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Date: Sun, 3 May 2026 08:32:02 +0000
Subject: [PATCH] =?UTF-8?q?=F0=9F=8E=A8=20Auto=20format?=
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---
 docs/en/docs/how-to/custom-request-and-route.md | 10 +++++-----
 docs_src/custom_api_router/tutorial001.py       | 11 ++++++-----
 2 files changed, 11 insertions(+), 10 deletions(-)

diff --git a/docs/en/docs/how-to/custom-request-and-route.md b/docs/en/docs/how-to/custom-request-and-route.md
index 4c56a09af2..62db622ccb 100644
--- a/docs/en/docs/how-to/custom-request-and-route.md
+++ b/docs/en/docs/how-to/custom-request-and-route.md
@@ -108,29 +108,29 @@ In this example, the *path operations* under the `router` will use the custom `T
 
 {* ../../docs_src/custom_request_and_route/tutorial003_py310.py hl[13:20] *}
 
-## Custom `APIRouter` class in a router
+## Custom `APIRouter` class in a router { #custom-apirouter-class-in-a-router }
 
 You can also set the `router_class` parameter of an `APIRouter`:
 
 {* ../../docs_src/custom_api_router/tutorial001.py hl[100:102] *}
 
-#### 🚀 Custom FastAPI Router with Timed Responses
+#### 🚀 Custom FastAPI Router with Timed Responses { #custom-fastapi-router-with-timed-responses }
 
 This example enhances FastAPI with structured routing and response timing, making APIs more organized and observable.
 
-##### ✨ Features
+##### ✨ Features { #features }
 
 - **`TimedRoute`**: Measures request duration and adds `X-Response-Time` to response headers.
 - **`AppRouter`**: A custom router that:
   - Supports **nested routers** with automatic hierarchical route naming.
   - Includes a **built-in `/healthz` endpoint** for every router.
   - Ensures **clean API structure** with logical parent-child relationships.
-##### 📌 API Structure
+##### 📌 API Structure { #api-structure }
 - **`/healthz`**: Health check endpoint for the main router. it path name is `Global.health-check`.
 - **`/model/create`**: Model creation endpoint for the model router with path name `Model.create`.
 - **`/model/{model_id}/item/create`**: Item creation endpoint for the item router and its child router of model
   router with path name `Model.Item.create`.
-##### 🔥 Benefits
+##### 🔥 Benefits { #benefits }
 
 - **Clear & maintainable API design** with structured route naming.
 - **Built-in health checks** for easier observability.
diff --git a/docs_src/custom_api_router/tutorial001.py b/docs_src/custom_api_router/tutorial001.py
index 9fd1040444..cf37fe4236 100644
--- a/docs_src/custom_api_router/tutorial001.py
+++ b/docs_src/custom_api_router/tutorial001.py
@@ -1,5 +1,6 @@
 import time
-from typing import Any, Awaitable, Callable, List, Optional, Set, Union
+from collections.abc import Awaitable, Callable
+from typing import Any, List, Set, Union
 
 from fastapi import APIRouter, FastAPI, Request, Response
 from fastapi.responses import JSONResponse
@@ -36,7 +37,7 @@ class AppRouter(APIRouter):
         tags = tags or []
         tags.insert(0, name)
         super().__init__(prefix=prefix, tags=tags, **kwargs)
-        self._parent: Optional[AppRouter] = None
+        self._parent: AppRouter | None = None
         self._add_health_check()
 
     @property
@@ -82,9 +83,9 @@ class AppRouter(APIRouter):
     def add_route(
         self,
         path: str,
-        endpoint: Callable[[Request], Union[Awaitable[Response], Response]],
-        methods: Union[List[str], None] = None,
-        name: Union[str, None] = None,
+        endpoint: Callable[[Request], Awaitable[Response] | Response],
+        methods: list[str] | None = None,
+        name: str | None = None,
         include_in_schema: bool = True,
     ) -> None:
         name = f"{self.request_name_prefix}.{name}"