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
Better
V4qwen2.5-coder-3b-instruct
Better
V5cerebras/qwen-3-235b-a22b-instruct-2507
Better
V7qwen2.5-coder-7b-instruct
Better
V8openai/gpt-4.1
Better
V9anthropic/claude-opus-4-7
Better
V12openai/gpt-4o
Better

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