}

  @GwtIncompatible // super.subListUnchecked does not exist; inherited subList is valid if slow
  /*
   * TODO(cpovirk): if we start to override indexOf/lastIndexOf under GWT, we'll want some way to
   * override subList to return an ImmutableSortedAsList for better performance. Right now, I'm not
   * sure there's any performance hit from our failure to override subListUnchecked under GWT
   */
  @Override

When you mount a sub-application as described above, FastAPI will take care of communicating the mount path for the sub-application using a mechanism from the ASGI specification called a `root_path`.

That way, the sub-application will know to use that path prefix for the docs UI.

# Path Parameters and Numeric Validations

In the same way that you can declare more validations and metadata for query parameters with `Query`, you can declare the same type of validations and metadata for path parameters with `Path`.

## Import Path

First, import `Path` from `fastapi`, and import `Annotated`:

//// tab | Python 3.10+

```Python hl_lines="1  3"
{!> ../../docs_src/path_params_numeric_validations/tutorial001_an_py310.py!}
```

   * @param length the number of bytes from the input to read
   * @return a long of a concatenated 8 bytes
   */
  static long load64Safely(byte[] input, int offset, int length) {
    long result = 0;
    // Due to the way we shift, we can stop iterating once we've run out of data, the rest
    // of the result already being filled with zeros.

    // This loop is critical to performance, so please check HashBenchmark if altering it.

            exportedPackages.addAll(extension.getExportedPackages());
        }
        return exportedPackages;
    }

    /**
     * Note: overriding this method should be avoided. Preferred way to replace Maven components is the "normal" way
     * where the components are on index (are annotated with JSR330 annotations and Sisu index is created) and, they
     * have priorities set.
     */

// The print built-in function formats its arguments in an
// implementation-specific way and writes the result to standard error.
// Print is useful for bootstrapping and debugging; it is not guaranteed
// to stay in the language.
func print(args ...Type)

// The println built-in function formats its arguments in an
// implementation-specific way and writes the result to standard error.

that developer, and the exec wrapper will fail to install the new app. To avoid that,
install another app with the same developer identity but with a different bundle id.
That way, the permission to install apps is held on to while the primary app is

	// If the files don't end in full lines, the concatenation goes awry.
	if strings.Contains(s, "\r") {
		log.Printf("%s: contains CRLFs", filename)
		exitCode = 1
	}
	if filepath.Base(filename) == "go1.4.txt" {
		// No use for blank lines in api files, except go1.4.txt
		// used them in a reasonable way and we should let it be.
	} else if strings.HasPrefix(s, "\n") || strings.Contains(s, "\n\n") {

      - name: standalone erasure
        run: |
          ${GITHUB_WORKSPACE}/.github/workflows/run-mint.sh "erasure" "minio" "minio123" "${{ steps.vars.outputs.sha_short }}"

      # FIXME: renable this back when we have a valid way to add deadlines for PUT()s (internode CreateFile)
      # - name: resiliency
      #   run: |
      #     ${GITHUB_WORKSPACE}/.github/workflows/run-mint.sh "resiliency" "minio" "minio123" "${{ steps.vars.outputs.sha_short }}"

import org.checkerframework.checker.nullness.qual.Nullable;

/** An ordering that uses the natural order of the values. */
@GwtCompatible(serializable = true)
@SuppressWarnings({"unchecked", "rawtypes"}) // TODO(kevinb): the right way to explain this??
@ElementTypesAreNonnullByDefault
final class NaturalOrdering extends Ordering<Comparable<?>> implements Serializable {
  static final NaturalOrdering INSTANCE = new NaturalOrdering();