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No free lunch theorem
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==Example== Posit a toy universe that exists for exactly two days and on each day contains exactly one object: a square or a triangle. The universe has exactly four possible histories: # (square, triangle): the universe contains a square on day 1, and a triangle on day 2 # (square, square) # (triangle, triangle) # (triangle, square) Any prediction strategy that succeeds for history #2, by predicting a square on day 2 if there is a square on day 1, will fail on history #1, and vice versa. If all histories are equally likely, then any prediction strategy will score the same, with the same accuracy rate of 0.5.<ref>{{Cite journal |last=Forster |first=Malcolm R. |date=1999 |journal=Minds and Machines |volume=9 |issue=4 | title=How do Simple Rules 'Fit to Reality' in a Complex World? |pages=543β564 |doi=10.1023/A:1008304819398 |s2cid=8802657}}</ref>
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