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The 15 puzzle (also called Gem Puzzle, Boss Puzzle, Game of Fifteen, Mystic Square and more) is a sliding puzzle. It has 15 square tiles numbered 1 to 15 in a frame that is 4 tile positions high and 4 tile positions wide, with one unoccupied position.
The game tree size is the total number of possible games that can be played: the number of leaf nodes in the game tree rooted at the game's initial position.. The game tree is typically vastly larger than the state space because the same positions can occur in many games by making moves in a different order (for example, in a tic-tac-toe game with two X and one O on the board, this position ...
The higher the branching factor, the faster this "explosion" occurs. The branching factor can be cut down by a pruning algorithm. The average branching factor can be quickly calculated as the number of non-root nodes (the size of the tree, minus one; or the number of edges) divided by the number of non-leaf nodes (the number of nodes with ...
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[27] [5] Around 2000, educator Terry Kawas developed teaching materials for a similar variant called Factor Blaster which was later uploaded to Mathwire, a math education resource website. [28] [6] [29] In 1985, Dr. Factor appeared as one of four games in Playing To Learn by Antonia Stone, Joshua Abrams, and Ihor Charischak of HRM Software. [30 ...
The complete game tree for a game is the game tree starting at the initial position and containing all possible moves from each position; the complete tree is the same tree as that obtained from the extensive-form game representation. To be more specific, the complete game is a norm for the game in game theory.
Math Rescue is a 1992 educational platform game created by Karen Crowther of Redwood Games and published by Apogee Software. Its early pre-release title was "Number Rescue". [ 1 ] Released in October 1992 for the MS-DOS platform, it is a loose successor to the earlier game Word Rescue , whose game engine was used to power the new game with ...
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