gps1 :: Int -> Float -> Float
-- testing 4 combinations of argument values
-- pruning with 0/5 rules
-- 1 candidates of size 1
-- 1 candidates of size 2
-- 1 candidates of size 3
-- 2 candidates of size 4
-- tested 4 candidates
gps1 x y  =  fromIntegral x + y

gps2 :: Int -> Maybe [Char]
-- testing 6 combinations of argument values
-- pruning with 9/17 rules
-- 1 candidates of size 1
-- 2 candidates of size 2
-- 3 candidates of size 3
-- 2 candidates of size 4
-- 2 candidates of size 5
-- 0 candidates of size 6
-- 32 candidates of size 7
-- 32 candidates of size 8
-- 48 candidates of size 9
-- 32 candidates of size 10
-- 16 candidates of size 11
-- 512 candidates of size 12
-- 1408 candidates of size 13
-- tested 1171 candidates
gps2 x  =  if 2000 <= x
           then Just "large"
           else if x < 1000 then Just "small" else Nothing

gps3 :: Int -> Int -> Int -> [Int]
-- testing 2 combinations of argument values
-- pruning with 11/33 rules
-- 0 candidates of size 1
-- 0 candidates of size 2
-- 0 candidates of size 3
-- 64 candidates of size 4
-- 0 candidates of size 5
-- 1248 candidates of size 6
-- 0 candidates of size 7
-- 17008 candidates of size 8
-- tested 12358 candidates
gps3 x y z  =  enumFromThenTo x (x + z) (y - 1)

gps3 :: Int -> Int -> Int -> [Int]
-- testing 2 combinations of argument values
-- pruning with 6/18 rules
-- 1 candidates of size 1
-- 0 candidates of size 2
-- 3 candidates of size 3
-- 0 candidates of size 4
-- 15 candidates of size 5
-- 0 candidates of size 6
-- 81 candidates of size 7
-- 36 candidates of size 8
-- tested 136 candidates
cannot conjure

gps4 :: [Char] -> [Char] -> [Char] -> Bool
-- testing 9 combinations of argument values
-- pruning with 11/15 rules
-- 0 candidates of size 1
-- 0 candidates of size 2
-- 0 candidates of size 3
-- 0 candidates of size 4
-- 6 candidates of size 5
-- 0 candidates of size 6
-- 0 candidates of size 7
-- 0 candidates of size 8
-- 51 candidates of size 9
-- 0 candidates of size 10
-- 15 candidates of size 11
-- tested 60 candidates
gps4 cs ds es  =  length cs < length ds && length ds < length es

gps5 :: [Char] -> [Char]
-- testing 5 combinations of argument values
-- pruning with 2/3 rules
-- 2 candidates of size 1
-- 0 candidates of size 2
-- 2 candidates of size 3
-- 0 candidates of size 4
-- 4 candidates of size 5
-- 0 candidates of size 6
-- tested 8 candidates
cannot conjure

gps6 :: Int -> Int
-- testing 9 combinations of argument values
-- pruning with 16/18 rules
-- 4 candidates of size 1
-- 2 candidates of size 2
-- 14 candidates of size 3
-- 14 candidates of size 4
-- 186 candidates of size 5
-- 165 candidates of size 6
-- tested 385 candidates
cannot conjure

gps7 :: [Char] -> ([Char],Int)
-- testing 4 combinations of argument values
-- pruning with 5/10 rules
-- 0 candidates of size 1
-- 0 candidates of size 2
-- 0 candidates of size 3
-- 1 candidates of size 4
-- 2 candidates of size 5
-- 7 candidates of size 6
-- 16 candidates of size 7
-- 39 candidates of size 8
-- 88 candidates of size 9
-- 201 candidates of size 10
-- 442 candidates of size 11
-- tested 546 candidates
gps7 cs  =  (init (unlines (words cs)),length (filter (not . isSpace) cs))

gps8 :: [Char] -> [Char] -> [(Int,Char,Char)]
-- testing 3 combinations of argument values
-- pruning with 0/0 rules
-- 0 candidates of size 1
-- 0 candidates of size 2
-- 0 candidates of size 3
-- 0 candidates of size 4
-- tested 0 candidates
cannot conjure

gps9 :: Int -> [Int]
-- testing 3 combinations of argument values
-- pruning with 13/14 rules
-- 0 candidates of size 1
-- 0 candidates of size 2
-- 4 candidates of size 3
-- 4 candidates of size 4
-- 10 candidates of size 5
-- 21 candidates of size 6
-- 30 candidates of size 7
-- 77 candidates of size 8
-- 134 candidates of size 9
-- 245 candidates of size 10
-- tested 306 candidates
gps9 x  =  filter even (filter (x >) (map sq [1..x]))

