Round #1007
19 May 2026, 10:21· math· Meta-Llama-3.3-70B-Instruct· r13-clean-hints
- Complexity
- band 0
- ZP / UO / OBS
- 3 / 0 / 2
- Journey weight
- 379
- Lightshift ΔL
- —
Prompt
Compute the area of a circle with radius 7. Use pi to 2 decimal places.
Zero-point index (what the engine surfaced)
ZPI-ZPI-0004 | 2026-05-19T10:21:27Z
Compute the area of a circle with radius 7. Use pi to 2 decimal places.
ZERO POINT — 3 entries (structural invariants)
● hsl(178.67, 100%, 15%) A_triangle = ½·base·height [contract]
● hsl(37.30, 100%, 15%) A_circle = πr² [contract]
● hsl(61.50, 100%, 15%) A_parallelogram = base·height [contract]
UNOBSERVED — 0 entries (implied truths)
OBSERVED — 2 entries (explicit in request)
◉ hsl(98.46, 100%, 50%) with [feature]
◉ hsl(124.10, 100%, 26%) decimal [feature]
COMPLEXITY │ 5 entries │ spread: 26° │ band: LOW
Baseline response (no ZPI)
```csharp
using System;
class Program
{
static void Main()
{
// Define the radius of the circle
double radius = 7;
// Calculate the area of the circle
double area = Math.PI * Math.Pow(radius, 2);
// Round the result to two decimal places
area = Math.Round(area, 2);
Console.WriteLine(area);
}
}
```
Enhanced response (with ZPI)
```csharp
using System;
public class CircleAreaCalculator
{
private const double Pi = 3.14;
public static double CalculateCircleArea(double radius)
{
return Pi * Math.Pow(radius, 2);
}
public static void Main(string[] args)
{
double radius = 7;
double area = CalculateCircleArea(radius);
Console.WriteLine($"The area of the circle with radius {radius} is {area:F2}");
}
}
```
This C# code calculates the area of a circle with a given radius using the formula A_circle = πr², where π is approximated to 2 decimal places as 3.14. The `CalculateCircleArea` method takes the radius as input and returns the calculated area. The `Main` method demonstrates how to use this method with a radius of 7 and prints the result to the console, rounded to 2 decimal places.
Grader chain
Each grader reads the same baseline + enhanced pair and casts an independent verdict. Disagreement is the framework's own signal — not noise to be averaged away.
V1samba/Meta-Llama-3.3-70B-Instruct
BetterV4qwen2.5-coder-3b-instruct
BetterV5cerebras/qwen-3-235b-a22b-instruct-2507
BetterV7qwen2.5-coder-7b-instruct
BetterV8openai/gpt-4.1
BetterV9anthropic/claude-opus-4-7
BetterV12openai/gpt-4o
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