BigDecimal qDec = new BigDecimal(q);
    return pDec.divide(qDec, 0, mode).toBigIntegerExact();
  }

  /**
   * Returns {@code n!}, that is, the product of the first {@code n} positive integers, or {@code 1}
   * if {@code n == 0}.
   *
   * <p><b>Warning:</b> the result takes <i>O(n log n)</i> space, so use cautiously.
   *

 * <p>{@code ValueGraph}, as a subtype of {@code Graph}, explicitly does not support parallel edges,
 * and forbids implementations or extensions with parallel edges. If you need parallel edges, use
 * {@link Network}. (You can use a positive {@code Integer} edge value as a loose representation of
 * edge multiplicity, but the {@code *degree()} and mutation methods will not reflect your
 * interpretation of the edge value as its multiplicity.)
 *

        @Test
        @DisplayName("Should validate tree ID correctly")
        void testIsValidTid() {
            // Test valid TID
            response.setTreeId(100);
            assertTrue(response.isValidTid(), "Positive tree ID should be valid");

            // Test invalid TID
            response.setTreeId(-1);
            assertFalse(response.isValidTid(), "Tree ID -1 should be invalid");
        }

        @Test

# Remove rule from siteb
./mc ilm rule remove --id "${id}" siteb/bucket
sleep 30s # allow to replicate

# sitea should still contain the transition portion of rule
transitionRuleDays=$(./mc ilm rule list sitea/bucket --json | jq '.config.Rules[0].Transition.Days')
expirationRuleDet=$(./mc ilm rule list sitea/bucket --json | jq '.config.Rules[0].Expiration')

 * "https://github.com/google/guava/wiki/NewCollectionTypesExplained#multimap">{@code Multimap}</a>.
 *
 * @author Mike Bostock
 * @since 2.0
 */
@GwtCompatible
@SuppressWarnings("WrongCommentType") // false positive
public class LinkedListMultimap<K extends @Nullable Object, V extends @Nullable Object>
    extends AbstractMultimap<K, V> implements ListMultimap<K, V>, Serializable {
  /*

        // Promote the int value (rather than using intValue() on the expected value) to avoid
        // any risk of truncation which could lead to a false positive.
        assertEquals(BigIntegerMath.sqrt(valueOf(x), mode), valueOf(IntMath.sqrt(x, mode)));
      }
    }
  }

  /* Relies on the correctness of sqrt(int, FLOOR). */
  @GwtIncompatible // sqrt

  @Test fun `boolean`() {
    val bytes = "0101FF".decodeHex()
    assertThat(Adapters.BOOLEAN.fromDer(bytes)).isEqualTo(true)
    assertThat(Adapters.BOOLEAN.toDer(true)).isEqualTo(bytes)
  }

  @Test fun `positive integer`() {
    val bytes = "020132".decodeHex()
    assertThat(Adapters.INTEGER_AS_LONG.toDer(50L)).isEqualTo(bytes)
    assertThat(Adapters.INTEGER_AS_LONG.fromDer(bytes)).isEqualTo(50L)
  }

                if (coreMultiplier <= 0.0f) {
                    throw new IllegalArgumentException("Invalid threads core multiplier value: '" + threadConfiguration
                            + "'. Value must be positive.");
                }

                int procs = Runtime.getRuntime().availableProcessors();
                int threads = (int) (coreMultiplier * procs);
                return threads == 0 ? 1 : threads;

      origin: String,
      protocol: ByteString,
      host: String,
      port: Int,
      maxAge: Long,
    ) {
      // TODO: register alternate service.
    }
  }

  /** Even, positive numbered streams are pushed streams in HTTP/2. */
  internal fun pushedStream(streamId: Int): Boolean = streamId != 0 && streamId and 1 == 0

  internal fun pushRequestLater(
    streamId: Int,

 *     first access and will be created if it does not exist.
 * @param directory a writable directory.
 * @param valueCount the number of values per cache entry. Must be positive.
 * @param maxSize the maximum number of bytes this cache should use to store.
 */
class DiskLruCache(
  fileSystem: FileSystem,
  /** Returns the directory where this cache stores its data. */
  val directory: Path,