return limit;
            }
            b *= b;
          }
      }
    }
  }

  @VisibleForTesting static final int FLOOR_SQRT_MAX_INT = 46340;

  /**
   * Returns {@code n!}, that is, the product of the first {@code n} positive integers, {@code 1} if
   * {@code n == 0}, or {@link Integer#MAX_VALUE} if the result does not fit in a {@code int}.
   *