};

  /**
   * Returns {@code n} choose {@code k}, also known as the binomial coefficient of {@code n} and
   * {@code k}, or {@link Long#MAX_VALUE} if the result does not fit in a {@code long}.
   *
   * @throws IllegalArgumentException if {@code n < 0}, {@code k < 0}, or {@code k > n}
   */
  public static long binomial(int n, int k) {
    checkNonNegative("n", n);

   * such index exists. Equivalent to {@code asList().lastIndexOf(target)}.
   */
  public int lastIndexOf(int target) {
    for (int i = end - 1; i >= start; i--) {
      if (array[i] == target) {
        return i - start;
      }
    }
    return -1;
  }

  /**

   * {@code allRequired} is sorted and that {@code allRequired[i]} are in the range [{@code from},
   * {@code to}] for all {@code i} in the range [{@code requiredFrom}, {@code requiredTo}]. The
   * value returned by this method is the {@code i} in that range such that {@code allRequired[i]}
   * is as close as possible to the center of the range [{@code from}, {@code to}]. Choosing the

  }

  /**
   * Returns {@code throwable}'s cause, cast to {@code expectedCauseType}.
   *
   * <p>Prefer this method instead of manually casting an exception's cause. For example, {@code
   * (IOException) e.getCause()} throws a {@link ClassCastException} that discards the original
   * exception {@code e} if the cause is not an {@link IOException}, but {@code

  }

  /**
   * Returns {@code throwable}'s cause, cast to {@code expectedCauseType}.
   *
   * <p>Prefer this method instead of manually casting an exception's cause. For example, {@code
   * (IOException) e.getCause()} throws a {@link ClassCastException} that discards the original
   * exception {@code e} if the cause is not an {@link IOException}, but {@code

 *
 * <p>The size of the data structure used by {@link ArrayBasedUnicodeEscaper} is proportional to the
 * highest valued code point that requires escaping. For example a replacement map containing the
 * single character '{@code \}{@code u1000}' will require approximately 16K of memory. If you need
 * to create multiple escaper instances that have the same character replacement mapping consider

   *
   * <p>Note that if {@code list} is a {@code List<String>}, then {@code ImmutableList.copyOf(list)}
   * returns an {@code ImmutableList<String>} containing each of the strings in {@code list}, while
   * {@code ImmutableList.of(list)} returns an {@code ImmutableList<List<String>>} containing one
   * element (the given list itself).
   *
   * <p>This method is safe to use even when {@code elements} is a synchronized or concurrent

    return -1;
  }

  /**
   * Returns {@code true} if {@code target} is present at any index in this array. Values are
   * compared as if by {@link Double#equals}. Equivalent to {@code asList().contains(target)}.
   */
  public boolean contains(double target) {
    return indexOf(target) >= 0;
  }

  /** Returns a new, mutable copy of this array's values, as a primitive {@code double[]}. */
  public double[] toArray() {

   * @throws InterruptedException if the current thread was interrupted during execution
   * @throws ExecutionException if {@code callable} throws a checked exception
   * @throws UncheckedExecutionException if {@code callable} throws a {@code RuntimeException}
   * @throws ExecutionError if {@code callable} throws an {@code Error}
   * @since 22.0
   */
  @CanIgnoreReturnValue
  @ParametricNullness

 * {@code equals} comparisons. Use caution if mutable objects are used as keys or values in a {@code
 * SetMultimap}.
 *
 * <p><b>Warning:</b> Do not modify either a key <i>or a value</i> of a {@code SetMultimap} in a way
 * that affects its {@link Object#equals} behavior. Undefined behavior and bugs will result.
 *
 * <p>See the Guava User Guide article on <a href=