Required width
required_width_mm
Required aggregate egress width
Scores if within ±3% of the reference value.
Calculates required egress width from occupant load and an explicit width-per-occupant criterion, then compares it with provided width. The template reports required width, margin, utilisation, and a numeric pass flag.
with-tool: The model is given an executable Python calculator script.
One template produces many comparable benchmark tasks while keeping the scoring contract fixed.
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The reusable contract shown on this page.
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An archetype and site context are sampled.
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Inputs may be hidden at harder tiers.
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The model responds with the declared outputs.
Inputs the model receives, and the outputs it is scored on.
3 inputs
Included directly in every task prompt.
Occupant load
occupant_load
Design occupant load
Width per occupant mm
width_per_occupant_mm
Required egress width per occupant
Provided width
provided_width_mm
Provided aggregate egress width
4 outputs
required_width_mm
Required aggregate egress width
Scores if within ±3% of the reference value.
provided_margin_mm
Provided width minus required width
Scores if within ±3% of the reference value.
utilisation_ratio
Required width divided by provided width
Scores if within ±3% of the reference value.
width_satisfies
Numeric flag where 1 means the provided width satisfies the requirement
Scores if within ±1% of the reference value.
Each template is sampled at three tiers. Harder tiers may hide inputs, forcing the model to infer them from the scenario description.
For this template, difficulty scales through parameter and scenario ranges rather than hidden information.
The exact instruction and parameter contract used to generate this task, pinned to the published library source.
/workspace
Teal lines show Jinja input conditions, not task visibility policy. A line renders only when that input or tool is visible.
1You are a senior fire and life-safety engineer specializing in egress design checks.2 3## Problem4 5Calculate required egress width from occupant load and an explicit width-per-occupant criterion.6 7## Given8 9| Parameter | Value | Unit |10|-----------|-------|------|11| Occupant load | {{ occupant_load }} | persons |12| Width per occupant | {{ width_per_occupant_mm }} | mm/person |13| Provided egress width | {{ provided_width_mm }} | mm |14 15{% if archetype_description is defined %}16### Egress Context17 18{{ archetype_description }}19{% endif %}20 21{% if tool_available %}22## Available Tool23 24An egress width calculation tool is available at `/workspace/{{ meta.name }}_calc.py`. Run it with:25 26```bash27python3 /workspace/{{ meta.name }}_calc.py --help28```29 30You may use this tool to verify your calculations or compute values directly.31{% endif %}32 33## Required34 35Calculate the following:36 371. Required egress width382. Provided width margin393. Width utilisation ratio404. Numeric pass flag, where 1 means the provided width satisfies the requirement41 42## Constraints43 44- No internet access is available. Work from engineering knowledge and the provided tool.45- Use required width = occupant load x width per occupant.46- Use only the explicit width-per-occupant criterion provided.47 48## Output Format49 50Show your step-by-step working in Markdown. At the end of your solution, include a JSON block with your final answers in exactly this format:51 52```json53{54 "required_width_mm": <numeric_value>,55 "provided_margin_mm": <numeric_value>,56 "utilisation_ratio": <numeric_value>,57 "width_satisfies": <numeric_value>58}59```60 61Write your complete solution to `/workspace/output.md`.62 63 Each generated task is drawn from one of these realistic scenario bands.
Site contexts ground each scenario in a real locale the model can use to infer hidden values.
office_exit
Office exit width check
station_concourse
Station concourse egress width check
station-concourse-station-concourse-preview — hard difficulty, all inputs given.
Station concourse egress width check. station-concourse. Required outputs: required_width_mm, provided_margin_mm, utilisation_ratio, width_satisfies
Scenario context and visible inputs.
Executable tool: egress-width_calc.py
Inputs withheld at this difficulty.
Nothing. All inputs are supplied.
The scored JSON answer schema.
{
"required_width_mm": <number>,
"provided_margin_mm": <number>,
"utilisation_ratio": <number>,
"width_satisfies": <number>
}