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------------------- MUNCHAUSEN NUMBER ? --------------------
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-- isMunchausen :: Int -> Bool
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on isMunchausen(n)
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-- digitPowerSum :: Int -> Character -> Int
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script digitPowerSum
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on |λ|(a, c)
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set d to c as integer
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a + (d ^ d)
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end |λ|
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end script
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(class of n is integer) and ¬
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n = foldl(digitPowerSum, 0, characters of (n as string))
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end isMunchausen
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--------------------------- TEST ---------------------------
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on run
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filter(isMunchausen, enumFromTo(1, 5000))
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--> {1, 3435}
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end run
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-------------------- GENERIC FUNCTIONS ---------------------
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-- enumFromTo :: Int -> Int -> [Int]
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on enumFromTo(m, n)
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if m ≤ n then
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set lst to {}
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repeat with i from m to n
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set end of lst to i
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end repeat
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lst
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else
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{}
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end if
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end enumFromTo
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-- filter :: (a -> Bool) -> [a] -> [a]
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on filter(p, xs)
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tell mReturn(p)
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set lst to {}
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set lng to length of xs
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repeat with i from 1 to lng
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set v to item i of xs
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if |λ|(v, i, xs) then set end of lst to v
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end repeat
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return lst
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end tell
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end filter
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-- foldl :: (a -> b -> a) -> a -> [b] -> a
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on foldl(f, startValue, xs)
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tell mReturn(f)
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set v to startValue
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set lng to length of xs
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repeat with i from 1 to lng
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set v to |λ|(v, item i of xs, i, xs)
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end repeat
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return v
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end tell
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end foldl
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-- Lift 2nd class handler function into 1st class script wrapper
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-- mReturn :: Handler -> Script
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on mReturn(f)
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if class of f is script then
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f
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else
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script
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property |λ| : f
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end script
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end if
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end mReturn
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{1, 3435}
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set MunchhausenNumbers to {}
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repeat with i from 1 to 5000
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if (i > 0) then
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set n to i
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set s to 0
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repeat until (n is 0)
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tell n mod 10 to set s to s + it ^ it
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set n to n div 10
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end repeat
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if (s = i) then set end of MunchhausenNumbers to i
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end if
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end repeat
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return MunchhausenNumbers
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@ -0,0 +1 @@
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{1, 3435}
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