The lambdas must flow.
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Changed directory: /home/hugo/Academic/Teaching/2022.2/TCPF/Aulas/
λ> :i fmap
type Functor :: (* -> *) -> Constraint
class Functor f where
  fmap :: (a -> b) -> f a -> f b
  ...
  	-- Defined in ‘GHC.Base’
λ> :t fmap
fmap :: Functor f => (a -> b) -> f a -> f b
λ> :i Applicative
type Applicative :: (* -> *) -> Constraint
class Functor f => Applicative f where
  pure :: a -> f a
  (<*>) :: f (a -> b) -> f a -> f b
  GHC.Base.liftA2 :: (a -> b -> c) -> f a -> f b -> f c
  (*>) :: f a -> f b -> f b
  (<*) :: f a -> f b -> f a
  {-# MINIMAL pure, ((<*>) | liftA2) #-}
  	-- Defined in ‘GHC.Base’
instance Applicative (Either e) -- Defined in ‘Data.Either’
instance Applicative [] -- Defined in ‘GHC.Base’
instance Applicative Maybe -- Defined in ‘GHC.Base’
instance Applicative IO -- Defined in ‘GHC.Base’
instance Applicative ((->) r) -- Defined in ‘GHC.Base’
instance (Monoid a, Monoid b, Monoid c) =>
         Applicative ((,,,) a b c)
  -- Defined in ‘GHC.Base’
instance (Monoid a, Monoid b) => Applicative ((,,) a b)
  -- Defined in ‘GHC.Base’
instance Monoid a => Applicative ((,) a) -- Defined in ‘GHC.Base’
λ> :t (.)
(.) :: (b -> c) -> (a -> b) -> a -> c
λ> :t (.) (.)
(.) (.) :: (a1 -> b -> c) -> a1 -> (a2 -> b) -> a2 -> c
λ> :t (.) (.) (.)
(.) (.) (.) :: (b -> c) -> (a1 -> a2 -> b) -> a1 -> a2 -> c
λ> :t (.) (.) (.) (.)
(.) (.) (.) (.)
  :: (a1 -> a2 -> b -> c) -> a1 -> a2 -> (a3 -> b) -> a3 -> c
λ> :t liftA2
liftA2 :: Applicative f => (a -> b -> c) -> f a -> f b -> f c
λ> :i (<$>)
(<$>) :: Functor f => (a -> b) -> f a -> f b
  	-- Defined in ‘Data.Functor’
infixl 4 <$>
λ> :i (<*>)
type Applicative :: (* -> *) -> Constraint
class Functor f => Applicative f where
  ...
  (<*>) :: f (a -> b) -> f a -> f b
  ...
  	-- Defined in ‘GHC.Base’
infixl 4 <*>
λ> :i ($)
($) :: (a -> b) -> a -> b 	-- Defined in ‘GHC.Base’
infixr 0 $
λ> :i Applicative
type Applicative :: (* -> *) -> Constraint
class Functor f => Applicative f where
  pure :: a -> f a
  (<*>) :: f (a -> b) -> f a -> f b
  liftA2 :: (a -> b -> c) -> f a -> f b -> f c
  (*>) :: f a -> f b -> f b
  (<*) :: f a -> f b -> f a
  {-# MINIMAL pure, ((<*>) | liftA2) #-}
  	-- Defined in ‘GHC.Base’
instance Applicative (Either e) -- Defined in ‘Data.Either’
instance Applicative [] -- Defined in ‘GHC.Base’
instance Applicative Maybe -- Defined in ‘GHC.Base’
instance Applicative IO -- Defined in ‘GHC.Base’
instance Applicative ((->) r) -- Defined in ‘GHC.Base’
instance (Monoid a, Monoid b, Monoid c) =>
         Applicative ((,,,) a b c)
  -- Defined in ‘GHC.Base’
instance (Monoid a, Monoid b) => Applicative ((,,) a b)
  -- Defined in ‘GHC.Base’
instance Monoid a => Applicative ((,) a) -- Defined in ‘GHC.Base’
λ> :t ($)
($) :: (a -> b) -> a -> b
λ> :i Applicative
type Applicative :: (* -> *) -> Constraint
