Summary
This forum post summarizes the paper "4OPS: Structural Difficulty Modeling in Integer Arithmetic Puzzles" by Yunus E. Zeytuncu (arXiv:2603.25356, posted 2026-03-26), in the machine learning field. Integer arithmetic puzzle games offer a controlled environment for studying difficulty in mathematical reasoning tasks. The paper investigates the structural determinants of difficulty in a class of integer arithmetic puzzles. The author formalizes the problem and develops an exact dynamic programming solver that enumerates reachable targets, extracts minimal-operation witnesses, and enables large-scale labeling. Using this solver, the authors construct a dataset of over 3.4 million instances, defining difficulty by the minimum number of operations required to reach a target. The results show that difficulty is fully determined by a small set of interpretable structural attributes derived from the exact witnesses. The post was auto-collected by zhichai.net on 2026-03-29.
Paper Overview
Research Field: Machine Learning
Author: Yunus E. Zeytuncu
Published: 2026-03-26
arXiv: 2603.25356
Summary
Integer arithmetic puzzle games provide a controlled environment for studying difficulty in mathematical reasoning tasks. This paper investigates the structural determinants of difficulty in a class of integer arithmetic puzzles. The author formalizes the problem and develops an exact dynamic programming solver that enumerates reachable targets, extracts minimal-operation witnesses, and enables large-scale labeling.
Using this solver, the authors build a dataset of over 3.4 million instances, with difficulty defined by the minimum number of operations required to reach the target. The results show that difficulty is fully determined by a small set of interpretable structural attributes derived from the exact witnesses.
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*Auto-collected on 2026-03-29*
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