Abstract
Candy Crush Saga (CCS) is a mobile game released in 2012. Based on a specific game-play, it was proven to be NP-complete in 2014. The 15-slide puzzle is also a classic game that has been proven to be NP-complete. In 2012, a brand new ball-spinning game called Puzzle and Dragons emerged. Puzzle and Dragons (PAD) combines the three-elimination game-play of Candy Crush Saga and the 15-puzzle. This study developed a construction and proved that under certain rules, PAD can be reduced to a one-in-three positive Boolean satisfiability problem (1-3-SAT+), which also proves that PAD is NP-Hard.
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