* and the arithmetic mean is always higher than the geometric mean.
     *
     * b) this iteration converges to floor(sqrt(x)). In fact, the number of correct digits doubles
     * with each iteration, so this algorithm takes O(log(digits)) iterations.
     *
     * We start out with a double-precision approximation, which may be higher or lower than the

    if (tag < 31) {
      val byte0 = tagClass or constructedBit or tag.toInt()
      sink.writeByte(byte0)
    } else {
      val byte0 = tagClass or constructedBit or 0b0001_1111
      sink.writeByte(byte0)
      writeVariableLengthLong(tag)
    }

    // Write the length. This takes 1 byte if length is less than 128.
    val length = content.size
    if (length < 128) {

 * server. Rather than represent each with it's own <code>Exception</code>
 * class, this class represents all of them. For many of the popular
 * error codes, constants and text messages like "The device is not ready"
 * are provided.
 * <p>
 * The jCIFS client maps DOS error codes to NTSTATUS codes. This means that
 * the user may recieve a different error from a legacy server than that of

  }

  /**
   * This method returns a {@code ImmutableSortedMap}, consisting of the entries whose keys are less
   * than {@code toKey}.
   *
   * <p>The {@link SortedMap#headMap} documentation states that a submap of a submap throws an
   * {@link IllegalArgumentException} if passed a {@code toKey} greater than an earlier {@code
   * toKey}. However, this method doesn't throw an exception in that situation, but instead keeps

                        IllegalArgumentException.class),

                // Name length larger than remaining bytes - use method reference
                Arguments.of("name length exceeds remaining", (java.util.function.Supplier<byte[]>) () -> {
                    byte[] buf = buildBuffer(der, nameBytes);
                    // Corrupt NAME_LEN to be larger than actual by +5
                    int i = 2 + 2 + der.length; // index where NAME_LEN starts

 * @since 11.0
 */
@GwtCompatible
public final class IntMath {
  @VisibleForTesting static final int MAX_SIGNED_POWER_OF_TWO = 1 << (Integer.SIZE - 2);

  /**
   * Returns the smallest power of two greater than or equal to {@code x}. This is equivalent to
   * {@code checkedPow(2, log2(x, CEILING))}.
   *
   * @throws IllegalArgumentException if {@code x <= 0}

class Item(BaseModel):
    name: str
    description: str | None = Field(
        default=None, title="The description of the item", max_length=300
    )
    price: float = Field(gt=0, description="The price must be greater than zero")
    tax: float | None = None


@app.put("/items/{item_id}")
async def update_item(item_id: int, item: Item = Body(embed=True)):
    results = {"item_id": item_id, "item": item}

    void testConstructorWithLongKey() {
        // Test constructor with a key longer than BLOCK_LENGTH (64 bytes)
        // HMACT64 truncates keys at 64 bytes
        HMACT64 hmac = new HMACT64(LONG_TEST_KEY);
        assertNotNull(hmac);
    }

    @Test
    void testConstructorWithShortKey() {
        // Test constructor with a key shorter than BLOCK_LENGTH (64 bytes)
        HMACT64 hmac = new HMACT64(SHORT_TEST_KEY);

	}
}

func errObjectSerializationConflict(err error) *s3Error {
	return &s3Error{
		code:       "ObjectSerializationConflict",
		message:    "InputSerialization specifies more than one format (CSV, JSON, or Parquet), or OutputSerialization specifies more than one format (CSV or JSON). InputSerialization and OutputSerialization can only specify one format each.",
		statusCode: 400,
		cause:      err,
	}
}

    smallElementAggregateFunction: (List<T>) -> R,
    expectedBucketNumber: Int,
    maxNumberInBucket: Int,
    noElementSplitFunction: (Int) -> List<R> = { throw IllegalArgumentException("More buckets than things to split") },
    canRunTogether: (T, T) -> Boolean = { _, _ -> true },
): List<R> {
    if (list.isEmpty()) {
        return noElementSplitFunction(expectedBucketNumber)
    }
    if (expectedBucketNumber == 1) {