class Functor f => Applicative f where
  pure :: a -> f a
  (<*>) :: f (a -> b) -> f a -> f b
  liftA2 :: (a -> b -> c) -> f a -> f b -> f c
  (*>) :: f a -> f b -> f b
  (<*) :: f a -> f b -> f a
  {-# MINIMAL pure, ((<*>) | liftA2) #-}
  	-- Defined in ‘GHC.Base’
instance Applicative (Either e) -- Defined in ‘Data.Either’
instance Applicative [] -- Defined in ‘GHC.Base’
instance Applicative Maybe -- Defined in ‘GHC.Base’
instance Applicative IO -- Defined in ‘GHC.Base’
instance Applicative ((->) r) -- Defined in ‘GHC.Base’
instance (Monoid a, Monoid b, Monoid c) =>
         Applicative ((,,,) a b c)
  -- Defined in ‘GHC.Base’
instance (Monoid a, Monoid b) => Applicative ((,,) a b)
  -- Defined in ‘GHC.Base’
instance Monoid a => Applicative ((,) a) -- Defined in ‘GHC.Base’
λ> :i Talvez
type Talvez :: * -> *
data Talvez a = Nada | DeFato a
  	-- Defined at Aula7.hs:9:1
instance [safe] Eq a => Eq (Talvez a) -- Defined at Aula7.hs:10:19
instance [safe] Show a => Show (Talvez a)
  -- Defined at Aula7.hs:10:13
instance [safe] Functor Talvez -- Defined at Aula7.hs:12:10
λ> :i Lista
type Lista :: * -> *
data Lista a = Aula10.Vazia | a Aula10.:# (Lista a)
  	-- Defined at Aula10.hs:42:1
instance [safe] Show a => Show (Lista a)
  -- Defined at Aula10.hs:43:12
instance [safe] Functor Lista -- Defined at Aula10.hs:46:10
λ> :i Lista
type Lista :: * -> *
data Lista a = Vazia | a :# (Lista a)
  	-- Defined at Aula10.hs:42:1
instance [safe] Show a => Show (Lista a)
  -- Defined at Aula10.hs:43:12
instance [safe] Functor Lista -- Defined at Aula10.hs:46:10
λ> :i Talvez
type Talvez :: * -> *
data Talvez a = Nada | DeFato a
  	-- Defined at Aula7.hs:9:1
instance [safe] Eq a => Eq (Talvez a) -- Defined at Aula7.hs:10:19
instance [safe] Show a => Show (Talvez a)
  -- Defined at Aula7.hs:10:13
instance [safe] Functor Talvez -- Defined at Aula7.hs:12:10
λ> fmap f Nada

<interactive>:136:6: error: Variable not in scope: f :: a0 -> b
λ> fmap (+1) Nada
Nada
λ> fmap (+1) (DeFato 4)
DeFato 5
λ> :i Talvez
type Talvez :: * -> *
data Talvez a = Nada | DeFato a
  	-- Defined at Aula7.hs:9:1
instance [safe] Eq a => Eq (Talvez a) -- Defined at Aula7.hs:10:19
instance [safe] Show a => Show (Talvez a)
  -- Defined at Aula7.hs:10:13
instance [safe] Functor Talvez -- Defined at Aula7.hs:12:10
instance Applicative Talvez
  -- Defined at /home/hugo/Academic/Teaching/2022.2/TCPF/Aulas/Aula27.hs:29:10
λ> [(^2), (^3)] <*> [2, 5, 7]
[4,25,49,8,125,343]
λ> res = [(^2), (^3)] <*> [2..]
λ> take 20 res
[4,9,16,25,36,49,64,81,100,121,144,169,196,225,256,289,324,361,400,441]
λ> prox (0,0)
(0,1)
λ> prox (0,1)
(1,1)
λ> prox (1,1)
(1,0)
λ> prox (1,0)
(0,2)
λ> take 20 pares
[(0,0),(0,1),(1,1),(1,0),(0,2),(1,2),(2,2),(2,1),(2,0),(0,3),(1,3),(2,3),(3,3),(3,2),(3,1),(3,0),(0,4),(1,4),(2,4),(3,4)]
λ> funcs = [(*i) | i <- [0..]]
