Free space path loss db
free_space_path_loss_db
Free-space path loss
Scores if within ±3% of the reference value.
Calculates wireless link budget using transmit power, antenna gains, distance, frequency, obstacle losses, and receive sensitivity. The template computes free-space path loss, total path loss, received signal level, and link margin.
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.
Transmit power
transmit_power_dbm
Transmit power
Transmit antenna gain
transmit_antenna_gain_dbi
Transmit antenna gain
Distance
distance_m
Link distance
Frequency
frequency_ghz
Carrier frequency
Receive antenna gain
receive_antenna_gain_dbi
Receive antenna gain
Required receive sensitivity
required_receive_sensitivity_dbm
Required receive sensitivity
Visible in easier tasks and withheld in one or more harder tiers.
Obstacle losses
obstacle_losses_db
Additional obstacle and miscellaneous losses
Hidden at hard difficulty.
4 outputs
free_space_path_loss_db
Free-space path loss
Scores if within ±3% of the reference value.
total_path_loss_db
Total path loss including obstacles
Scores if within ±3% of the reference value.
received_signal_level_dbm
Received signal level
Scores if within ±3% of the reference value.
link_margin_db
Margin above required receive sensitivity
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
Short wireless link with all losses visible
All inputs given
Short or long wireless link
Some inputs hidden
Obstacle loss hidden in path context
Hidden inputs
Prompt replacement text
Use the additional path loss implied by {{ archetype.description }}.
Obstacle losses db restricted to: 10
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 wireless systems engineer checking an RF link budget.2 3## Given4 5| Parameter | Value | Unit |6|-----------|-------|------|7| Transmit power | {{ transmit_power_dbm }} | dBm |8| Transmit antenna gain | {{ transmit_antenna_gain_dbi }} | dBi |9| Link distance | {{ distance_m }} | m |10| Frequency | {{ frequency_ghz }} | GHz |11| Receive antenna gain | {{ receive_antenna_gain_dbi }} | dBi |12{% if obstacle_losses_db is defined %}13| Obstacle losses | {{ obstacle_losses_db }} | dB |14{% endif %}15| Required receive sensitivity | {{ required_receive_sensitivity_dbm }} | dBm |16 17## Constraints18 19- Use `FSPL = 32.44 + 20 log10(distance_km) + 20 log10(frequency_MHz)`.20- Total path loss equals free-space path loss plus obstacle losses.21- Received signal equals transmit power plus antenna gains minus total path loss.22- Link margin equals received signal minus required receive sensitivity.23 24## Output Format25 26Include a JSON block with exactly these keys:27 28```json29{30 "free_space_path_loss_db": <numeric_value>,31 "total_path_loss_db": <numeric_value>,32 "received_signal_level_dbm": <numeric_value>,33 "link_margin_db": <numeric_value>34}35```36 37Write your complete solution to `/workspace/output.md`.38 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.
short_wifi_link
Short Wi-Fi or telemetry link
long_field_link
Longer directional field wireless link
roadside-radio-long-field-link-preview — hard difficulty, some inputs hidden.
Longer directional field wireless link. roadside-radio. Required outputs: free_space_path_loss_db, total_path_loss_db, received_signal_level_dbm, link_margin_db
Scenario context and visible inputs.
Executable tool: rf-link-budget_calc.py
Inputs withheld at this difficulty.
Obstacle losses db
obstacle_losses_db
Stand-in text in the prompt
Use the additional path loss implied by {{ archetype.description }}.
The scored JSON answer schema.
{
"free_space_path_loss_db": <number>,
"total_path_loss_db": <number>,
"received_signal_level_dbm": <number>,
"link_margin_db": <number>
}