from typing import List, Dict
import xml.etree.ElementTree as ET

def generate_context(containers: List[Dict[str, any]]) -> str:
    """Generate full context XML string.
    
    Args:
        containers: List of container status dictionaries
    
    Returns:
        Formatted context XML string
    """
    context_elem = ET.Element("context")
    context_elem.append(format_containers_xml(containers))
    ET.indent(context_elem, space="\t")
    return ET.tostring(context_elem, encoding='unicode')

def format_containers_xml(containers: List[Dict[str, any]]) -> ET.Element:
    """Format container statuses as XML string.
    
    Args:
        containers: List of dictionaries containing container information
        
    Returns:
        ElementTree.Element representing the containers
    """
    containers_elem = ET.Element("containers")
    
    for container in containers:
        container_elem = ET.SubElement(containers_elem, "container")
        container_elem.set("name", container['name'])
        container_elem.set("status", container['status'])
        container_elem.set("started_at", container['started_at'])
        container_elem.set("stdout", str(container['stdout_size']))
        container_elem.set("stderr", str(container['stderr_size']))
        if 'exit_code' in container.keys():
            container_elem.set("exit_code", str(container['exit_code']))
        if 'error' in container.keys():
            container_elem.set("error", container['error'])
    return containers_elem