NikolayKozloff
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README.md
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---
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base_model: AI-MO/NuminaMath-7B-TIR
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license: apache-2.0
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pipeline_tag: text-generation
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tags:
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- alignment-handbook
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- generated_from_trainer
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- llama-cpp
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- gguf-my-repo
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widget:
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- example_title: Math problem
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messages:
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- role: user
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content: For how many values of the constant $k$ will the polynomial $x^{2}+kx+36$
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have two distinct integer roots?
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output:
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text: '### Solution: 1. For the polynomial \\( x^2 + kx + 36 \\) to have two distinct
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integer roots, let''s denote these roots by \\( r_1 \\) and \\( r_2 \\).\n\n2.
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According to Vieta''s formulas, the sum of the roots \\( r_1 + r_2 \\) is equal
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to \\(-k\\), and the product of the roots \\( r_1 \\cdot r_2 \\) is equal to
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36.\n\n3. To find the distinct integer pairs \\((r_1, r_2)\\) whose product
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is 36, we need to determine all pairs of integers \\((r_1, r_2)\\) such that
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\\( r_1 \\cdot r_2 = 36 \\) and \\( r_1 \\neq r_2 \\).\n\n4. From the equation
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\\( r_1 + r_2 = -k \\), for each valid pair \\((r_1, r_2)\\), we can compute
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the corresponding value of \\( k \\).\n\n5. Finally, since we need the polynomial
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to have two distinct integer roots, we need to ensure that \\( r_1 \\) and \\(
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r_2 \\) are distinct.\n\nLet''s start by finding all pairs \\((r_1, r_2)\\)
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such that \\( r_1 \\cdot r_2 = 36 \\). We''ll then determine the values of \\(
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k \\) and ensure the roots are distinct.\n```python\nimport itertools\n\n# Find
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all pairs (r1, r2) such that r1 * r2 = 36\nproduct_36 = 36\nfactor_pairs = []\n\nfor
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i in range(1, product_36 + 1):\n if product_36 % i == 0:\n pair = (i, product_36
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// i)\n if pair[0] != pair[1]: # Ensure distinct pairs\n factor_pairs.append(pair)\n\n#
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Calculate k for each pair and ensure distinct integer roots\nvalid_k_values
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= set()\nfor r1, r2 in factor_pairs:\n if r1 != r2:\n k = -(r1 + r2)\n valid_k_values.add(k)\n\nprint((len(valid_k_values),
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sorted(valid_k_values)))\n```\n```output\n(4, [-37, -20, -15, -13])\n```\nThe
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distinct integer values of \\( k \\) that make the polynomial \\( x^2 + kx +
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36 \\) have two distinct integer roots are \\(-37, -20, -15, \\text{and} -13\\).\n\nTherefore,
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the number of such values of \\( k \\) is:\n\n\\[\n\\boxed{4}\n\\]\n'
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model-index:
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- name: NuminaMath-7B-TIR
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results: []
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---
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# NikolayKozloff/NuminaMath-7B-TIR-IQ4_NL-GGUF
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This model was converted to GGUF format from [`AI-MO/NuminaMath-7B-TIR`](https://huggingface.co/AI-MO/NuminaMath-7B-TIR) using llama.cpp via the ggml.ai's [GGUF-my-repo](https://huggingface.co/spaces/ggml-org/gguf-my-repo) space.
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Refer to the [original model card](https://huggingface.co/AI-MO/NuminaMath-7B-TIR) for more details on the model.
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## Use with llama.cpp
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Install llama.cpp through brew (works on Mac and Linux)
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```bash
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brew install llama.cpp
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```
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Invoke the llama.cpp server or the CLI.
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### CLI:
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```bash
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llama-cli --hf-repo NikolayKozloff/NuminaMath-7B-TIR-IQ4_NL-GGUF --hf-file numinamath-7b-tir-iq4_nl-imat.gguf -p "The meaning to life and the universe is"
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```
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### Server:
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```bash
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llama-server --hf-repo NikolayKozloff/NuminaMath-7B-TIR-IQ4_NL-GGUF --hf-file numinamath-7b-tir-iq4_nl-imat.gguf -c 2048
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```
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Note: You can also use this checkpoint directly through the [usage steps](https://github.com/ggerganov/llama.cpp?tab=readme-ov-file#usage) listed in the Llama.cpp repo as well.
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Step 1: Clone llama.cpp from GitHub.
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```
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git clone https://github.com/ggerganov/llama.cpp
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```
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Step 2: Move into the llama.cpp folder and build it with `LLAMA_CURL=1` flag along with other hardware-specific flags (for ex: LLAMA_CUDA=1 for Nvidia GPUs on Linux).
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```
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cd llama.cpp && LLAMA_CURL=1 make
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```
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Step 3: Run inference through the main binary.
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```
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./llama-cli --hf-repo NikolayKozloff/NuminaMath-7B-TIR-IQ4_NL-GGUF --hf-file numinamath-7b-tir-iq4_nl-imat.gguf -p "The meaning to life and the universe is"
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```
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or
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```
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./llama-server --hf-repo NikolayKozloff/NuminaMath-7B-TIR-IQ4_NL-GGUF --hf-file numinamath-7b-tir-iq4_nl-imat.gguf -c 2048
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```
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