return Long.MAX_VALUE;
      }
      if (end < start && result > 0) { // underflow
        return Long.MIN_VALUE;
      }
      return result;
    }

    @Override
    public Long minValue() {
      return Long.MIN_VALUE;
    }

    @Override
    public Long maxValue() {
      return Long.MAX_VALUE;
    }

    private Object readResolve() {

            ContiguousSet.closedOpen(1, 1),
            ContiguousSet.closedOpen(Integer.MIN_VALUE, Integer.MIN_VALUE),
            ImmutableSortedSet.of(),
            ImmutableSet.of())
        .testEquals();
    // not testing hashCode for these because it takes forever to compute
    assertEquals(
        ContiguousSet.closed(Integer.MIN_VALUE, Integer.MAX_VALUE),
        ContiguousSet.create(Range.<Integer>all(), integers()));

      return domain.minValue();
    }

    @Override
    Comparable<?> greatestValueBelow(DiscreteDomain<Comparable<?>> domain) {
      throw new AssertionError();
    }

    @Override
    Cut<Comparable<?>> canonical(DiscreteDomain<Comparable<?>> domain) {
      try {
        return Cut.belowValue(domain.minValue());
      } catch (NoSuchElementException e) {

      return domain.minValue();
    }

    @Override
    Comparable<?> greatestValueBelow(DiscreteDomain<Comparable<?>> domain) {
      throw new AssertionError();
    }

    @Override
    Cut<Comparable<?>> canonical(DiscreteDomain<Comparable<?>> domain) {
      try {
        return Cut.belowValue(domain.minValue());
      } catch (NoSuchElementException e) {

            ContiguousSet.closedOpen(1, 1),
            ContiguousSet.closedOpen(Integer.MIN_VALUE, Integer.MIN_VALUE),
            ImmutableSortedSet.of(),
            ImmutableSet.of())
        .testEquals();
    // not testing hashCode for these because it takes forever to compute
    assertEquals(
        ContiguousSet.closed(Integer.MIN_VALUE, Integer.MAX_VALUE),
        ContiguousSet.create(Range.<Integer>all(), integers()));

    log_id bigint NOT NULL
);

ALTER TABLE public.log_usage ALTER COLUMN log_id ADD GENERATED BY DEFAULT AS IDENTITY (
    SEQUENCE NAME public.log_usage_log_id_seq
    START WITH 1
    INCREMENT BY 1
    NO MINVALUE
    NO MAXVALUE
    CACHE 1
);
	`).Error; err != nil {
		t.Fatalf("failed to create table, got error %v", err)
	}

	columns, err := DB.Migrator().ColumnTypes("log_usage")
	if err != nil {

    log_id bigint NOT NULL
);

ALTER TABLE public.log_usage ALTER COLUMN log_id ADD GENERATED BY DEFAULT AS IDENTITY (
    SEQUENCE NAME public.log_usage_log_id_seq
    START WITH 1
    INCREMENT BY 1
    NO MINVALUE
    NO MAXVALUE
    CACHE 1
);
	`).Error; err != nil {
		t.Fatalf("failed to create table, got error %v", err)
	}

	columns, err := DB.Migrator().ColumnTypes("log_usage")
	if err != nil {

    checkNotNull(range);
    checkNotNull(domain);
    Range<C> effectiveRange = range;
    try {
      if (!range.hasLowerBound()) {
        effectiveRange = effectiveRange.intersection(Range.atLeast(domain.minValue()));
      }
      if (!range.hasUpperBound()) {
        effectiveRange = effectiveRange.intersection(Range.atMost(domain.maxValue()));
      }
    } catch (NoSuchElementException e) {

    checkNotNull(range);
    checkNotNull(domain);
    Range<C> effectiveRange = range;
    try {
      if (!range.hasLowerBound()) {
        effectiveRange = effectiveRange.intersection(Range.atLeast(domain.minValue()));
      }
      if (!range.hasUpperBound()) {
        effectiveRange = effectiveRange.intersection(Range.atMost(domain.maxValue()));
      }
    } catch (NoSuchElementException e) {

      replica.put(newValue, new AtomicInteger(1));
    }
  }

  private static void removeMinFromReplica(
      SortedMap<Integer, AtomicInteger> replica, int minValue) {
    Integer replicatedMinValue = replica.firstKey();
    assertEquals(replicatedMinValue, (Integer) minValue);
    removeFromReplica(replica, replicatedMinValue);
  }

  private static void removeMaxFromReplica(