Scientific paper ID 2490 : 2024/3 FINDING SEQUENTIAL MOVES FOR SOLUTION OF COMBINATION PUZZLEPetar Tomov1, Iliyan Zankinski1, Todor Balabanov2 The challenge in solving combination puzzles like the Rubik”s Cube and Hungarian Rings lies in figuring out the correct sequence of moves to achieve a specific goal. These puzzles start in a state where the elements (such as colored stickers or rings) are complex and seemingly random. The goal is to rearrange them into a specific pattern or configuration. The puzzle is solved by manipulating the elements through various moves. For example, they are turning different layers of the Rubik”s Cube or repositioning rings in the Hungarian Rings. Each move has a specific effect on the puzzle”s configuration. Solvers often go through trial and error, trying different sequences of moves to see their effects. The solution involves a combination of spatial reasoning, pattern recognition, and strategic thinking. Advanced solvers often use algorithm-specific sequences of moves designed to achieve a particular result. These algorithms are developed through experience and analysis of the puzzle”s mechanics. Efficient solving involves reaching the solution and doing so with the fewest possible moves. Speedcubers, for instance, aim to solve the Rubik”s Cube in the shortest time using optimized algorithms. To memorize algorithms, solvers may employ logical deduction to analyze the puzzle”s state and make informed decisions about the next moves. This research investigates general-purpose formulas for a puzzle called Fish Rings. комбинаторни пъзели формални граматики генериране на формулиcombination puzzle formal grammars formulas generationPetar Tomov Iliyan Zankinski Todor BalabanovBIBLIOGRAPHY[1] Balabanov, T., Fish Rings, Velbazhd Software LLC, 2015, https://play.google.com/store/apps/details?... [2] Slocum, J., Sonneveld, D., The 15 Puzzle : How it Drove the World Crazy, ISBN 1890980153 [3] Balabanov, T., Fish Rings Puzzle Formula Generator, ResearchGate GmbH, 2024, DOI: http://doi.org/10.13140/RG.2.2.14834.89289 ... [4] Balabanov, T., List of Formulas for Fish Rings Puzzle which Change Only Two Pieces - Length of the Formulas from Four to Seven, ResearchGate GmbH, 2024, DOI: http://doi.org/10.13140/RG.2.2.25609.01120

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