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
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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