wallisNext :: Ratio Integer -> Ratio Integer
-- testing 6 combinations of argument values
-- pruning with 37/64 rules
-- 1 candidates of size 1
-- 0 candidates of size 2
-- 3 candidates of size 3
-- 0 candidates of size 4
-- 4 candidates of size 5
-- 0 candidates of size 6
-- 5 candidates of size 7
-- 1 candidates of size 8
-- tested 14 candidates
wallisNext (x % y)  =  (y + 1) % (x + 1)

wallisNext :: Ratio Integer -> Ratio Integer
-- testing 6 combinations of argument values
-- pruning with 15/26 rules
-- 1 candidates of size 1
-- 0 candidates of size 2
-- 4 candidates of size 3
-- 0 candidates of size 4
-- 3 candidates of size 5
-- 0 candidates of size 6
-- 5 candidates of size 7
-- 1 candidates of size 8
-- tested 14 candidates
wallisNext (x % y)  =  (y + 1) % (x + 1)

gps10 :: Int -> Ratio Integer
-- testing 6 combinations of argument values
-- pruning with 3/4 rules
-- 0 candidates of size 1
-- 0 candidates of size 2
-- 3 candidates of size 3
-- 3 candidates of size 4
-- 2 candidates of size 5
-- 5 candidates of size 6
-- 8 candidates of size 7
-- 13 candidates of size 8
-- tested 33 candidates
gps10 x  =  product (take x (iterate wallisNext (2 % 3)))

gps11 :: [[Char]] -> [Int]
-- testing 4 combinations of argument values
-- pruning with 1/1 rules
-- 0 candidates of size 1
-- 0 candidates of size 2
-- 1 candidates of size 3
-- 1 candidates of size 4
-- tested 2 candidates
gps11 css  =  reverse (map length css)

gps11 :: [[Char]] -> [Int]
-- testing 4 combinations of argument values
-- pruning with 4/4 rules
-- 1 candidates of size 1
-- 0 candidates of size 2
-- 0 candidates of size 3
-- 0 candidates of size 4
-- 0 candidates of size 5
-- 2 candidates of size 6
-- 0 candidates of size 7
-- 1 candidates of size 8
-- tested 4 candidates
gps11 []  =  []
gps11 (cs:css)  =  gps11 css ++ [length cs]

gps12 :: [Int] -> Int
-- testing 6 combinations of argument values
-- pruning with 13/27 rules
-- 2 candidates of size 1
-- 1 candidates of size 2
-- 0 candidates of size 3
-- 3 candidates of size 4
-- 12 candidates of size 5
-- 13 candidates of size 6
-- 65 candidates of size 7
-- 102 candidates of size 8
-- 416 candidates of size 9
-- 956 candidates of size 10
-- 3073 candidates of size 11
-- tested 4404 candidates
gps12 xs  =  (length xs - fromJust (findIndex (0 ==) (reverse xs))) - 1

gps13 :: [Ratio Integer] -> Ratio Integer
-- testing 3 combinations of argument values
-- pruning with 4/8 rules
-- 1 candidates of size 1
-- 0 candidates of size 2
-- 2 candidates of size 3
-- 2 candidates of size 4
-- 9 candidates of size 5
-- 12 candidates of size 6
-- 67 candidates of size 7
-- 97 candidates of size 8
-- tested 179 candidates
gps13 qs  =  foldr (+) 0 qs / fromIntegral (length qs)

odd :: Int -> Bool
-- testing 6 combinations of argument values
-- pruning with 12/13 rules
-- 0 candidates of size 1
-- 0 candidates of size 2
-- 3 candidates of size 3
-- 2 candidates of size 4
-- 37 candidates of size 5
-- tested 17 candidates
odd x  =  0 /= x `mod` 2

gps14 :: [Int] -> Int
-- testing 3 combinations of argument values
-- pruning with 1/1 rules
-- 0 candidates of size 1
-- 1 candidates of size 2
-- 0 candidates of size 3
-- 1 candidates of size 4
-- tested 2 candidates
gps14 xs  =  length (filter odd xs)

