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Bibliographic Details
Main Author: 福永, 大河
Format: Recurso digital
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Published: Zenodo 2026
Online Access:https://doi.org/10.5281/zenodo.18374114
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Table of Contents:
  • <p>This paper presents a deterministic, polynomial-time algorithm (Hierarchical Carry Reduction: HCR) for the Subset Sum Problem, a classic NP-complete problem. By mapping integer sets into a vector space and analyzing carry transitions across hierarchical layers, we demonstrate that the number of active states is strictly bounded by O(n).</p>