Round #1008

19 May 2026, 10:21· math· Meta-Llama-3.3-70B-Instruct· r13-clean-hints
Complexity
band 0
ZP / UO / OBS
3 / 0 / 1
Journey weight
305
Lightshift ΔL

Prompt

Compute the volume of a cylinder with radius 3 and height 10.

Zero-point index (what the engine surfaced)

ZPI-ZPI-0005 | 2026-05-19T10:21:57Z Compute the volume of a cylinder with radius 3 and height 10. ZERO POINT — 3 entries (structural invariants) ● hsl(177.80, 100%, 15%) V_sphere = (4/3)πr³ [contract] ● hsl(166.25, 100%, 15%) V_cylinder = πr²h [contract] ● hsl(158.42, 100%, 15%) V_cone = (1/3)πr²h [contract] UNOBSERVED — 0 entries (implied truths) OBSERVED — 1 entries (explicit in request) ◉ hsl(98.46, 100%, 50%) with [feature] COMPLEXITY │ 4 entries │ spread: 0° │ band: LOW

Baseline response (no ZPI)

```csharp using System; class Program { static void Main() { // Define the radius and height of the cylinder double radius = 3; double height = 10; // Compute the volume of the cylinder double volume = Math.PI * Math.Pow(radius, 2) * height; Console.WriteLine("The volume of the cylinder is: " + volume); } } ```

Enhanced response (with ZPI)

```csharp using System; public class VolumeCalculator { public static double CalculateCylinderVolume(double radius, double height) { if (radius < 0 || height < 0) { throw new ArgumentException("Radius and height must be non-negative."); } return Math.PI * Math.Pow(radius, 2) * height; } public static void Main(string[] args) { double radius = 3; double height = 10; double volume = CalculateCylinderVolume(radius, height); Console.WriteLine($"The volume of the cylinder is: {volume}"); } } ``` This C# code defines a method `CalculateCylinderVolume` to compute the volume of a cylinder given its radius and height, using the formula `V_cylinder = πr²h`. The `Main` method demonstrates how to use this method with a radius of 3 and a height of 10.

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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