* KIND, either express or implied.  See the License for the
 * specific language governing permissions and limitations
 * under the License.
 */
package org.apache.maven.graph;

import java.io.File;
import java.util.ArrayList;
import java.util.HashSet;
import java.util.LinkedHashSet;
import java.util.List;
import java.util.Optional;
import java.util.Set;

 * See the License for the specific language governing permissions and
 * limitations under the License.
 */

package com.google.common.graph;

import static com.google.common.graph.GraphConstants.ENDPOINTS_MISMATCH;
import static com.google.common.truth.Truth.assertThat;
import static com.google.common.truth.TruthJUnit.assume;
import static org.junit.Assert.assertThrows;

 *
 * <p>Usage example:
 *
 * {@snippet :
 * LoadingCache<Key, Graph> graphs = CacheBuilder.newBuilder()
 *     .maximumSize(10000)
 *     .expireAfterWrite(Duration.ofMinutes(10))
 *     .removalListener(MY_LISTENER)
 *     .build(
 *         new CacheLoader<Key, Graph>() {
 *           public Graph load(Key key) throws AnyException {
 *             return createExpensiveGraph(key);
 *           }

import org.eclipse.aether.artifact.DefaultArtifact;
import org.eclipse.aether.collection.CollectRequest;
import org.eclipse.aether.collection.CollectResult;
import org.eclipse.aether.graph.Dependency;
import org.eclipse.aether.graph.DependencyNode;
import org.eclipse.aether.resolution.ArtifactDescriptorRequest;
import org.eclipse.aether.resolution.ArtifactDescriptorResult;
import org.eclipse.aether.resolution.ArtifactRequest;

### Pydantic v1 y v2 en la misma app { #pydantic-v1-and-v2-on-the-same-app }

**No está soportado** por Pydantic tener un modelo de Pydantic v2 con sus propios campos definidos como modelos de Pydantic v1 o viceversa.

```mermaid
graph TB
    subgraph "❌ Not Supported"
        direction TB
        subgraph V2["Pydantic v2 Model"]
            V1Field["Pydantic v1 Model"]
        end
        subgraph V1["Pydantic v1 Model"]

 * under the License.
 */
package org.apache.maven.artifact.resolver;

import org.apache.maven.artifact.Artifact;

/**
 * Indicates a cycle in the dependency graph.
 *
 */
public class CyclicDependencyException extends ArtifactResolutionException {
    private Artifact artifact;

    public CyclicDependencyException(String message, Artifact artifact) {

 * parameter specified by `input_index`.
 *
 * I.e. if y = <output of the forward model> and w = inputs[input_index],
 * this will calculate dy/dw numerically.
 *
 * `use_function` indicates whether to use graph mode(true) or eager(false).
 *
 * `numerical_grad` is the pointer to the AbstractTensorHandle* which will
 * hold the numerical gradient data at the end of the function.
 */

      String licenseType = providers.systemProperty("run.license_type").orElse("basic").forUseAtConfigurationTime().get()
      if (licenseType == 'trial') {
        setting 'xpack.ml.enabled', 'true'
        setting 'xpack.graph.enabled', 'true'
        setting 'xpack.watcher.enabled', 'true'
        setting 'xpack.license.self_generated.type', 'trial'
      } else if (licenseType != 'basic') {

    /**
     * Wrap the specified root object, allowing the specified expression prefix.
     * @param prefix the prefix.
     * @param root the root of the graph.
     */
    public PrefixedObjectValueSource(String prefix, Object root) {
        super(new PrefixedValueSourceWrapper(new ObjectBasedValueSource(root), prefix));
    }

    /**

Es wird von Pydantic **nicht unterstützt**, dass ein Pydantic‑v2‑Modell Felder hat, die als Pydantic‑v1‑Modelle definiert sind, und umgekehrt.

```mermaid
graph TB
    subgraph "❌ Nicht unterstützt"
        direction TB
        subgraph V2["Pydantic-v2-Modell"]
            V1Field["Pydantic-v1-Modell"]
        end
        subgraph V1["Pydantic-v1-Modell"]