* if {@code n == 0}.
   *
   * <p><b>Warning:</b> the result takes <i>O(n log n)</i> space, so use cautiously.
   *
   * <p>This uses an efficient binary recursive algorithm to compute the factorial with balanced
   * multiplies. It also removes all the 2s from the intermediate products (shifting them back in at
   * the end).
   *
   * @throws IllegalArgumentException if {@code n < 0}
   */

* Ensure ownership when deleting a load balancer security group ([#74311](https://github.com/kubernetes/kubernetes/pull/74311), [@hpedrorodrigues](https://github.com/hpedrorodrigues))
* kubelet: updated logic of verifying a static critical pod. ([#75144](https://github.com/kubernetes/kubernetes/pull/75144), [@Huang-Wei](https://github.com/Huang-Wei))

* Update Dashboard UI version to 1.4.2 ([#35895](https://github.com/kubernetes/kubernetes/pull/35895), [@rf232](https://github.com/rf232))
* Add support for service load balancer source ranges to Azure load balancers. ([#36696](https://github.com/kubernetes/kubernetes/pull/36696), [@brendandburns](https://github.com/brendandburns))

constraints.Mod11Check.message = La suma de comprobación Módulo 11 de {value} es incorrecta.
constraints.ModCheck.message = La suma de comprobación {modType} de {value} es incorrecta.
constraints.NotBlank.message = {item} no puede estar en blanco.
constraints.NotEmpty.message = {item} no puede estar vacío.
constraints.ParametersScriptAssert.message = La expresión de script "{script}" no es verdadera.
constraints.Range.message = {item} debe estar entre {min} y {max}.

Aquí tienes una representación visual de cómo el **proxy** añade headers reenviados entre el cliente y el **application server**:

```mermaid
sequenceDiagram
    participant Client as Cliente
    participant Proxy as Proxy/Load Balancer
    participant Server as Servidor de FastAPI

    Client->>Proxy: HTTPS Request<br/>Host: mysuperapp.com<br/>Path: /items

    Note over Proxy: El proxy añade headers reenviados

Here's a visual representation of how the **proxy** adds forwarded headers between the client and the **application server**:

```mermaid
sequenceDiagram
    participant Client
    participant Proxy as Proxy/Load Balancer
    participant Server as FastAPI Server

    Client->>Proxy: HTTPS Request<br/>Host: mysuperapp.com<br/>Path: /items

    Note over Proxy: Proxy adds forwarded headers

- AWS cloudprovider will ignore provisioning load balancers if the annotation service.beta.kubernetes.io/aws-load-balancer-type is external or nlb-ip ([#97975](https://github.com/kubernetes/kubernetes/pull/97975), [@kish...

- Fix a bug in kube-proxy that caused it to crash when using load balancers with a different IP family ([#87117](https://github.com/kubernetes/kubernetes/pull/87117), [@aojea](https://github.com/aojea)) [SIG Network]

### 프록시 전달 헤더가 동작하는 방식 { #how-proxy-forwarded-headers-work }

다음은 **프록시**가 클라이언트와 **애플리케이션 서버** 사이에서 전달 헤더를 추가하는 과정을 시각적으로 나타낸 것입니다:

```mermaid
sequenceDiagram
    participant Client
    participant Proxy as Proxy/Load Balancer
    participant Server as FastAPI Server

    Client->>Proxy: HTTPS Request<br/>Host: mysuperapp.com<br/>Path: /items

    Note over Proxy: Proxy adds forwarded headers

America/Argentina/San_Juan America/Argentina/San_Luis America/Argentina/Tucuman America/Argentina/Ushuaia America/Aruba America/Asuncion America/Atikokan America/Atka America/Bahia America/Bahia_Banderas America/Barbados America/Belem America/Belize America/Blanc-Sablon America/Boa_Vista America/Bogota America/Boise America/Buenos_Aires America/Cambridge_Bay America/Campo_Grande America/Cancun America/Caracas America/Catamarca America/Cayenne America/Cayman America/Chicago America/Chihuahua America/Ciudad_Juarez...