But that will only affect that `APIRouter` in our app, not in any other code that uses it.

So, for example, other projects could use the same `APIRouter` with a different authentication method.

### Include a *path operation*

We can also add *path operations* directly to the `FastAPI` app.

Here we do it... just to show that we can 🤷:

```Python hl_lines="21-23" title="app/main.py"
{!../../docs_src/bigger_applications/app/main.py!}

     * field should be used for calculating that. This would likely be zero
     * but an implemantation that encorporates the transport header(for
     * efficiency) might use a different initial bufferIndex. For example,
     * to eliminate copying data when writing NbtSession data one might
     * manage that 4 byte header specifically and therefore the initial

      // even for non-root files.
      return;
    }

    // Check if the parent is a directory first because createDirectories will fail if the parent
    // exists and is a symlink to a directory... we'd like for this to succeed in that case.
    // (I'm kind of surprised that createDirectories would fail in that case; doesn't seem like
    // what you'd want to happen.)

      // even for non-root files.
      return;
    }

    // Check if the parent is a directory first because createDirectories will fail if the parent
    // exists and is a symlink to a directory... we'd like for this to succeed in that case.
    // (I'm kind of surprised that createDirectories would fail in that case; doesn't seem like
    // what you'd want to happen.)

  private static final ImmutableRangeSet<Comparable<?>> ALL =
      new ImmutableRangeSet<>(ImmutableList.of(Range.<Comparable<?>>all()));

  /**
   * Returns a {@code Collector} that accumulates the input elements into a new {@code
   * ImmutableRangeSet}. As in {@link Builder}, overlapping ranges are not permitted and adjacent
   * ranges will be merged.
   *
   * @since 23.1
   */

We also verify that we have a user with that username, and if not, we raise that same exception we created before.

{* ../../docs_src/security/tutorial005_an_py310.py hl[47,117:128] *}

## Verify the `scopes`

We now verify that all the scopes required, by this dependency and all the dependants (including *path operations*), are included in the scopes provided in the token received, otherwise raise an `HTTPException`.

import javax.annotation.CheckForNull;
import org.checkerframework.checker.nullness.qual.Nullable;

/**
 * Static convenience methods that serve the same purpose as Java language <a
 * href="https://docs.oracle.com/javase/8/docs/technotes/guides/language/assert.html">assertions</a>,
 * except that they are always enabled. These methods should be used instead of Java assertions
 * whenever there is a chance the check may fail "in real life". Example:

            tests themselves and not the code being tested that needs that access, though there's no
            obvious way to ensure that.

            We could consider arranging things so that only the tests we know need this would get
            the add-opens. Right now that doesn't seem worth the effort, though.
        -->
        <test.add.opens>

            tests themselves and not the code being tested that needs that access, though there's no
            obvious way to ensure that.

            We could consider arranging things so that only the tests we know need this would get
            the add-opens. Right now that doesn't seem worth the effort, though.
        -->
        <test.add.opens>

  // The scheduler will prefer to schedule pods to nodes that satisfy
  // the affinity expressions specified by this field, but it may choose
  // a node that violates one or more of the expressions. The node that is
  // most preferred is the one with the greatest sum of weights, i.e.
  // for each node that meets all of the scheduling requirements (resource