λ> naturais = [0..]
λ> nativo = funcs <*> naturais
λ> take 10 nativo
[0,0,0,0,0,0,0,0,0,0]
λ> [ (funcs!!i) (naturais!!j) | (i,j) <- pares]

<interactive>:211:11: error:
    • Couldn't match expected type ‘Int’ with actual type ‘Integer’
    • In the second argument of ‘(!!)’, namely ‘i’
      In the expression: funcs !! i
      In the expression: (funcs !! i) (naturais !! j)

<interactive>:211:25: error:
    • Couldn't match expected type ‘Int’ with actual type ‘Integer’
    • In the second argument of ‘(!!)’, namely ‘j’
      In the first argument of ‘funcs !! i’, namely ‘(naturais !! j)’
      In the expression: (funcs !! i) (naturais !! j)
Complete: cabal build (0 compiler messages)
No compiler messages, dumping complete output:
No cabal.project file or cabal file matching the default glob './*.cabal' was found.
Please create a package description file <pkgname>.cabal or a cabal.project file referencing the packages you want to build.


λ> funcs = [(*i) | i <- [0..]]
λ> naturais = [0..]
λ> [ (funcs!!i) (naturais!!j) | (i,j) <- pares]

<interactive>:220:11: error:
    • Couldn't match expected type ‘Int’ with actual type ‘Integer’
    • In the second argument of ‘(!!)’, namely ‘i’
      In the expression: funcs !! i
      In the expression: (funcs !! i) (naturais !! j)

<interactive>:220:25: error:
    • Couldn't match expected type ‘Int’ with actual type ‘Integer’
    • In the second argument of ‘(!!)’, namely ‘j’
      In the first argument of ‘funcs !! i’, namely ‘(naturais !! j)’
      In the expression: (funcs !! i) (naturais !! j)
λ> :t naturais
naturais :: (Num a, Enum a) => [a]
λ> :t funcs
funcs :: (Num a, Enum a) => [a -> a]
λ> :t (!!)
(!!) :: [a] -> Int -> a
λ> [ (funcs!!i) (naturais!!j) | (i,j) <- pares]
[0,0,1,0,0,2,4,2,0,0,3,6,9,6,3,0,0,4,8,12,16,12,8,4,0,0,5,10,15,20,25,20,15,10,5,0,0,6,12,18,24,30,36,30,24,18,12,6,0,0,7,14,21,28,35,42,49,42,35,28,21,14,7,0,0,8,16,24,32,40,48,56,64,56,48,40,32,24,16,8,0,0,9,18,27,36,45,54,63,72,81,72,63,54,45,36,27,18,9,0,0,10,20,30,40,50,60,70,80,90,100,90,80,70,60,50,40,30,20,10,0,0,11,22,33,44,55,66,77,88,99,110,121,110,99,88,77,66,55,44,33,22,11,0,0,12,24,36,48,60,72,84,96,108,120,132,144,132,120,108,96,84,72,60,48,36,24,12,0,0,13,26,39,52,65,78,91,104,117,130,143,156,169,156,143,130,117,104,91,78,65,52,39,26,13,0,0,14,28,42,56,70,84,98,112,126,140,154,168,182,196,182,168,154,140,126,112,98,84,70,56,42,28,14,0,0,15,30,45,60,75,90,105,120,135,150,165,180,195,210,225,210,195,180,165,150,135,120,105,90,75,60,45,30,15,0,0,16,32,48,64,80,96,112,128,144,160,176,192,208,224,240,256,240,224,208,192,176,160,144,128,112,96,80,64,48,32,16,0,0,17,34,51,68,85,102,119,136,153,170,187,204,221,238,255,272,289,272,255,238,221,204,187,170,153,136,119,102,85,68,51,34,17,0,0,18,36,54,72,90,108,126,144,162,180,198,216,234,252,270,288,306,324,306,288,270,252,234,216,198,180,162,144,126,108,90,72,54,36,18,0,0,19,38