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Task/McNuggets-problem/AppleScript/mcnuggets-problem.applescript
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177
Task/McNuggets-problem/AppleScript/mcnuggets-problem.applescript
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@ -0,0 +1,177 @@
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use AppleScript version "2.4"
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use framework "Foundation"
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use scripting additions
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on run
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set setNuggets to mcNuggetSet(100, 6, 9, 20)
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script isMcNugget
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on |λ|(x)
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setMember(x, setNuggets)
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end |λ|
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end script
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set xs to dropWhile(isMcNugget, enumFromThenTo(100, 99, 1))
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set setNuggets to missing value -- Clear ObjC pointer value
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if 0 < length of xs then
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item 1 of xs
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else
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"No unreachable quantities in this range"
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end if
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end run
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-- mcNuggetSet :: Int -> Int -> Int -> Int -> ObjC Set
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on mcNuggetSet(n, mcx, mcy, mcz)
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set upTo to enumFromTo(0)
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script fx
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on |λ|(x)
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script fy
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on |λ|(y)
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script fz
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on |λ|(z)
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set v to sum({mcx * x, mcy * y, mcz * z})
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if 101 > v then
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{v}
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else
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{}
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end if
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end |λ|
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end script
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concatMap(fz, upTo's |λ|(n div mcz))
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end |λ|
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end script
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concatMap(fy, upTo's |λ|(n div mcy))
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end |λ|
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end script
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setFromList(concatMap(fx, upTo's |λ|(n div mcx)))
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end mcNuggetSet
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-- GENERIC FUNCTIONS ----------------------------------------------------
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-- concatMap :: (a -> [b]) -> [a] -> [b]
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on concatMap(f, xs)
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set lng to length of xs
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set acc to {}
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tell mReturn(f)
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repeat with i from 1 to lng
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set acc to acc & |λ|(item i of xs, i, xs)
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end repeat
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end tell
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return acc
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end concatMap
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-- drop :: Int -> [a] -> [a]
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-- drop :: Int -> String -> String
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on drop(n, xs)
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set c to class of xs
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if c is not script then
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if c is not string then
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if n < length of xs then
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items (1 + n) thru -1 of xs
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else
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{}
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end if
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else
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if n < length of xs then
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text (1 + n) thru -1 of xs
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else
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""
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end if
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end if
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else
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take(n, xs) -- consumed
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return xs
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end if
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end drop
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-- dropWhile :: (a -> Bool) -> [a] -> [a]
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-- dropWhile :: (Char -> Bool) -> String -> String
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on dropWhile(p, xs)
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set lng to length of xs
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set i to 1
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tell mReturn(p)
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repeat while i ≤ lng and |λ|(item i of xs)
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set i to i + 1
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end repeat
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end tell
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drop(i - 1, xs)
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end dropWhile
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-- enumFromThenTo :: Int -> Int -> Int -> [Int]
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on enumFromThenTo(x1, x2, y)
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set xs to {}
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repeat with i from x1 to y by (x2 - x1)
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set end of xs to i
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end repeat
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return xs
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end enumFromThenTo
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-- enumFromTo :: Int -> Int -> [Int]
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on enumFromTo(m)
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script
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on |λ|(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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return lst
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else
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return {}
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end if
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end |λ|
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end script
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end enumFromTo
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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 :: First-class m => (a -> b) -> m (a -> b)
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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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-- sum :: [Num] -> Num
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on sum(xs)
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script add
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on |λ|(a, b)
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a + b
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end |λ|
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end script
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foldl(add, 0, xs)
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end sum
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-- NB All names of NSMutableSets should be set to *missing value*
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-- before the script exits.
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-- ( scpt files can not be saved if they contain ObjC pointer values )
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-- setFromList :: Ord a => [a] -> Set a
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on setFromList(xs)
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set ca to current application
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ca's NSMutableSet's ¬
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setWithArray:(ca's NSArray's arrayWithArray:(xs))
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end setFromList
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-- setMember :: Ord a => a -> Set a -> Bool
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on setMember(x, objcSet)
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missing value is not (objcSet's member:(x))
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end setMember
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