Automated MNLP evaluation report (2026-06-11)

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+ # Automated MNLP evaluation report
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+
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+ - **Model repo:** [`cs-552-2026-group1/math_model`](https://huggingface.co/cs-552-2026-group1/math_model)
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+ - **Owner(s):** group **group1**
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+ - **Generated at:** 2026-06-11T06:23:10+00:00 (UTC)
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+ - **Pipeline:** [mnlp-project-ci](https://github.com/eric11eca/mnlp-project-ci)
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+
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+ _This PR is opened automatically by the course CI. It is **non-blocking** — you do not need to merge it. The next nightly run will refresh this file._
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+
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+ ## Evaluated checkpoint
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+
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+ - **Commit:** [`04a59ca`](https://huggingface.co/cs-552-2026-group1/math_model/commit/04a59caae3c7206c40e83107be3ae79322ed41cd)
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+ - **Message:** Submit model to HF
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+ - **Committed:** 2026-06-10T21:15:26+00:00
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+
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+ ## Summary
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+
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+ | Benchmark | Accuracy | Status |
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+ |---|---:|---|
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+ | Math | 0.3200 | ok |
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+ | Knowledge | — | not run |
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+ | Multilingual | — | not run |
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+ | Safety | — | not run |
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+
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+ ## Sample completions
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+
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+ _Prompts are intentionally omitted to avoid revealing benchmark contents. For multi-completion problems, only one completion is shown per sample._
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+
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+ ### Math
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+
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+ **Correct** (1 shown)
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+
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+ - **reference**: `\frac{639}{40}`
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+ - **overall** (8/8 completions correct)
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+ - **extracted** (✓): `\frac{639}{40}`
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+ - **completion**:
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+
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+ ```text
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+ <think>
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+ 1. **Identify the given information:**
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+ - On the map, a length of $3$ inches represents $10$ miles in the real world.
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+ - The actual distance between two buildings is $53.25$ miles.
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+
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+ 2. **Set up the proportion:**
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+ - Let $x$ be the distance between the buildings on the map in inches.
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+ - The proportion can be set up as:
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+ \[
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+ \frac{3 \text{ inches}}{10 \text{ miles}} = \frac{x \text{ inches}}{53.25 \text{ miles}}
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+ \]
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+
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+ 3. **Cross-multiply to solve for $x$:**
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+ \[
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+ 3 \times 53.25 = 10 \times x
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+ \]
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+ \[
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+ 159.75 = 10x
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+ \]
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+
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+ 4. **Solve for $x$:**
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+ \[
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+ x = \frac{159.75}{10}
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+ \]
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+ \[
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+ x = 15.975
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+ \]
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+
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+ 5. **Convert the decimal to a fraction:**
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+ - The decimal $15.975$ can be written as:
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+ \[
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+ 15.975 = 15 + 0.975
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+ \]
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+ - Convert $0.975$ to a fraction:
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+ \[
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+ 0.975 = \frac{975}{1000}
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+ \]
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+ - Simplify $\frac{975}{1000}$ by dividing both the numerator and the denominator by their greatest common divisor, which is $25$:
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+ \[
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+ \frac{975}{1000} = \frac{39}{40}
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+ \]
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+ - Therefore:
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+ \[
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+ 15.975 = 15 + \frac{39}{40} = \frac{15 \times 40}{40} + \frac{39}{40} = \frac{600 + 39}{40} = \frac{639}{40}
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+ \]
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+
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+ 6. **Conclusion:**
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+ - The distance between the buildings on the map, written as a fraction, is $\frac{639}{40}$ inches.
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+
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+ The final answer is $\boxed{\frac{639}{40}}$.
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+ </think>
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+
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+ \boxed{\frac{639}{40}}
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+ ```
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+
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+ **Incorrect** (1 shown)
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+
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+ - **reference**: `2 - \frac{\pi}{2}`
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+ - **overall** (0/8 completions correct)
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+ - **extracted** (✗): `\frac{2}{3}`
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+ - **completion**:
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+
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+ ```text
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+ <think>
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+ 1. **Define the problem and initial conditions:**
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+ - Derek starts with a debt of $\pi$ MIT.
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+ - Each day, he tosses a fair coin:
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+ - Heads: Reduces debt by 1 MIT.
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+ - Tails: Reduces debt by 2 MITs.
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+ - If at any point his debt is nonpositive, he is considered debt-free.
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+ - If his debt is positive, it is doubled after the payment.
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+
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+ 2. **Define the probability of debt-free status
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+
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+ ... [truncated 822 chars] ...
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+
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+ \frac{3}{2}}{2} = -\frac{1}{2}
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+ \]
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+ - The general solution to the recurrence relation is:
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+ \[
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+ p_n = A \cdot 1^n + B \cdot \left(-\frac{1}{2}\right)^n = A + B \left(-\frac{1}{2}\right)^n
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+ \]
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+
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+ 6. **Determine the constants $A$ and $B$:**
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+ - Using the initial conditions $p_0 = 1$ and $p_1 = \frac{1}{2}$:
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+ \[
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+ p_0 = A + B = 1
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+ \]
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+ \[
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+ p_1 = A + B \left(-\frac{1}{2}\right) = \frac{1}{2}
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+ \]
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+ - Solving these equations:
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+ \[
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+ A + B = 1
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+ \]
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+ \[
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+ A - \frac{B}{2} = \frac{1}{2}
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+ \]
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+ \[
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+ 2A - B = 1
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+ \]
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+ \[
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+ 2A - B = 1
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+ \]
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+ \[
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+ 2A - (1 - A) = 1
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+ \]
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+ \[
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+ 3A = 2
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+ \]
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+ \[
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+ A = \frac{2}{3}
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+ \]
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+ \[
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+ B = 1 - A = 1 - \frac{2}{3} = \frac{1}{3}
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+ \]
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+
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+ 7. **Find the probability for $n = \pi$:**
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+ - Substitute $n = \pi$ into the general solution:
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+ \[
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+ p_\pi = \frac{2}{3} + \frac{1}{3} \left(-\frac{1}{2}\right)^\pi
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+ \]
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+ - Since $\left(-\frac{1}{2}\right)^\pi$ is a very small number (approaching 0 as $\pi$ increases), we can approximate:
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+ \[
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+ p_\pi \approx \frac{2}{3}
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+ \]
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+
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+ The final answer is $\boxed{\frac{2}{3}}$.
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+ </think>
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+
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+ \boxed{\frac{2}{3}}
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+ ```