},
                        "price": {"type": "number", "title": "Price"},
                        "tax": {
                            "anyOf": [{"type": "number"}, {"type": "null"}],
                            "title": "Tax",
                        },
                    },
                    "type": "object",
                    "required": ["name", "price"],
                    "title": "Item",

class Item(BaseModel):
    name: str
    description: str | None = None
    price: float
    tax: float = 10.5
    tags: list[str] = []


items = {
    "foo": {"name": "Foo", "price": 50.2},
    "bar": {"name": "Bar", "description": "The bartenders", "price": 62, "tax": 20.2},
    "baz": {"name": "Baz", "description": None, "price": 50.2, "tax": 10.5, "tags": []},
}

class Item(BaseModel):
    name: str
    description: str | None = None
    price: float
    tax: float | None = None


@app.put("/items/{item_id}")
async def update_item(
    *,
    item_id: int,
    item: Item = Body(
        examples=[
            {
                "name": "Foo",
                "description": "A very nice Item",
                "price": 35.4,
                "tax": 3.2,
            },
            {

                    "title": "Product",
                    "required": ["name", "price"],
                    "type": "object",
                    "properties": {
                        "name": {"title": "Name", "type": "string"},
                        "description": {"title": "Description", "type": "string"},
                        "price": {"title": "Price", "type": "number"},
                    },
                },

    description: str | None = None
    price: float
    tax: float | None = None


@app.put("/items/{item_id}")
async def update_item(
    *,
    item_id: int,
    item: Annotated[
        Item,
        Body(
            examples=[
                {
                    "name": "Foo",
                    "description": "A very nice Item",
                    "price": 35.4,
                    "tax": 3.2,

            this.session = session;
            return this;
        }

        public SettingsBuilderRequestBuilder trace(RequestTrace trace) {
            this.trace = trace;
            return this;
        }

        public SettingsBuilderRequestBuilder installationSettingsSource(Source installationSettingsSource) {
            this.installationSettingsSource = installationSettingsSource;

        public ArtifactFactoryRequestBuilder session(Session session) {
            this.session = session;
            return this;
        }

        public ArtifactFactoryRequestBuilder trace(RequestTrace trace) {
            this.trace = trace;
            return this;
        }

        public ArtifactFactoryRequestBuilder groupId(String groupId) {
            this.groupId = groupId;
            return this;
        }

class Item(BaseModel):
    name: str | None = None
    description: str | None = None
    price: float | None = None
    tax: float = 10.5
    tags: list[str] = []


items = {
    "foo": {"name": "Foo", "price": 50.2},
    "bar": {"name": "Bar", "description": "The bartenders", "price": 62, "tax": 20.2},
    "baz": {"name": "Baz", "description": None, "price": 50.2, "tax": 10.5, "tags": []},
}

    assertEquals("three", map.higherKey("one"));
    assertEquals("three", map.higherKey("r"));
    assertEquals("three", map.ceilingKey("r"));
    assertEquals("one", map.ceilingKey("one"));
    assertEquals(mapEntry("three", 5), map.higherEntry("one"));
    assertEquals(mapEntry("one", 3), map.ceilingEntry("one"));
    assertEquals("one", map.lowerKey("three"));

    }

    /**
     * Creates a new CurlRequest with the HTTP TRACE method for the specified URL.
     *
     * @param url the URL to send the TRACE request to
     * @return a new CurlRequest object configured with the TRACE method and the specified URL
     */
    public static CurlRequest trace(final String url) {
        return new CurlRequest(Method.TRACE, url);
    }

    /**