With `Query` and `Path` (and others you'll see later) you can declare number constraints.

Here, with `ge=1`, `item_id` will need to be an integer number "`g`reater than or `e`qual" to `1`.

{* ../../docs_src/path_params_numeric_validations/tutorial004_an_py39.py hl[10] *}

        throw new IllegalArgumentException("cannot store more than Integer.MAX_VALUE elements");
      } else if (minCapacity <= oldCapacity) {
        return oldCapacity;
      }
      // careful of overflow!
      int newCapacity = oldCapacity + (oldCapacity >> 1) + 1;
      if (newCapacity < minCapacity) {
        newCapacity = Integer.highestOneBit(minCapacity - 1) << 1;
      }
      if (newCapacity < 0) {

    if (minCapacity < 0) {
      throw new IllegalArgumentException("cannot store more than Integer.MAX_VALUE elements");
    } else if (minCapacity <= oldCapacity) {
      return oldCapacity;
    }
    // careful of overflow!
    int newCapacity = oldCapacity + (oldCapacity >> 1) + 1;
    if (newCapacity < minCapacity) {
      newCapacity = Integer.highestOneBit(minCapacity - 1) << 1;
    }
    if (newCapacity < 0) {

        }

        @Override
        public OptionalThing<String> getLastServerResponse() {
            return OptionalThing.of("Mock response");
        }

        @Override
        public OptionalThing<Integer> getLastReturnCode() {
            return OptionalThing.of(200);
        }

        @Override

    public String pageNumber;

    /**
     * The CRUD operation mode for this form.
     * Indicates whether this is a create, read, update, or delete operation.
     */
    @ValidateTypeFailure
    public Integer crudMode;

    /**
     * The unique identifier of the failure URL record being edited.
     * This is a required field for identifying which failure record to update.
     */
    @Required
    @Size(max = 1000)

    public Enums() {
      // elements aren't sorted, to better test SortedSet iteration ordering
      super(AnEnum.B, AnEnum.A, AnEnum.C, AnEnum.D, AnEnum.E);
    }
  }

  public static class Ints extends SampleElements<Integer> {
    public Ints() {
      // elements aren't sorted, to better test SortedSet iteration ordering
      super(1, 0, 2, 3, 4);
    }
  }

  public static <K extends @Nullable Object, V extends @Nullable Object>

  public boolean containsKey(Object key) {
    return map.containsKey(key);
  }

  /**
   * Returns the number of key-value mappings in this map. If the map contains more than {@code
   * Integer.MAX_VALUE} elements, returns {@code Integer.MAX_VALUE}.
   */
  public int size() {
    return map.size();
  }

  /** Returns {@code true} if this map contains no key-value mappings. */
  public boolean isEmpty() {

 * the <i>count</i> of that element (the terms "frequency" and "multiplicity" are equivalent, but
 * not used in this API). Since the count of an element is represented as an {@code int}, a multiset
 * may never contain more than {@link Integer#MAX_VALUE} occurrences of any one element.
 *
 * <p>{@code Multiset} refines the specifications of several methods from {@code Collection}. It

   *
   * <p>Usage example:
   *
   * {@snippet :
   * // Falling back to a zero counter in case an exception happens when processing the RPC to fetch
   * // counters.
   * ListenableFuture<Integer> faultTolerantFuture =
   *     fetchCounters().catching(FetchException.class, x -> 0, directExecutor());
   * }
   *
   * <p>When selecting an executor, note that {@code directExecutor} is dangerous in some cases. See

        assertEquals(40, response.dataOffset);
        assertEquals(0, response.dataDisplacement);
        assertEquals(1, response.setupCount);
    }

    // Helper method to write a 4-byte integer to a byte array.
    private void writeInt4(int val, byte[] dst, int dstIndex) {
        dst[dstIndex] = (byte) val;
        dst[dstIndex + 1] = (byte) (val >> 8);
        dst[dstIndex + 2] = (byte) (val >> 16);