A Structured Attempt at a Polynomial-Time Solution to the Subset Sum Problem and Its Implications for P vs NP

<p dir="ltr">This work presents an original, structured polynomial-time algorithm to solve the NP-complete Subset Sum problem. By employing deterministic, non-recursive logic with downward anchoring and subset alignment, the proposed method avoids traditional exponential behaviors. T...

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Main Author: MInakshi Aggarwal (21677633) (author)
Published: 2025
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Summary:<p dir="ltr">This work presents an original, structured polynomial-time algorithm to solve the NP-complete Subset Sum problem. By employing deterministic, non-recursive logic with downward anchoring and subset alignment, the proposed method avoids traditional exponential behaviors. The manuscript includes theoretical formulation, Python implementation, verified output snapshots, and detailed analysis — aimed at opening fresh discourse on the P vs NP question. The work is shared as part of a larger scientific inquiry inviting scrutiny, feedback, and constructive engagement from the computational complexity community.</p>