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    Pancake sorting - Wikipedia

    Pancake sorting is the mathematical problem of sorting a disordered stack of pancakes in order of size when a spatula can be inserted at any point in the stack and used to flip all pancakes above it. A pancake number is the minimum number of flips required for a given number of pancakes. In this form, the … See more

    The original pancake problem
    The minimum number of flips required to sort any stack of n pancakes has been shown to lie between 15/14n and 18/11n (approximately 1.07n and 1.64n), but the exact value is not … See more

    The discussion above presumes that each pancake is unique, that is, the sequence on which the prefix reversals are performed is a See more

    An n-pancake graph is a graph whose vertices are the permutations of n symbols from 1 to n and its edges are given between … See more

    Number of stacks of given height n that require unique flips k to get sorted Height n k 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 1 2 1 1 3 1 2 2 1 4 1 3 6 11 3 5 1 4 12 35 48 20 6 1 5 20 79 199 … See more

    Pancake graphs image

    The pancake sorting problem was first posed by Jacob E. Goodman, writing under the pseudonym "Harry Dweighter" ("harried waiter"). See more

    An example of the pancake sorting algorithm is given below in Python. The code is similar to bubble sort or selection sort See more

    • Chitturi, B.; Sudborough, H. (2010). "Prefix Reversals on Strings". Proceedings of the International Conference on Bioinformatics & … See more

     
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  3. Bill Gates and the Pancake Problem | OpenMind´s …

    WEBJul 16, 2018 · The only math paper known to be published by Bill Gates is the one trying to solve the 🥞'Pancake Problem' 🥞. Can you solve it too?

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    • Pancake sorting - GeeksforGeeks

    • "The Pancake Problems"

    • Bill Gates’s pancake problem – and three more …

      WEBMar 4, 2019 · Sorting a stack of pancakes by size is a vexing challenge for mathematicians, but Microsoft's Bill Gates came up with an enduring solution.

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    • Pancake Sorting -- from Wolfram MathWorld

    • Flipping Pancakes – MathCommunities.org

      WEBThe Pancake Problem is a sorting problem with connections to computer science and DNA rearrangements, which leads to discussions of algorithms, sequences, and the usefulness of ap proximations and bounds.

    • Flipping Pancakes – MathCircles.org

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