gps14 :: [Int] -> Int
-- testing 3 combinations of argument values
-- pruning with 39/58 rules
-- 3 candidates of size 1
-- 0 candidates of size 2
-- 0 candidates of size 3
-- 0 candidates of size 4
-- 30 candidates of size 5
-- 6 candidates of size 6
-- 345 candidates of size 7
-- tested 83 candidates
gps14 []  =  0
gps14 (x:xs)  =  x + gps14 xs `mod` 2

gps15 :: [Int] -> [Int] -> Bool
-- testing 5 combinations of argument values
-- pruning with 3/7 rules
-- 0 candidates of size 1
-- 0 candidates of size 2
-- 1 candidates of size 3
-- 4 candidates of size 4
-- tested 3 candidates
gps15 xs ys  =  xs == reverse ys

gps16 :: [Char] -> [Char] -> Bool
-- testing 6 combinations of argument values
-- pruning with 3/3 rules
-- 0 candidates of size 1
-- 0 candidates of size 2
-- 2 candidates of size 3
-- 6 candidates of size 4
-- 2 candidates of size 5
-- tested 9 candidates
gps16 cs ds  =  sort cs `isSubsequenceOf` sort ds

gps17 :: Int -> Int
-- testing 4 combinations of argument values
-- pruning with 27/65 rules
-- 3 candidates of size 1
-- 3 candidates of size 2
-- 7 candidates of size 3
-- 8 candidates of size 4
-- 28 candidates of size 5
-- 35 candidates of size 6
-- 167 candidates of size 7
-- 203 candidates of size 8
-- 1048 candidates of size 9
-- tested 466 candidates
gps17 0  =  0
gps17 x  =  gps17 (x - 1) + x * x

gps18 :: [Int] -> [Int] -> [Int]
-- testing 3 combinations of argument values
-- pruning with 2/6 rules
-- 3 candidates of size 1
-- 0 candidates of size 2
-- 0 candidates of size 3
-- 10 candidates of size 4
-- 25 candidates of size 5
-- 34 candidates of size 6
-- 138 candidates of size 7
-- 126 candidates of size 8
-- 743 candidates of size 9
-- tested 767 candidates
gps18 [] xs  =  xs
gps18 (x:xs) []  =  xs
gps18 (x:xs) (y:ys)  =  x + y:gps18 xs ys

gps18 :: [Int] -> [Int] -> [Int]
-- testing 3 combinations of argument values
-- pruning with 2/7 rules
-- 2 candidates of size 1
-- 0 candidates of size 2
-- 0 candidates of size 3
-- 10 candidates of size 4
-- tested 10 candidates
gps18 xs ys  =  zipWith (+) xs ys

gps19 :: Int -> [Char] -> [Char]
-- testing 2 combinations of argument values
-- pruning with 0/0 rules
-- 1 candidates of size 1
-- 0 candidates of size 2
-- tested 1 candidates
cannot conjure

isVowel :: Char -> Bool
-- testing 12 combinations of argument values
-- pruning with 0/0 rules
-- 2 candidates of size 1
-- 1 candidates of size 2
-- 1 candidates of size 3
-- 2 candidates of size 4
-- 2 candidates of size 5
-- 3 candidates of size 6
-- 4 candidates of size 7
-- 4 candidates of size 8
-- 4 candidates of size 9
-- 5 candidates of size 10
-- 5 candidates of size 11
-- 5 candidates of size 12
-- 5 candidates of size 13
-- 4 candidates of size 14
-- 4 candidates of size 15
-- 4 candidates of size 16
-- 3 candidates of size 17
-- 2 candidates of size 18
-- 2 candidates of size 19
-- 1 candidates of size 20
-- 1 candidates of size 21
-- 1 candidates of size 22
-- tested 65 candidates
isVowel 'a'  =  True
isVowel 'e'  =  True
isVowel 'i'  =  True
isVowel 'o'  =  True
isVowel 'u'  =  True
isVowel 'y'  =  True
isVowel c  =  False

pig1 :: [Char] -> [Char]
-- pruning with 5/5 rules
-- 2 candidates of size 1
-- 1 candidates of size 2
-- 4 candidates of size 3
-- 8 candidates of size 4
-- 13 candidates of size 5
-- 28 candidates of size 6
-- 46 candidates of size 7
-- 125 candidates of size 8
-- 200 candidates of size 9
-- 625 candidates of size 10
-- 1066 candidates of size 11
-- 3459 candidates of size 12
-- 6361 candidates of size 13
-- 20207 candidates of size 14
-- tested 27628 candidates
pig1 ""  =  "ay"
pig1 (c:cs)  =  if isVowel c
                then (c:cs) ++ "ay"
                else cs ++ (c:"ay")

