/** Notify of modify action flag */
    int FLAGS_NOTIFY_OF_MODIFY_ACTION = 0x40;
    /** Response flag */
    int FLAGS_RESPONSE = 0x80;

    /** No flags2 set */
    int FLAGS2_NONE = 0x0000;
    /** Long filenames supported flag */
    int FLAGS2_LONG_FILENAMES = 0x0001;
    /** Extended attributes supported flag */
    int FLAGS2_EXTENDED_ATTRIBUTES = 0x0002;
    /** Security signatures supported flag */

     *
     * <p>It is strongly encouraged to use {@link #add(String, long)} instead and give value a
     * readable name.
     *
     * @since 18.0 (since 11.0 as {@code Objects.ToStringHelper.addValue}).
     */
    @CanIgnoreReturnValue
    public ToStringHelper addValue(long value) {
      return addUnconditionalHolder(String.valueOf(value));
    }

### Альтернативная документация API { #alternative-api-docs }

Теперь откройте [http://127.0.0.1:8000/redoc](http://127.0.0.1:8000/redoc).

Вы увидите альтернативную автоматическую документацию (предоставлена [ReDoc](https://github.com/Rebilly/ReDoc)):

![ReDoc](https://fastapi.tiangolo.com/img/index/index-02-redoc-simple.png)

## Пример обновления { #example-upgrade }

input.error,input.valid,select.error,select.valid{background-position:right 5px center;background-repeat:no-repeat}input.error,select.error{border-color:#b94a48;background-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABMAAAARCAYAAAA/mJfHAAAACXBIWXMAAAsTAAALEwEAmpwYAAAYSmlDQ1BQaG90b3Nob3AgSUNDIHByb2ZpbGUAAHjarVllVBV/t94TJ6hDdx26pLu7QboVOHRzODQYoIAICmKggoKCiogKBiklJqKIKKhYhIgoKgaKinI/gP7f9733frhr3d+HWc888+y9n73XrJk18wMQFqDR6XEoB0B8QgrD3daC6uvnTyW9ABSEgAJrQJUWmkw3d3V1gv95IQBfRwEBALivT...

你會看到主應用的自動 API 文件，只包含它自己的*路徑操作*：

<img src="/img/tutorial/sub-applications/image01.png">

接著，開啟子應用程式的文件：[http://127.0.0.1:8000/subapi/docs](http://127.0.0.1:8000/subapi/docs)。

你會看到子應用程式的自動 API 文件，只包含它自己的*路徑操作*，而且都在正確的子路徑前綴 `/subapi` 之下：

<img src="/img/tutorial/sub-applications/image02.png">

如果你嘗試在任一介面中互動，它們都會正常運作，因為瀏覽器能與各自的應用程式或子應用程式通訊。

### 技術細節：`root_path` { #technical-details-root-path }

// ====================
// Header specification
// --------------------
// Continuation messages contain two headers, as follows:
// https://docs.aws.amazon.com/AmazonS3/latest/API/images/s3select-frame-diagram-cont.png
//
// Payload specification
// ---------------------
// Continuation messages have no payload.
func genContinuationMessage() {
	buf := new(bytes.Buffer)

	buf.WriteByte(13)
	buf.WriteString(":message-type")

        .of(LONG_MANY_VALUES_SUM_OF_SQUARES_OF_DELTAS / LONG_MANY_VALUES_COUNT);
    assertThat(LARGE_LONG_VALUES_STATS.populationVariance())
        .isWithin(ALLOWED_ERROR * Long.MAX_VALUE * Long.MAX_VALUE)
        .of(LARGE_LONG_VALUES_POPULATION_VARIANCE);
  }

  public void testPopulationStandardDeviation() {

  }

  /**
   * Invoked immediately after sending a request body.
   *
   * This method is always invoked after [requestBodyStart].
   */
  open fun requestBodyEnd(
    call: Call,
    byteCount: Long,
  ) {
  }

  /**
   * Invoked when a request fails to be written.
   *
   * This method is invoked after [requestHeadersStart] or [requestBodyStart]. Note that request

      return columnKey;
    }

    @Override
    @ParametricNullness
    public V getValue() {
      return value;
    }

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

  abstract static class AbstractCell<
          R extends @Nullable Object, C extends @Nullable Object, V extends @Nullable Object>
      implements Cell<R, C, V> {

 * where a provided access token is invalid, expired, or malformed.
 */
public class InvalidAccessTokenException extends FessSystemException {

    /** Serial version UID for serialization */
    private static final long serialVersionUID = 1L;

    /** Type of the invalid access token */
    private final String type;

    /**
     * Creates a new InvalidAccessTokenException with the specified type and message.
     *