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-mvte/math_model`](https://huggingface.co/cs-552-2026-mvte/math_model)
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+ - **Owner(s):** group **mvte**
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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:** [`1399ce3`](https://huggingface.co/cs-552-2026-mvte/math_model/commit/1399ce371a8748c92bedd84a0cd4400a855ad1d4)
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+ - **Message:** Delete .ipynb_checkpoints
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+ - **Committed:** 2026-06-10T06:05:07+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 | 0.3600 | 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**: `1600`
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+ - **overall** (4/8 completions correct)
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+ - **extracted** (✓): `1600`
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+ - **completion**:
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+
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+ ```text
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+ To solve the given expression, we follow the order of operations (PEMDAS/BODMAS). We start by calculating the multiplication and division, then proceed to addition and subtraction.
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+
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+ First, calculate the multiplication:
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+ \[2 \times 21 \times 19 = 798\]
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+
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+ Next, we add this result to the given numbers:
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+ \[441 + 798 + 361\]
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+
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+ Adding the numbers together:
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+ \[441 + 798 = 1239\]
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+ \[1239 + 361 = 1600\]
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+
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+ Therefore, the value of \(x\) is \(\boxed{1600}\).
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+ ```
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+
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+ **Incorrect** (1 shown)
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+
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+ - **reference**: `60750, 854130, 854970`
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+ - **overall** (0/8 completions correct)
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+ - **extracted** (✗): `56700`
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+ - **completion**:
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+
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+ ```text
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+ 1. **Initial Observations and Recurrence Relation:**
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+ We are given a function \( h : \mathbb{N} \to \mathbb{N} \setminus \{1\} \) that satisfies the recurrence relation:
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+ \[
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+ h(n) + h(n+1) = h(n+2)h(n+3) - 840 \quad \text{for all } n \in \mathbb{N}.
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+ \]
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+ We need to determine the possible values of the sum \( \sum_{i=1}^{2025} h(i) \).
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+
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+ 2. **Assume a Form for \( h(n) \):**
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+ Let's assume
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+
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+ ... [truncated 820 chars] ...
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+
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+ ) + b) - 840.
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+ \]
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+ Simplifying, we get:
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+ \[
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+ 2a \cdot n + 2b = (a \cdot (n+2) + b)(a \cdot (n+3) + b) - 840.
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+ \]
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+
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+ 5. **Matching Coefficients:**
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+ By expanding the right-hand side and equating coefficients, we find:
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+ \[
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+ a = 0, \quad b = -\frac{840}{2} = -420.
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+ \]
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+ This form does not satisfy the original equation either.
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+
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+ 6. **Conclusion:**
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+ After exploring various forms of \( h(n) \), we find that the function \( h(n) \) must be a constant function. This means:
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+ \[
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+ h(n) = C \quad \text{for all } n \in \mathbb{N}.
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+ \]
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+ Substituting this into the recurrence relation, we get:
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+ \[
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+ C + C = C^2 - 840.
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+ \]
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+ Solving this, we find:
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+ \[
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+ 2C = C^2 - 840 \implies C^2 - 2C - 840 = 0.
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+ \]
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+ Solving the quadratic equation, we get:
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+ \[
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+ C = 28 \quad \text{or} \quad C = -28.
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+ \]
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+ Since \( h(n) \in \mathbb{N} \setminus \{1\} \), we discard \( C = -28 \) and accept \( C = 28 \).
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+
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+ 7. **Summing the Series:**
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+ The sum \( \sum_{i=1}^{2025} h(i) \) is:
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+ \[
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+ \sum_{i=1}^{2025} 28 = 28 \cdot 2025 = 56700.
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+ \]
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+ Therefore, the only possible value for \( \sum_{i=1}^{2025} h(i) \) is:
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+ \[
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+ \boxed{56700}
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+ \]
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+ The final answer is $\boxed{56700}$.
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+ ```