Round #633
10 May 2026, 08:26· csharp· qwen2.5-coder-7b-instruct· r13-clean-hints
- Complexity
- band 0
- ZP / UO / OBS
- 0 / 0 / 0
- Journey weight
- 0
- Lightshift ΔL
- —
Prompt
What is the square root of 169?
Zero-point index (what the engine surfaced)
ZPI-ZPI-0007 | 2026-05-10T08:26:02Z
What is the square root of 169?
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)
The square root of 169 is 13.
Enhanced response (with ZPI)
The square root of 169 is 13.
Explanation:
To find the square root of a number, we need to determine which number, when multiplied by itself, gives the original number. In this case, we are looking for a number that, when squared, equals 169.
Let's denote this unknown number as \( x \). We can set up the equation:
\[ x^2 = 169 \]
To solve for \( x \), we take the square root of both sides of the equation:
\[ x = \sqrt{169} \]
Using a calculator or our knowledge of squares, we find that:
\[ 13 \times 13 = 169 \]
Therefore, the square root of 169 is 13.
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
SameV5cerebras/qwen-3-235b-a22b-instruct-2507
SameV7qwen2.5-coder-7b-instruct
SameV8openai/gpt-4.1
BetterV9anthropic/claude-opus-4-7
SameV12openai/gpt-4o
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