,57,76,95,114,133,152,171,190,209,228,247,266,285,304,323,342,361,342,323,304,285,266,247,228,209,190,171,152,133,114,95,76,57,38,19,0,0,20,40,60,80,100,120,140,160,180,200,220,240,260,280,300,320,340,360,380,400,380,360,340,320,300,280,260,240,220,200,180,160,140,120,100,80,60,40,20,0,0,21,42,63,84,105,126,147,168,189,210,231,252,273,294,315,336,357,378,399,420,441,420,399,378,357,336,315,294,273,252,231,210,189,168,147,126,105,84,63,42,21,0,0,22,44,66,88,110,132,154,176,198,220,242,264,286,308,330,352,374,396,418,440,462,484,462,440,418,396,374,352,330,308,286,264,242,220,198,176,154,132,110,88,66,44,22,0,0,23,46,69,92,115,138,161,184,207,230,253,276,299,322,345,368,391,414,437,460,483,506,529,506,483,460,437,414,391,368,345,322,299,276,253,230,207,184,161,138,115,92,69,46,23,0,0,24,48,72,96,120,144,168,192,216,240,264,288,312,336,360,384,408,432,456,480,504,528,552,576,552,528,504,480,456,432,408,384,360,336,312,288,264,240,216,192,168,144,120,96,72,48,24,0,0,25,50,75,100,125,150,175,200,225,250,275,300,325,350,375,400,425,450,475,500,525,550,575,600,625,600,575,550,525,500,475,450,425,400,375,350,325,300,275,250,225,200,175,150,125,100,75,50,25,0,0,26,52,78,104,130,156,182,208,234,260,286,312,338,364,390,416,442,468,494,520,546,572,598,624,650,676,650,624,598,572,546,520,494,468,442,416,390,364,338,312,286,260,234,208,182,156,130,104,78,52,26,0,0,27,54,81,108,135,162,189,216,243,270,297,324,351,378,405,432,459,486,513,540,567,594,621,648,675,702,729,702,675,648,621,594,567,540,513,486,459,432,405,378,351,324,297,270,243,216,189,162,135,108,81,54,27,0,0,28,56,84,112,140,168,196,224,252,280,308,336,364,392,420,448,476,504,532,560,588,616,644,672,700,728,756,784,756,728,700,672,644,616,588,560,532,504,476,448,420,392,364,336,308,280,252,224,196,168,140,112,84,56,28,0,0,29,58,87,116,145,174,203,232,261,290,319,348,377,406,435,464,493,522,551,580,609,638,667,696,725,754,783,812,841,812,783,754,725,696,667,638,609,580,551,522,493,464,435,406,377,348,319,290,261,232,203,174,145,116,87,58,29,0,0,30,60,90,120,150,180,210,240,270,300,330,360,390,420,450,480,510,540,570,600,630,660,690,720,750,780,810,840,870,900,870,840,810,780,750,720,690,660,630,600,570,540,510,480,450,420,390,360,330,300,270,240,210,180,150,120,90,60,30,0,0,31,62,93,124,155,186,217,248,279,310,341,372,403,434,465,496,527,558,589,620,651,682,713,744,775,806,837,868,899,930,961,930,899,868,837,806,775,744,713,682,651,620,589,558,527,496,465,434,403,372,341,310,279,248,217,186,155,124,93,62,31,0,0,32,64,96,128,160,192,224,256,288,320,352,384,416,448,480,512,544,576,608,640,672,704,736,768,800,832,864,896,928,960,992,1024,992,960,928,896,864,832,800,768,736,704,672,640,608,576,544,512,480,448,416,384,352,320,288,256,224,192,160,128,96,64,32,0,0,33,66,99,132,165,198,231,264,297,330,363,396,429,462,495,528,561,594,627,660,693,726,759,792,825,858,891,924,957,990,1023,1056,1089,1056,1023