Round #768
10 May 2026, 17:34· csharp· Meta-Llama-3.3-70B-Instruct· r14-length-bound
- Complexity
- band 0
- ZP / UO / OBS
- 0 / 0 / 0
- Journey weight
- 0
- Lightshift ΔL
- —
Prompt
What is 2 cubed times 3 squared?
Zero-point index (what the engine surfaced)
ZPI-ZPI-0014 | 2026-05-10T17:34:00Z
What is 2 cubed times 3 squared?
ZERO POINT — 0 entries (structural invariants)
UNOBSERVED — 0 entries (implied truths)
OBSERVED — 0 entries (explicit in request)
COMPLEXITY │ 0 entries │ spread: 0° │ band: LOW
Baseline response (no ZPI)
To calculate this, we need to follow the order of operations (PEMDAS):
1. Calculate the exponentiation:
- 2 cubed = 2³ = 2 × 2 × 2 = 8
- 3 squared = 3² = 3 × 3 = 9
2. Multiply the results:
- 8 × 9 = 72
So, 2 cubed times 3 squared is 72.
Here is a simple C# code snippet to calculate this:
```csharp
using System;
class Program
{
static void Main()
{
// Calculate 2 cubed
int twoCubed = (int)Math.Pow(2, 3);
// Calculate 3 squared
int threeSquared = (int)Math.Pow(3, 2);
// Multiply the results
int result = twoCubed * threeSquared;
Console.WriteLine("2 cubed times 3 squared is: " + result);
}
}
```
When you run this code, it will output: "2 cubed times 3 squared is: 72"
Enhanced response (with ZPI)
2 cubed is 8 and 3 squared is 9, so 8 * 9 = 72.
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
WorseV4qwen2.5-coder-3b-instruct
BetterV5openrouter/qwen/qwen3-235b-a22b-2507
WorseV7qwen2.5-coder-7b-instruct
SameV8openai/gpt-4.1
WorseV9anthropic/claude-opus-4-7
WorseV12openai/gpt-4o
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