diff --git a/fastapi/_compat/v2.py b/fastapi/_compat/v2.py
index 54a9cfacde..c913874612 100644
--- a/fastapi/_compat/v2.py
+++ b/fastapi/_compat/v2.py
@@ -570,6 +570,7 @@ def get_flat_models_from_fields(
         get_flat_models_from_field(field, known_models=known_models)
     return known_models
 
+
 def _regenerate_error_with_loc(
     *, errors: Sequence[Any], loc_prefix: tuple[Union[str, int], ...]
 ) -> list[dict[str, Any]]:
@@ -579,6 +580,7 @@ def _regenerate_error_with_loc(
 
     return updated_loc_errors
 
+
 if shared.PYDANTIC_VERSION_MINOR_TUPLE >= (2, 6):
     # Omit by default for scalar mapping and scalar sequence mapping annotations
     # added in Pydantic v2.6 https://github.com/pydantic/pydantic/releases/tag/v2.6.0
diff --git a/tests/test_request_params/test_query/test_free_form.py b/tests/test_request_params/test_query/test_free_form.py
index 36a10b1393..d2f28bd952 100644
--- a/tests/test_request_params/test_query/test_free_form.py
+++ b/tests/test_request_params/test_query/test_free_form.py
@@ -75,11 +75,15 @@ def test_required_dict_str(path: str):
     assert response.status_code == 200
     assert response.json() == {"p": {"foo": "bar", "baz": "qux"}}
 
+
 # =====================================================================================
 # With union types
 
+
 @app.get("/required-dict-union")
-async def read_required_dict_union(p: Annotated[dict[str, str] | dict[str, int], Query()]):
+async def read_required_dict_union(
+    p: Annotated[dict[str, str] | dict[str, int], Query()],
+):
     return {"p": p}
 
 
@@ -91,6 +95,7 @@ class QueryModelRequiredDictUnion(BaseModel):
 def read_model_required_dict_union(p: Annotated[QueryModelRequiredDictUnion, Query()]):
     return {"p": p.p}
 
+
 @pytest.mark.parametrize(
     "path",
     ["/required-dict-union", "/model-required-dict-union"],
@@ -117,6 +122,7 @@ def test_required_dict_union_schema(path: str):
         }
     ]
 
+
 @pytest.mark.parametrize(
     "path",
     ["/required-dict-union", "/model-required-dict-union"],
@@ -136,6 +142,7 @@ def test_required_dict_union_missing(path: str):
         ]
     }
 
+
 @pytest.mark.parametrize(
     "path",
     ["/required-dict-union", "/model-required-dict-union"],
@@ -146,6 +153,7 @@ def test_required_dict_union(path: str):
     assert response.status_code == 200
     assert response.json() == {"p": {"foo": "bar", "baz": "42"}}
 
+
 @app.get("/required-dict-of-union")
 async def read_required_dict_of_union(p: Annotated[dict[str, int | bool], Query()]):
     return {"p": p}
@@ -161,6 +169,7 @@ def read_model_required_dict_of_union(
 ):
     return {"p": p.p}
 
+
 @pytest.mark.parametrize(
     "path",
     ["/required-dict-of-union", "/model-required-dict-of-union"],
@@ -184,6 +193,7 @@ def test_required_dict_of_union_schema(path: str):
         }
     ]
 
+
 @pytest.mark.parametrize(
     "path",
     ["/required-dict-of-union", "/model-required-dict-of-union"],
@@ -215,19 +225,23 @@ def test_required_dict_of_union(path: str):
     assert response.status_code == 200
     assert response.json() == {"p": {"foo": True, "baz": 42}}
 
+
 @app.get("/required-dict-of-list")
 async def read_required_dict_of_list(p: Annotated[dict[str, list[int]], Query()]):
     return {"p": p}
 
+
 class QueryModelRequiredDictOfList(BaseModel):
     p: dict[str, list[int]]
 
+
 @app.get("/model-required-dict-of-list")
 def read_model_required_dict_of_list(
     p: Annotated[QueryModelRequiredDictOfList, Query()],
 ):
     return {"p": p.p}
 
+
 @pytest.mark.parametrize(
     "path",
     ["/required-dict-of-list", "/model-required-dict-of-list"],
@@ -249,6 +263,7 @@ def test_required_dict_of_list_schema(path: str):
         }
     ]
 
+
 @pytest.mark.parametrize(
     "path",
     ["/required-dict-of-list", "/model-required-dict-of-list"],
@@ -268,6 +283,7 @@ def test_required_dict_of_list_missing(path: str):
         ]
     }
 
+
 @pytest.mark.parametrize(
     "path",
     ["/required-dict-of-list", "/model-required-dict-of-list"],