,990,957,924,891,858,825,792,759,726,693,660,627,594,561,528,495,462,429,396,363,330,297,264,231,198,165,132,99,66,33,0,0,34,68,102,136,170,204,238,272,306,340,374,408,442,476,510,544,578,612,646,680,714,748,782,816,850,884,918,952,986,1020,1054,1088,1122,1156,1122,1088,1054,1020,986,952,918,884,850,816,782,748,714,680,646,612,578,544,510,476,442,408,374,340,306,272,238,204,170,136,102,68,34,0,0,35,70,105,140,175,210,245,280,315,350,385,420,455,490,525,560,595,630,665,700,735,770,805,840,875,910,945,980,1015,1050,1085,1120,1155,1190,1225,1190,1155,1120,1085,1050,1015,980,945,910,875,840,805,770,735,700,665,630,595,560,525,490,455,420,385,350,315,280,245,210,175,140,105,70,35,0,0,36,72,108,144,180,216,252,288,324,360,396,432,468,504,540,576,612,648,684,720,756,792,828,864,900,936,972,1008,1044,1080,1116,1152,1188,1224,1260,1296,1260,1224,1188,1152,1116,1080,1044,1008,972,936,900,864,828,792,756,720,684,648,612,576,540,504,468,432,396,360,324,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,6032,6136,6240,6344,6448,6552,6656,6760,6864,6968,7072,7176,7280,7384,7488,7592,7696,7800,7904,8008,8112,8216,8320,8424,8528,8632,8736,8840,8944,9048,9152,9256,9360,9464,9568,9672,9776,9880,9984,10088,10192,10296,10400,10504,10608,10712,10816,10712,10608,10504,10400,10296,10192,10088,9984,9880,9776,9672,9568,9464,9360,9256,9152,9048,8944,8840,8736,8632,8528,8424,8320,8216,8112,8008,7904,7800,7696,7592,7488,7384,7280,7176,7072,6968,6864,6760,6656,6552,6448,6344,6240,6136,6032,5928,5824,5720,5616,5512,5408,5304,5200,5096,4992,4888,4784,4680,4576,4472,4368,4264,4160,4056,3952,3848,3744,3640,3536,3432,3328,3224,3120,3016,2912,2808,2704,2600,2496,2392,2288,2184,2080,1976,1872,1768,1664,1560,1456,1352,1248,1144,1040,936,832,728,624,520,416,312,208,104,0,0,105,210,315,420,525,630,735,840,945,1050,1155,1260,1365,1470,1575,1680,1785,1890,1995,2100,2205,2310,2415,2520,2625,2730,2835,2940,3045,3150,3255,3360,3465,3570,3675,3780,3885,3990,4095,4200,4305,4410,4515,4620,4725,4830,4935,5040,5145,5250,5355,5460,5565,5670,5775,5880,5985,6090,6195,6300,6405,6510,6615,6720,6825,6930,7035,7140,7245,7350,7455,7560,7665,7770,7875,7980,8085,8190,8295,8400,8505,8610,8715,8820,8925,9030,9135,9240,9345,9450,9555,9660,9765,9870,9975,10080,10185,10290,10395,10500,10605,10710,10815,10920,11025,10920,10815,10710,10605,10500,10395,10290,10185,10080,9975,9870,9765,9660,9555,9450,9345,9240,9135,9030,8925,8820,8715,8610,8505,8400,8295,8190,8085,7980,7875,7770,7665,7560,7455,7350,7245,7140,7035,6930,6825,6720,6615,6510,6405,6300,6195,6090,5985,5880,5775,5670,5565,5460,5355,5250,5145,5040,4935,4830,4725,4620,4515,4410,4305,4200,4095,3990,3885,3780,3675,3570,3465,3360,3255,3150,3045,2940,2835,2730,2625,2520,2415,2310,2205,2100,1995,1890,1785,1680,1575,1470,1365,1260,1155,1050,945,840,735,630,525,420,315,210,105,0,0,106,212,318,424,530,636,742,848,954,1060,1166,1272,1378,1484,1590,1696,1802,1908