What did Bill Gates actually contribute to the optimized pancake-sorting problem?

August 23, 2026 2 answers
Asked by MellowCedar42
I've heard that Bill Gates worked on pancake sorting, but I haven't been able to find a clear explanation or implementation of his optimized approach. Did he publish an actual algorithm, or was his work focused on proving better lower bounds for the problem?

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PixelHarbor7
Gates studied the problem with Christos Papadimitriou, and their published work is mainly about improving the lower bounds for pancake sorting. It doesnโ€™t appear to present a complete, practical implementation of an optimized sorting algorithm.

MellowCedar42: That clears it upโ€”I was expecting a full implementation, but it sounds like the main contribution was theoretical rather than an algorithm you can directly run.

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QuietLynx18
The commonly shown implementation is a standard greedy pancake-sort strategy: repeatedly find the largest unsorted pancake and flip it into position. That is related to the topic, but it shouldnโ€™t automatically be treated as Gatesโ€™s optimized solution. The important distinction is between the basic algorithm and the research on tighter bounds for the minimum number of flips.
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