*          since casting to double is nondecreasing.
     *          Note that the right-hand inequality is no longer strict.
     * Math.sqrt(k * k) <= Math.sqrt(x) <= Math.sqrt((k + 1) * (k + 1))
     *          since Math.sqrt is monotonic.
     * (long) Math.sqrt(k * k) <= (long) Math.sqrt(x) <= (long) Math.sqrt((k + 1) * (k + 1))
     *          since casting to long is monotonic

   */
  private static int getAlphaIndex(char c) {
    // Fold upper-case ASCII to lower-case and make zero-indexed and unsigned (by casting to char).
    return (char) ((c | CASE_MASK) - 'a');
  }

  }

  /**
   * Returns the empty multimap.
   *
   * <p><b>Performance note:</b> the instance returned is a singleton.
   */
  // Casting is safe because the multimap will never hold any elements.
  @SuppressWarnings("unchecked")
  public static <K, V> ImmutableSetMultimap<K, V> of() {
    return (ImmutableSetMultimap<K, V>) EmptyImmutableSetMultimap.INSTANCE;

           "typed_config": {
            "@type": "type.googleapis.com/envoy.extensions.filters.network.tcp_proxy.v3.TcpProxy",
            "stat_prefix": "outbound|15021||ratings-istio-waypoint.ambient.svc.cluster.local",
            "cluster": "outbound|15021||ratings-istio-waypoint.ambient.svc.cluster.local"
           }
          }
         ]
        }
       ],
       "traffic_direction": "OUTBOUND",

  }

  /**
   * Returns the empty multimap.
   *
   * <p><b>Performance note:</b> the instance returned is a singleton.
   */
  // Casting is safe because the multimap will never hold any elements.
  @SuppressWarnings("unchecked")
  public static <K, V> ImmutableListMultimap<K, V> of() {
    return (ImmutableListMultimap<K, V>) EmptyImmutableListMultimap.INSTANCE;

Calling AssumeRoleWithWebIdentity does not require the use of MinIO root or IAM credentials. Therefore, you can distribute an application (for example, on mobile devices) that requests temporary security credentials without including MinIO long lasting credentials in the application. Instead, the identity of the caller is validated by using a JWT id_token from the web identity provider. The temporary security credentials returned by this API consists of an access key, a secret key, and a security...

   * Collections#emptyList}, and is preferable mainly for consistency and maintainability of your
   * code.
   *
   * <p><b>Performance note:</b> the instance returned is a singleton.
   */
  // Casting to any type is safe because the list will never hold any elements.
  @SuppressWarnings("unchecked")
  public static <E> ImmutableList<E> of() {
    return (ImmutableList<E>) EMPTY;
  }

  /**

    return emptyListIterator();
  }

  /**
   * Returns the empty iterator.
   *
   * <p>The {@link Iterable} equivalent of this method is {@link ImmutableSet#of()}.
   */
  // Casting to any type is safe since there are no actual elements.
  @SuppressWarnings("unchecked")
  static <T extends @Nullable Object> UnmodifiableListIterator<T> emptyListIterator() {
    return (UnmodifiableListIterator<T>) ArrayItr.EMPTY;

   */
  private static int getAlphaIndex(char c) {
    // Fold upper-case ASCII to lower-case and make zero-indexed and unsigned (by casting to char).
    return (char) ((c | CASE_MASK) - 'a');
  }

   * Collections#emptyList}, and is preferable mainly for consistency and maintainability of your
   * code.
   *
   * <p><b>Performance note:</b> the instance returned is a singleton.
   */
  // Casting to any type is safe because the list will never hold any elements.
  @SuppressWarnings("unchecked")
  public static <E> ImmutableList<E> of() {
    return (ImmutableList<E>) EMPTY;
  }

  /**