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 problem was first discussed by American geometer Jacob E. Goodman.[1] A variant of the problem is concerned with burnt pancakes, where each pancake has a burnt side and all pancakes must, in addition, end up with the burnt side on bottom.
All sorting methods require pairs of elements to be compared. For the traditional sorting problem, the usual problem studied is to minimize the number of comparisons required to sort a list. The number of actual operations, such as swapping two elements, is then irrelevant. For pancake sorting problems, in contrast, the aim is to minimize the number of operations, where the only allowed operations are reversals of the elements of some prefix of the sequence. Now, the number of comparisons is irrelevant.
^Singh, Simon (November 14, 2013). "Flipping pancakes with mathematics". The Guardian. Retrieved March 25, 2014.
Pancakesorting 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...
sorted lists. Sorting is also often useful for canonicalizing data and for producing human-readable output. Formally, the output of any sorting algorithm...
by prefix reversals. Pancakesorting is the colloquial term for the mathematical problem of sorting a disordered stack of pancakes in order of size when...
A pancake (or hotcake, griddlecake, or flapjack) is a flat cake, often thin and round, prepared from a starch-based batter that may contain eggs, milk...
Science at Columbia University. Papadimitriou co-authored a paper on pancakesorting with Bill Gates, then a Harvard undergraduate. Papadimitriou recalled...
The Pancake Parlour is an Australian family-owned pancake restaurant chain, serving sweet and savoury pancakes and crepes with locations in Victoria. In...
2000 until his resignation in 2014. Gates devised an algorithm for pancakesorting as a solution to one of a series of unsolved problems presented in...
problem Non-interactive zero-knowledge proof Quantum coin flipping Pancakesorting Manuel Blum at the Mathematics Genealogy Project. ACM Turing Award...
add it to the end of the sorted list Smoothgamersort Other Bitonic sorterPancakesorting Spaghetti sort Topological sort Unknown class Samplesort Longest...
treat Mekupelet—a bar of thinly folded milk chocolate Pannekoek special—pancake or crêpe filled with Nutella chocolate spread and banana Pesek Zman—brand...
Sarva pindi (Telugu: సర్వపిండి) is a savory, circular-shaped pancake made from rice flour and peanuts in Telangana, India. In the Warangal district, the...
dish traditionally associated with Auvergne in France. It is a sort of thick pancake made with thinly sliced potatoes that are slowly cooked in goose...
often as part of the breakfast menu. The term can also refer to a sort of potato pancake. Another variant popular in the United Kingdom is prepared from...
computer science, the sorting numbers are a sequence of numbers introduced in 1950 by Hugo Steinhaus for the analysis of comparison sort algorithms. These...
also Korean pancake, in a narrower sense is a dish made by pan-frying in oil a thick batter with various ingredients into a thin flat pancake. In a wider...
avoidance, while the other operates the aircraft systems. This provides a sort of human redundancy which reduces the workload placed on any one crew member...
son-in-law. Lisa arrives to talk to Ben, and Jack invites her to stay for pancakes. 8 8 "Out of the Darkness" Dean Bennett Heather Conkie January 13, 2008 (2008-01-13)...
believed in God, he responded, "No. No, there's no God—but there might be some sort of an organizing intelligence, and I think to understand it is way beyond...
shaped into disks, and the kakiage are sometimes described as a "pancake" of sorts. It is also referred to as a type of "fritter". The recipe may call...
Mary refuses to inflate Connie's hours and insists she actually work by sorting through the church's large and messy donations room. Connie finds out George...
with a light and sweet flavor, similar to pancakes. Their appearance is much harder to achieve than a pancake's without a waffle iron. Similar technology...