{# Minimal, no tools, Llama-3 headers; ends turns with <|eot_id|> #}
{%- set default_system = 'You are a math problem solving assistant. Read the given math problem, reason your thoughts and approach in <think>...</think> tags and provide the final answer as a (\\boxed{}\\) value\n\n' -%}

{# System message (use provided one if present, else a tiny default) #}
{%- if messages and messages[0]['role'] == 'system' -%}
<|start_header_id|>system<|end_header_id|>
{{ messages[0]['content'] }}
<|eot_id|>
{%- else -%}
<|start_header_id|>system<|end_header_id|>
{{ default_system }}
<|eot_id|>
{%- endif -%}

{# Render all remaining messages (user / assistant) #}
{%- for m in messages -%}
  {%- if not (loop.first and m.role == 'system') -%}
<|start_header_id|>{{ m.role }}<|end_header_id|>
{{ m.content }}
<|eot_id|>
  {%- endif -%}
{%- endfor -%}

{# When generation is requested, open the assistant header #}
{%- if add_generation_prompt -%}
<|start_header_id|>assistant<|end_header_id|>
{%- endif -%}