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  2. CFOP method - Wikipedia

    en.wikipedia.org/wiki/CFOP_method

    Cube mid-solve on the OLL step. The CFOP method (Cross – F2L (first 2 layers) – OLL (orientate last layer) – PLL (permutate last layer)), also known as the Fridrich method, is one of the most commonly used methods in speedsolving a 3×3×3 Rubik's Cube. It is one of the fastest methods with the other most notable ones being Roux and ZZ.

  3. Optimal solutions for the Rubik's Cube - Wikipedia

    en.wikipedia.org/wiki/Optimal_solutions_for_the...

    A randomly scrambled Rubik's Cube will most likely be optimally solvable in 18 moves (~ 67.0%), 17 moves (~ 26.7%), 19 moves (~ 3.4%) or 16 moves (~ 2.6%) in HTM. [4] By the same token, it is estimated that there is only 1 configuration which needs 20 moves to be solved optimally in almost 90×10 9, or 90 billion, random scrambles. The exact ...

  4. Speedcubing - Wikipedia

    en.wikipedia.org/wiki/Speedcubing

    Additionally, specialized formats such as 3×3, 4×4, and 5×5 blindfolded, 3×3 one-handed, 3×3 Fewest Moves, and 3×3 multi-blind are also regulated and hosted in competitions. [ 1 ] As of February 2025, the world record for the fastest single solve of a Rubik's cube in a competitive setting stands at 3.134 seconds.

  5. Four glasses puzzle - Wikipedia

    en.wikipedia.org/wiki/Four_glasses_puzzle

    In step 3, if a glass is face down, it is turned face up; otherwise, either glass is turned face down. The four glasses puzzle , also known as the blind bartender's problem , [ 1 ] is a logic puzzle first publicised by Martin Gardner in his "Mathematical Games" column in the February 1979 edition of Scientific American .

  6. How to Solve It - Wikipedia

    en.wikipedia.org/wiki/How_to_Solve_It

    Pólya mentions that there are many reasonable ways to solve problems. [3] The skill at choosing an appropriate strategy is best learned by solving many problems. You will find choosing a strategy increasingly easy. A partial list of strategies is included: Guess and check [9] Make an orderly list [10] Eliminate possibilities [11] Use symmetry [12]

  7. Sudoku solving algorithms - Wikipedia

    en.wikipedia.org/wiki/Sudoku_solving_algorithms

    A Sudoku starts with some cells containing numbers (clues), and the goal is to solve the remaining cells. Proper Sudokus have one solution. [1] Players and investigators use a wide range of computer algorithms to solve Sudokus, study their properties, and make new puzzles, including Sudokus with interesting symmetries and other properties.

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  9. Monty Hall problem - Wikipedia

    en.wikipedia.org/wiki/Monty_Hall_problem

    If the car is behind door 1, the host can open either door 2 or door 3, so the probability that the car is behind door 1 and the host opens door 3 is ⁠ 1 / 3 ⁠ × ⁠ 1 / 2 ⁠ = ⁠ 1 / 6 ⁠. If the car is behind door 2 – with the player having picked door 1 – the host must open door 3, such the probability that the car is behind door ...