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Making Combinatory: Map Search Algorithms

  • The article discusses the development of the Map Search Algorithm for the Combinatory video game, which involves swiping tiles to combine them using mathematical operations.
  • The provided function in the article's open-source paths.kt file details the algorithm for finding all possible values on a grid by moving in different directions and applying operations.
  • The algorithm utilizes coroutines for parallel processing and significantly decreases time complexity by pruning duplicate results.
  • The Combinatory map data is represented as a 2D Number Array, with 0 representing empty tiles, and the algorithm allows for shifts to decimal values based on operations.
  • The function has requirements such as non-empty Array rows/columns, valid starting coordinates, and a square grid structure.
  • Implementation of the algorithm includes the use of asynchronous channels, a visited set for coordinate tracking, and a final set for returning unique values.
  • The exploreValue function within the algorithm makes steps in random directions based on current values, ensuring recursive path exploration until options are exhausted.
  • The algorithm integrates Kotlin's Suspend functions to handle multiple paths concurrently and efficiently calculate all possible values on the grid.
  • Although designed for Combinatory, this algorithm serves as a performance example for implementing map search in Kotlin with 2D Arrays, applicable for various program mapping scenarios.
  • In conclusion, the Map Search Algorithm in the Combinatory Video Game provides a valuable framework for analyzing map data and can be adapted for usage in other applications.

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