Round #555

09 May 2026, 23:12· csharp· Meta-Llama-3.3-70B-Instruct· r13-clean-hints
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 | 2026-05-09T23:12:41Z 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)

To calculate this, we need to follow the order of operations (PEMDAS): 1. Calculate the exponentiation: - 2 cubed is 2³ = 2 × 2 × 2 = 8 - 3 squared is 3² = 3 × 3 = 9 2. Multiply the results: - 8 × 9 = 72 So, 2 cubed times 3 squared is 72. Here's a simple C# code snippet to calculate this: ```csharp using System; class Program { static void Main() { int base1 = 2; int exponent1 = 3; int base2 = 3; int exponent2 = 2; double result1 = Math.Pow(base1, exponent1); double result2 = Math.Pow(base2, exponent2); double finalResult = result1 * result2; Console.WriteLine($"2 cubed times 3 squared is {finalResult}"); } } ``` This code uses the `Math.Pow` function to calculate the exponentiation and then multiplies the results together. The final result is printed to the console.

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
V5openrouter/qwen/qwen3-235b-a22b-2507
Same
V7qwen2.5-coder-7b-instruct
Same
V8openai/gpt-4.1
Same
V9anthropic/claude-opus-4-7
Same
V12openai/gpt-4o
Same

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