gps20c :: [Char] -> [Char]
-- pruning with 1/1 rules
-- 1 candidates of size 1
-- 1 candidates of size 2
-- 2 candidates of size 3
-- 3 candidates of size 4
-- 5 candidates of size 5
-- tested 12 candidates
gps20c cs  =  unwords (map pig1 (words cs))

gps21 :: [Int] -> [Int]
-- testing 4 combinations of argument values
-- pruning with 4/4 rules
-- 2 candidates of size 1
-- 0 candidates of size 2
-- 2 candidates of size 3
-- 0 candidates of size 4
-- 4 candidates of size 5
-- 0 candidates of size 6
-- 8 candidates of size 7
-- 0 candidates of size 8
-- 16 candidates of size 9
-- 4 candidates of size 10
-- tested 34 candidates
gps21 []  =  []
gps21 (x:xs)  =  (if x < 0 then 0 else x):gps21 xs

gps22 :: [Char] -> Int
-- pruning with 5/9 rules
-- 1 candidates of size 1
-- 0 candidates of size 2
-- 1 candidates of size 3
-- 0 candidates of size 4
-- 0 candidates of size 5
-- 3 candidates of size 6
-- tested 4 candidates
gps22 ""  =  0
gps22 (c:cs)  =  gps22 cs + scrabble1 c

gps23 :: [Char] -> ([(Int,Int)],Int,Double)
-- pruning with 0/0 rules
-- 0 candidates of size 1
-- 0 candidates of size 2
-- tested 0 candidates
cannot conjure

gps24 :: [Char] -> Char
-- testing 4 combinations of argument values
-- pruning with 15/19 rules
-- 1 candidates of size 1
-- 1 candidates of size 2
-- 0 candidates of size 3
-- 2 candidates of size 4
-- 2 candidates of size 5
-- 2 candidates of size 6
-- 14 candidates of size 7
-- 25 candidates of size 8
-- 71 candidates of size 9
-- 176 candidates of size 10
-- tested 245 candidates
gps24 cs  =  chr (ord ' ' + sum (map ord cs) `mod` 64)

gps25 :: Int -> [Int]
-- testing 4 combinations of argument values
-- pruning with 0/0 rules
-- 0 candidates of size 1
-- tested 0 candidates
cannot conjure

gps26 :: Int -> Int -> Int -> Int -> Int -> Char
-- testing 5 combinations of argument values
-- pruning with 4/4 rules
-- 5 candidates of size 1
-- 0 candidates of size 2
-- tested 5 candidates
cannot conjure

gps27 :: Int -> Int -> Int -> Int
-- testing 3 combinations of argument values
-- pruning with 14/18 rules
-- 3 candidates of size 1
-- 0 candidates of size 2
-- 0 candidates of size 3
-- 0 candidates of size 4
-- 0 candidates of size 5
-- 36 candidates of size 6
-- 0 candidates of size 7
-- 0 candidates of size 8
-- 0 candidates of size 9
-- 90 candidates of size 10
-- 2592 candidates of size 11
-- tested 1489 candidates
gps27 x y z  =  if x < y
                then if y < z then y else z
                else x

gps27b :: Int -> Int -> Int -> Int
-- testing 3 combinations of argument values
-- pruning with 20/30 rules
-- 3 candidates of size 1
-- 0 candidates of size 2
-- 6 candidates of size 3
-- 0 candidates of size 4
-- 12 candidates of size 5
-- tested 15 candidates
gps27b x y z  =  min z (max x y)

gps28 :: Int -> Int -> Int -> Int -> Int
-- testing 5 combinations of argument values
-- pruning with 6/10 rules
-- 4 candidates of size 1
-- 0 candidates of size 2
-- 6 candidates of size 3
-- 0 candidates of size 4
-- 12 candidates of size 5
-- 0 candidates of size 6
-- 36 candidates of size 7
-- tested 25 candidates
gps28 x y z x'  =  x `min` (y `min` (z `min` x'))

gps29 :: [Char] -> Int
-- pruning with 7/11 rules
-- 2 candidates of size 1
-- 2 candidates of size 2
-- 0 candidates of size 3
-- 0 candidates of size 4
-- 2 candidates of size 5
-- 6 candidates of size 6
-- 10 candidates of size 7
-- 8 candidates of size 8
-- 24 candidates of size 9
-- tested 36 candidates
gps29 ""  =  0
gps29 (c:cs)  =  gps29 cs + (if isVowel c then 1 else 0)