By having the type as `int | None`, SQLModel will know that this column should be an `INTEGER` in the SQL database and that it should be `NULLABLE`.

     * @return HTML response for the path mapping list page
     */
    @Execute
    @Secured({ ROLE, ROLE + VIEW })
    public HtmlResponse list(final OptionalThing<Integer> pageNumber, final SearchForm form) {
        pageNumber.ifPresent(num -> {
            pathMapPager.setCurrentPageNumber(pageNumber.get());
        }).orElse(() -> {
            pathMapPager.setCurrentPageNumber(0);

   * final} multimaps ("constant multimaps"). Example:
   *
   * {@snippet :
   * static final Multimap<String, Integer> STRING_TO_INTEGER_MULTIMAP =
   *     new ImmutableSetMultimap.Builder<String, Integer>()
   *         .put("one", 1)
   *         .putAll("several", 1, 2, 3)
   *         .putAll("many", 1, 2, 3, 4, 5)
   *         .build();
   * }
   *

        try {
            Field field = DataIndexHelper.class.getDeclaredField("crawlerPriority");
            field.setAccessible(true);
            int actualPriority = (Integer) field.get(dataIndexHelper);
            assertEquals(priority, actualPriority);
        } catch (Exception e) {
            fail("Failed to verify crawlerPriority: " + e.getMessage());
        }
    }

    assertEquals("5 + 6 = 11", Strings.lenientFormat("%s + %s = %s", 5, 6, 11));
    assertEquals(
        "5 + 6 = 11", Strings.lenientFormat("%s + %s = %s", (Object[]) new Integer[] {5, 6, 11}));
    assertEquals("null [null, null]", Strings.lenientFormat("%s", null, null, null));
    assertEquals("null [5, 6]", Strings.lenientFormat(null, 5, 6));

  @J2ktIncompatible
  @GwtIncompatible // lazyStackTraceIsLazy()
  public void testLazyStackTraceWorksInProd() {
    // TODO(b/64442212): Remove this guard once lazyStackTrace() works in Java 9+.
    Integer javaVersion = Ints.tryParse(JAVA_SPECIFICATION_VERSION.value());
    if (javaVersion != null && javaVersion >= 9) {
      return;
    }

        String recordTypeString;
        final String recordClassString;

        opCodeString = switch (opCode) {
        case QUERY -> "QUERY";
        case WACK -> "WACK";
        default -> Integer.toString(opCode);
        };
        resultCodeString = switch (resultCode) {
        case FMT_ERR -> "FMT_ERR";
        case SRV_ERR -> "SRV_ERR";
        case IMP_ERR -> "IMP_ERR";

    if (safeMax < safeMin) {
      // If the safe range is empty, set the range limits to opposite extremes
      // to ensure the first test of either value will fail.
      safeMax = -1;
      safeMin = Integer.MAX_VALUE;
    }
    this.safeMin = safeMin;
    this.safeMax = safeMax;

    // This is a bit of a hack but lets us do quicker per-character checks in

        String opCodeString, resultCodeString, questionTypeString, recordTypeString;

        opCodeString = switch (this.opCode) {
        case QUERY -> "QUERY";
        case WACK -> "WACK";
        default -> Integer.toString(this.opCode);
        };
        resultCodeString = switch (this.resultCode) {
        case FMT_ERR -> "FMT_ERR";
        case SRV_ERR -> "SRV_ERR";
        case IMP_ERR -> "IMP_ERR";

        @Test
        @DisplayName("Should encode maximum values correctly")
        void testEncodeMaxValues() {
            // Given
            long maxLong = Long.MAX_VALUE;
            int maxInt = Integer.MAX_VALUE;
            SrvCopychunk chunk = new SrvCopychunk(maxLong, maxLong, maxInt);

            // When
            int bytesWritten = chunk.encode(buffer, startIndex);

            // Then