Update README.md

README.md

@@ -15,13 +15,9 @@ size_categories:
 
 [![Paper](https://img.shields.io/badge/Paper-arXiv%3A2412.11908-B31B1B)](https://arxiv.org/abs/2412.11908)
 [![Hugging Face Dataset](https://img.shields.io/badge/Hugging%20Face-Dataset-blue)](https://huggingface.co/datasets/andynik/combi-puzzles)
-[![GitHub Repo](https://img.shields.io/badge/GitHub-Repo-181717?logo=github)](https://github.com/andynik/combi-puzzles)
+[![GitHub Repo](https://img.shields.io/badge/GitHub-Repository-181717?logo=github)](https://github.com/andynik/combi-puzzles)
 
-This repository contains the Combi-Puzzles dataset used in the research paper titled "Can Language Models Rival Mathematics Students? Evaluating Mathematical Reasoning through Textual Manipulation and Human Experiments."
-
-## Abstract
-
-In this study, we examine the ability of recent large language models (LLMs), including LLaMA-2, LLaMA-3.1, GPT-4, and Mixtral, in solving mathematical problems in combinatorics. We introduce the Combi-Puzzles dataset, consisting of 125 problem variants derived from 25 core combinatorial problems, to facilitate these comparisons. The dataset assesses the generalizability of LLMs and includes variations like adversarial, parameterization, and linguistic obfuscation to test models and humans alike.
+This repository contains the Combi-Puzzles dataset used in the research paper titled "Can Language Models Rival Mathematics Students? Evaluating Mathematical Reasoning through Textual Manipulation and Human Experiments." These variations are designed to evaluate problem-solving strategies across different formats.
 
 ## Dataset Description
 
@@ -34,15 +30,33 @@ The Combi-Puzzles dataset includes:
   - **Parameterisation**: Altered numerical parameters.
   - **Linguistic Obfuscation**: Narrative fictional stories with problem context.
 
-These variations are designed to thoroughly evaluate problem-solving strategies across different formats.
+## JSON file structure
+
+| Field                          | Type                    | Description                                                                                       |
+|--------------------------------|-------------------------|---------------------------------------------------------------------------------------------------|
+| `id`                           | integer                 | Unique identifier for this problem entry.                                                         |
+| `versions`                     | array of object         | All textual variants of the problem.                                                              |
+| `versions[].version`           | string                  | Label for the problem variant.                                                                    |
+| `versions[].problem_statement` | string                  | The problem text or template; may contain `$paramX$` placeholders.                                |
+| `parameters`                   | array of object         | Concrete parameter-sets to fill into templates in some versions.                                  |
+| `parameters[].group_id`        | integer                 | Identifier grouping together one set of `param1`–`param4` values (if present).                    |
+| `parameters[].param1`          | integer or string       | First placeholder value.                                                                          |
+| `parameters[].param2`          | integer or string       | Second placeholder value.                                                                         |
+| `parameters[].param3`          | integer or string       | Third placeholder value.                                                                          |
+| `parameters[].param4`          | integer or string       | Fourth placeholder value.                                                                         |
+
+
+## Problem Example
+
+![Problem Example](images/p10.png)
 
 ## Additional Information
 
-The Combi-Puzzles dataset contains problems that have parameters expressed in string format (e.g. 12 as "twelve"). These problems are identified as:
+The Combi-Puzzles dataset contains problems that have parameters expressed in string format (e.g. 12 as "twelve"):
 
 - **Problems' ID with String Parameters**: 6, 12, 19, 20.
 
-Please note that all parameters are stored as `strings` in the dataset to ensure consistency.
+Please note that all parameters are stored as `strings` in the dataset.
 
 ## Usage