*
   * <p><b>Note:</b> this method is now unnecessary and should be treated as deprecated; use {@link
   * Math#multiplyExact(long, long)} instead. Note that if both arguments are {@code int} values,
   * writing {@code Math.multiplyExact(a, b)} will call the {@link Math#multiplyExact(int, int)}
   * overload, not {@link Math#multiplyExact(long, long)}. Also note that multiplying two {@code

   * Math#multiplyExact(int, int)} instead.
   *
   * @throws ArithmeticException if {@code a * b} overflows in signed {@code int} arithmetic
   */
  @InlineMe(replacement = "Math.multiplyExact(a, b)")
  public static int checkedMultiply(int a, int b) {
    return Math.multiplyExact(a, b);
  }

  /**

    this.k = k;
    checkArgument(k >= 0, "k (%s) must be >= 0", k);
    checkArgument(k <= Integer.MAX_VALUE / 2, "k (%s) must be <= Integer.MAX_VALUE / 2", k);
    this.buffer = (T[]) new Object[Math.multiplyExact(k, 2)];
    this.bufferSize = 0;
    this.threshold = null;
  }

  /**
   * Adds {@code elem} as a candidate for the top {@code k} elements. This operation takes amortized
   * O(1) time.
   */

    this.k = k;
    checkArgument(k >= 0, "k (%s) must be >= 0", k);
    checkArgument(k <= Integer.MAX_VALUE / 2, "k (%s) must be <= Integer.MAX_VALUE / 2", k);
    this.buffer = (T[]) new Object[Math.multiplyExact(k, 2)];
    this.bufferSize = 0;
    this.threshold = null;
  }

  /**
   * Adds {@code elem} as a candidate for the top {@code k} elements. This operation takes amortized
   * O(1) time.
   */

  /** Returns ~2x the old capacity if small; ~1.5x otherwise. */
  private int calculateNewCapacity() {
    int oldCapacity = queue.length;
    int newCapacity =
        (oldCapacity < 64) ? (oldCapacity + 1) * 2 : Math.multiplyExact(oldCapacity / 2, 3);
    return capAtMaximumSize(newCapacity, maximumSize);
  }

  /** There's no reason for the queueSize to ever be more than maxSize + 1 */

  /** Returns ~2x the old capacity if small; ~1.5x otherwise. */
  private int calculateNewCapacity() {
    int oldCapacity = queue.length;
    int newCapacity =
        (oldCapacity < 64) ? (oldCapacity + 1) * 2 : Math.multiplyExact(oldCapacity / 2, 3);
    return capAtMaximumSize(newCapacity, maximumSize);
  }

  /** There's no reason for the queueSize to ever be more than maxSize + 1 */