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let fib = function
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| n when n < 0 -> None
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| n -> let rec fib2 = function
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| 0 | 1 -> 1
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| n -> fib2 (n-1) + fib2 (n-2)
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in Some (fib2 n)
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let rec fix f x = f (fix f) x
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let fib = function
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| n when n < 0 -> None
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| n -> Some (fix (fun f -> (function | 0 | 1 -> 1 | n -> f (n-1) + f (n-2))) n)
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[-1..5] |> List.map fib |> printfn "%A"
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[null; Some 1; Some 1; Some 2; Some 3; Some 5; Some 8]
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