case 2:
        return nums.get(start).multiply(nums.get(start + 1));
      case 3:
        return nums.get(start).multiply(nums.get(start + 1)).multiply(nums.get(start + 2));
      default:
        // Otherwise, split the list in half and recursively do this.
        int m = (end + start) >>> 1;
        return listProduct(nums, start, m).multiply(listProduct(nums, m, end));
    }
  }

  /**

  private static BigInteger oldSlowFactorial(int n) {
    if (n <= 20) {
      return BigInteger.valueOf(LongMath.factorial(n));
    } else {
      int k = 20;
      return BigInteger.valueOf(LongMath.factorial(k)).multiply(oldSlowFactorial(k, n));
    }
  }

  /** Returns the product of {@code n1} exclusive through {@code n2} inclusive. */
  @SuppressWarnings("UseCorrectAssertInTests") // TODO(b/345814817): Remove or convert assertion.

	}
	if skipOffset < 0 {
		panic("Negative rotations are not allowed")
	}

	skipOffset %= int64(len(alphabets))
	const multiply = 100
	as := bytes.Repeat(alphabets, multiply)
	b := as[skipOffset : skipOffset+int64(len(alphabets)*(multiply-1))]
	return &DummyDataGen{
		length: totalLength,
		b:      b,
	}
}

func (d *DummyDataGen) Read(b []byte) (n int, err error) {
	k := len(b)

  private static BigInteger oldSlowFactorial(int n) {
    if (n <= 20) {
      return BigInteger.valueOf(LongMath.factorial(n));
    } else {
      int k = 20;
      return BigInteger.valueOf(LongMath.factorial(k)).multiply(oldSlowFactorial(k, n));
    }
  }

  /** Returns the product of {@code n1} exclusive through {@code n2} inclusive. */
  @SuppressWarnings("UseCorrectAssertInTests") // TODO(b/345814817): Remove or convert assertion.

					}
					atomic.AddInt64(&ops, int64(n))
					atomic.AddInt64(&lat, latency)
				})
				spent := time.Since(t)
				if spent > 0 && n > 0 {
					// Since we are benchmarking n parallel servers we need to multiply by n.
					// This will give an estimate of the total ops/s.
					latency := float64(atomic.LoadInt64(&lat)) / float64(time.Millisecond)
					b.ReportMetric(float64(n)*float64(ops)/spent.Seconds(), "vops/s")

        try {
          BigInteger quotient = BigIntegerMath.divide(p, q, UNNECESSARY);
          BigInteger undone = quotient.multiply(q);
          if (!p.equals(undone)) {
            failFormat("expected %s.multiply(%s) = %s; got %s", quotient, q, p, undone);
          }
          assertTrue(dividesEvenly);
        } catch (ArithmeticException e) {
          assertFalse(dividesEvenly);

  static final double LARGE_INTEGER_VALUES_MEAN =
      BigInteger.valueOf(Integer.MAX_VALUE)
          .multiply(BigInteger.valueOf(3L))
          .divide(BigInteger.valueOf(4L))
          .doubleValue();
  static final double LARGE_INTEGER_VALUES_POPULATION_VARIANCE =
      BigInteger.valueOf(Integer.MAX_VALUE)
          .multiply(BigInteger.valueOf(Integer.MAX_VALUE))
          .divide(BigInteger.valueOf(16L))
          .doubleValue();

      // Math.sin is very slow for values outside 4*pi
      // Need to take absolute value to avoid inverting the value.
      for (double i = 0; i < 100; i += 20) {
        v =
            v.add(
                v.multiply(
                    BigInteger.valueOf(((Double) Math.abs(Math.sin(i) * 10.0)).longValue())));
      }
      return v;
    }
  }

  public enum ComparatorType {
    CHEAP {
      @Override

	VFRDIVVF	F10, V2, V0, V3			// d7512584

	// 31.13.5: Vector Widening Floating-Point Multiply
	VFWMULVV	V1, V2, V3			// d79120e2
	VFWMULVV	V1, V2, V0, V3			// d79120e0
	VFWMULVF	F10, V2, V3			// d75125e2
	VFWMULVF	F10, V2, V0, V3			// d75125e0

	// 31.13.6: Vector Single-Width Floating-Point Fused Multiply-Add Instructions
	VFMACCVV	V2, V1, V3			// d79120b2
	VFMACCVV	V2, V1, V0, V3			// d79120b0

      for (long b : TEST_LONGS) {
        UnsignedLong aUnsigned = UnsignedLong.fromLongBits(a);
        UnsignedLong bUnsigned = UnsignedLong.fromLongBits(b);
        long expected =
            aUnsigned.bigIntegerValue().multiply(bUnsigned.bigIntegerValue()).longValue();
        UnsignedLong unsignedMul = aUnsigned.times(bUnsigned);
        assertThat(unsignedMul.longValue()).isEqualTo(expected);
      }
    }
  }