Width margin
width_margin_mm
Actual car width minus minimum width
Scores if within ±3% of the reference value.
Calculates numeric margins for lift car internal width, internal depth, and clear door opening against explicit minimum requirements. The template also reports car floor area and rated load density for reduced vertical transportation checks.
with-tool: The model is given an executable Python calculator script.
Standards
One template produces many comparable benchmark tasks while keeping the scoring contract fixed.
01
The reusable contract shown on this page.
02
An archetype and site context are sampled.
03
Inputs may be hidden at harder tiers.
04
The model responds with the declared outputs.
Inputs the model receives, and the outputs it is scored on.
7 inputs
Included directly in every task prompt.
Car internal width
car_internal_width_mm
Lift car internal width
Car internal depth
car_internal_depth_mm
Lift car internal depth
Door clear opening
door_clear_opening_mm
Clear door opening width
Rated load
rated_load_kg
Lift rated load
Minimum width
minimum_width_mm
Required minimum car width
Minimum depth
minimum_depth_mm
Required minimum car depth
Visible in easier tasks and withheld in one or more harder tiers.
Minimum door opening
minimum_door_opening_mm
Required minimum clear door opening
Hidden at hard difficulty.
5 outputs
width_margin_mm
Actual car width minus minimum width
Scores if within ±3% of the reference value.
depth_margin_mm
Actual car depth minus minimum depth
Scores if within ±3% of the reference value.
door_opening_margin_mm
Actual door opening minus minimum door opening
Scores if within ±3% of the reference value.
car_floor_area_m2
Car floor area
Scores if within ±3% of the reference value.
rated_load_density_kg_m2
Rated load divided by car floor area
Scores if within ±3% 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.
All inputs given
Accessible passenger lift with all values visible
All inputs given
Lift car selected from passenger or goods cases
Some inputs hidden
Goods lift car with minimum door opening embedded in context
Hidden inputs
Prompt replacement text
Use the minimum clear door opening implied by {{ archetype.description }}.
Minimum door opening restricted to: 1400
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.
1# ABOUTME: Prompt template for lift car dimension margin tasks.2# ABOUTME: Presents actual and minimum car dimensions plus rated load.3 4You are a senior vertical transportation engineer checking lift car dimension margins.5 6## Given7 8| Parameter | Value | Unit |9|-----------|-------|------|10| Car internal width | {{ car_internal_width_mm }} | mm |11| Car internal depth | {{ car_internal_depth_mm }} | mm |12| Door clear opening | {{ door_clear_opening_mm }} | mm |13| Rated load | {{ rated_load_kg }} | kg |14| Minimum internal width | {{ minimum_width_mm }} | mm |15| Minimum internal depth | {{ minimum_depth_mm }} | mm |16| Minimum door opening | {{ minimum_door_opening_mm }} | mm |17 18## Constraints19 20- Width margin equals actual car width minus minimum width.21- Depth margin equals actual car depth minus minimum depth.22- Door opening margin equals actual clear opening minus minimum clear opening.23- Car floor area equals internal width times internal depth, converted from mm2 to m2.24- Rated load density equals rated load divided by car floor area.25 26## Output Format27 28Include a JSON block with exactly these keys:29 30```json31{32 "width_margin_mm": <numeric_value>,33 "depth_margin_mm": <numeric_value>,34 "door_opening_margin_mm": <numeric_value>,35 "car_floor_area_m2": <numeric_value>,36 "rated_load_density_kg_m2": <numeric_value>37}38```39 40Write your complete solution to `/workspace/output.md`.41 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.
accessible_passenger_lift
Accessible passenger lift car
goods_lift_car
Goods lift car
goods-lift-goods-lift-car-preview — hard difficulty, some inputs hidden.
Goods lift car. goods-lift. Required outputs: width_margin_mm, depth_margin_mm, door_opening_margin_mm, car_floor_area_m2, rated_load_density_kg_m2
Scenario context and visible inputs.
Executable tool: car-dimensions-check_calc.py
Inputs withheld at this difficulty.
Minimum door opening
minimum_door_opening_mm
Stand-in text in the prompt
Use the minimum clear door opening implied by {{ archetype.description }}.
The scored JSON answer schema.
{
"width_margin_mm": <number>,
"depth_margin_mm": <number>,
"door_opening_margin_mm": <number>,
"car_floor_area_m2": <number>,
"rated_load_density_kg_m2": <number>
}