return repositories;
            }

            @Override
            public boolean equals(Object o) {
                return o instanceof DefaultVersionResolverRequest that
                        && Objects.equals(artifactCoordinates, that.artifactCoordinates)
                        && Objects.equals(repositories, that.repositories);
            }

            @Override
            public int hashCode() {

                return repositories;
            }

            @Override
            public boolean equals(Object o) {
                return o instanceof DefaultVersionResolverRequest that
                        && Objects.equals(artifactCoordinates, that.artifactCoordinates)
                        && Objects.equals(repositories, that.repositories);
            }

            @Override
            public int hashCode() {

      // filter out equals/hashCode/toString
      if (method.getName().equals("equals")
          && method.getParameterTypes().length == 1
          && method.getParameterTypes()[0] == Object.class) {
        continue;
      }
      if (method.getName().equals("hashCode") && method.getParameterTypes().length == 0) {
        continue;
      }

        /* farthest is runtime and nearest has lower priority, change to runtime */
        if (Artifact.SCOPE_RUNTIME.equals(farthestArtifact.getScope())
                && (Artifact.SCOPE_TEST.equals(nearestArtifact.getScope())
                        || Artifact.SCOPE_PROVIDED.equals(nearestArtifact.getScope()))) {
            updateScope = true;
        }

    return delegate().elementSet();
  }

  @Override
  public Set<Entry<E>> entrySet() {
    return delegate().entrySet();
  }

  @Override
  public boolean equals(@Nullable Object object) {
    return object == this || delegate().equals(object);
  }

  @Override
  public int hashCode() {
    return delegate().hashCode();
  }

  @CanIgnoreReturnValue
  @Override

## Validaciones numéricas: mayor o igual

Con `Query` y `Path` (y otros que verás más adelante) puedes declarar restricciones numéricas.

Aquí, con `ge=1`, `item_id` necesitará ser un número entero "`g`reater than or `e`qual" a `1`.

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

## Validaciones numéricas: mayor que y menor o igual

Lo mismo aplica para:

    return comparator.compare(a, b);
  }

  @Override
  public boolean equals(@Nullable Object object) {
    if (object == this) {
      return true;
    }
    if (object instanceof ComparatorOrdering) {
      ComparatorOrdering<?> that = (ComparatorOrdering<?>) object;
      return this.comparator.equals(that.comparator);
    }
    return false;
  }

  @Override
  public int hashCode() {

    }
  }

  static class SlowElement extends Element {
    SlowElement(int hash) {
      super(hash);
    }

    @Override
    public boolean equals(@Nullable Object obj) {
      return slowItDown() != 1 && super.equals(obj);
    }

    @Override
    public int hashCode() {
      return slowItDown() + hash;
    }

    @Override
    public int compareTo(Element e) {

            return parent.retainAll(c);
        }

        public void clear() {
            parent.clear();
        }

        public boolean equals(final Object o) {
            return parent.equals(o);
        }

        public int hashCode() {
            return parent.hashCode();
        }

        public E get(final int index) {
            return parent.get(index);

    setDefault(Double.class, 1D);
    setDefault(Class.class, Class.class);
  }

  /**
   * Sets the default value for {@code type}. The default value isn't used in testing {@link
   * Object#equals} because more than one sample instances are needed for testing inequality. To set
   * distinct values for equality testing, use {@link #setDistinctValues} instead.
   */
  @CanIgnoreReturnValue