDSTILLWORK";
        File lmhostsFile = tempDir.resolve("lmhosts_long").toFile();
        try (FileWriter writer = new FileWriter(lmhostsFile)) {

        assertTrue(result);

        // Verify deletion
        client.admin().indices().prepareRefresh(TEST_INDEX).execute().actionGet();
        long count = client.prepareSearch(TEST_INDEX)
                .setQuery(QueryBuilders.termQuery("field", "value1"))
                .execute()
                .actionGet()
                .getHits()

	nameSize   = 100 // Max length of the name field in USTAR format
	prefixSize = 155 // Max length of the prefix field in USTAR format

	// Max length of a special file (PAX header, GNU long name or link).
	// This matches the limit used by libarchive.
	maxSpecialFileSize = 1 << 20
)

// blockPadding computes the number of bytes needed to pad offset up to the

    rather than copying library functions into the executable, and (2)
    will operate properly with a modified version of the library, if
    the user installs one, as long as the modified version is
    interface-compatible with the version that the work was made with.

    c) Accompany the work with a written offer, valid for at
    least three years, to give the same user the materials