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  2. List of impossible puzzles - Wikipedia

    en.wikipedia.org/wiki/List_of_impossible_puzzles

    It is impossible to solve in half of the starting positions. [1] Five room puzzle – Cross each wall of a diagram exactly once with a continuous line. [2] MU puzzle – Transform the string MI to MU according to a set of rules. [3] Mutilated chessboard problem – Place 31 dominoes of size 2×1 on a chessboard with two opposite corners removed ...

  3. Four fours - Wikipedia

    en.wikipedia.org/wiki/Four_fours

    For example, when d=4, the hash table for two occurrences of d would contain the key-value pair 8 and 4+4, and the one for three occurrences, the key-value pair 2 and (4+4)/4 (strings shown in bold). The task is then reduced to recursively computing these hash tables for increasing n , starting from n=1 and continuing up to e.g. n=4.

  4. Solved game - Wikipedia

    en.wikipedia.org/wiki/Solved_game

    A solved game is a game whose outcome (win, lose or draw) can be correctly predicted from any position, assuming that both players play perfectly.This concept is usually applied to abstract strategy games, and especially to games with full information and no element of chance; solving such a game may use combinatorial game theory or computer assistance.

  5. Logic puzzle - Wikipedia

    en.wikipedia.org/wiki/Logic_puzzle

    The logic puzzle was first produced by Charles Lutwidge Dodgson, who is better known under his pen name Lewis Carroll, the author of Alice's Adventures in Wonderland.In his book The Game of Logic he introduced a game to solve problems such as confirming the conclusion "Some greyhounds are not fat" from the statements "No fat creatures run well" and "Some greyhounds run well". [1]

  6. Mathematics of Sudoku - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_Sudoku

    The general problem of solving Sudoku puzzles on n 2 ×n 2 grids of n×n blocks is known to be NP-complete. [8] A puzzle can be expressed as a graph coloring problem. [9] The aim is to construct a 9-coloring of a particular graph, given a partial 9-coloring. The Sudoku graph has 81 vertices, one vertex for each cell.

  7. Speedcubing - Wikipedia

    en.wikipedia.org/wiki/Speedcubing

    In 3×3×3 blindfolded and 3×3×3 fewest moves challenges, either a straight mean of 3 or the best of 3 is used, while 4×4×4 blindfolded, 5×5×5 blindfolded, and multiple blindfolded challenges are ranked using the best of 1, 2 or 3, depending on the competition. When a round begins, competitors turn in the puzzle they will use.

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