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93-move solution found for complex crystal-exchange puzzle

Researchers have developed an exact 93-move solution for a complex crystal-exchange puzzle presented in the game Order of the Sinking Star. This solution was found using a cost-bounded breadth-first search that explored over 1.8 billion states. The puzzle involves manipulating crystals on an 11x11 board using directional commands, with specific conditions for player entry and exit. The study provides a computer-assisted proof for this specific puzzle instance, including source code and detailed computation logs. AI

IMPACT This research demonstrates advanced computational problem-solving techniques applicable to complex combinatorial puzzles.

RANK_REASON The cluster contains an academic paper detailing a computational solution to a complex puzzle. [lever_c_demoted from research: ic=1 ai=0.7]

Read on arXiv cs.AI →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

93-move solution found for complex crystal-exchange puzzle

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4 / 100
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The cluster contains an academic paper detailing a computational solution to a complex puzzle. [lever_c_demoted from research: ic=1 ai=0.7]
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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Zilai Wang ·

    An Exact 93-Move Solution to a Nonlocal Crystal-Exchange Puzzle

    arXiv:2610.29493v1 Announce Type: new Abstract: We determine the minimum number of directional commands needed to solve alevel of Order of the Sinking Star, modeled as a crystal-exchangepuzzle on an 11*11 board. A command swapsthe player with the nearest crystal in the selected r…