,2014,2120,2226,2332,2438,2544,2650,2756,2862,2968,3074,3180,3286,3392,3498,3604,3710,3816,3922,4028,4134,4240,4346,4452,4558,4664,4770,4876,4982,5088,5194,5300,5406,5512,5618,5724,5830,5936,6042,6148,6254,6360,6466,6572,6678,6784,6890,6996,7102,7208,7314,7420,7526,7632,7738,7844,7950,8056,8162,8268,8374,8480,8586,8692,8798,8904,9010,9116,9222,9328,9434,9540,9646,9752,9858,9964,10070,10176,10282,10388,10494,10600,10706,10812,10918,11024,11130,11236,11130,11024,10918,10812,10706,10600,10494,10388,10282,10176,10070,9964,9858,9752,9646,9540,9434,9328,9222,9116,9010,8904,8798,8692,8586,8480,8374,8268,8162,8056,7950,7844,7738,7632,7526,7420,7314,7208,7102,6996,6890,6784,6678,6572,6466,6360,6254,6148,6042,5936,5830,5724,5618,5512,5406,5300,5194,5088,4982,4876,4770,4664,4558,4452,4346,4240,4134,4028,3922,3816,3710,3604,3498,3392,3286,3180,3074,2968,2862,2756,2650,2544,2438,2332,2226,2120,2014,1908,1802,1696,1590,1484,1378,1272,1166,1060,954,848,742,636,530,424,318,212,106,0,0,107,214,321,428,535,642,749,856,963,1070,1177,1284,1391,1498,1605,1712,1819,1926,2033,2140,2247,2354,2461,2568,2675,2782,2889,2996,3103,3210,3317,3424,3531,3638,3745,3852,3959,4066,4173,4280,4387,4494,4601,4708,4815,4922,5029,5136,5243,5350,5457,5564,5671,5778,5885,5992,6099,6206,6313,6420,6527,6634,6741,6848,6955,7062,7169,7276,7383,7490,7597,7704,7811,7918,8025,8132,8239,8346,8453,8560,8667,8774,8881,8988,9095,9202,9309,9416,9523,9630,9737,9844,9951,10058,10165,10272,10379,10486,10593,10700,10807,10914,11021,11128,11235,11342,11449,11342,11235,11128,11021,10914,10807,10700,10593,10486,10379,10272,10165,10058,9951,9844,9737,9630,9523,9416,9309,9202,9095,8988,8881,8774,8667,8560,8453,8346,8239,8132,8025,7918,7811,7704,7597,7490,7383,7276,7169,7062,6955,6848,6741,6634,6527,6420,6313,6206,6099,5992,5885,5778,5671,5564,5457,5350,5243,5136,5029,4922,4815,4708,4601,4494,4387,4280,4173,4066,3959,3852,3745,3638,3531,3424,3317,3210,3103,2996,2889,2782,2675,2568,2461,2354,2247,2140,2033,1926,1819,1712,1605,1498,1391,1284,1177,1070,963,856,749,642,535,428,321,214,107,0,0,108,216,324,432,540,648,756,864,972,1080,1188,1296,1404,1512,1620,1728,1836,1944,2052,2160,2268,2376,2484,2592,2700,2808,2916,3024,3132,3240,3348,3456,3564,3672,3780,3888,3996,4104,4212,4320,4428,4536,4644,4752,4860,4968,5076,5184,5292,5400,5508,5616,5724,5832,5940,6048,6156,6264,6372,6480,6588,6696,6804,6912,7020,7128,7236,7344,7452,7560,7668,7776,7884,7992,8100,8208,8316,8424,8532,8640,8748,8856,8964,9072,9180,9288,9396,9504,9612,9720,9828,9936,10044,10152,10260,10368,10476,10584,10692,10800,10908,11016,11124,11232,11340,11448,11556,11664,11556,11448,11340,11232,11124,11016,10908,10800,10692,10584,10476,10368,10260,10152,10044,9936,9828,9720,9612,9504,9396,9288,9180,9072,8964,8856,8748,8640,8532,8424,8316,8208,8100,7992,7884,7776,7668,7560,7452,7344,7236,7128,7020,6912,6804,6696,6588,6480,6372,6264,6156,6048,5940,5832,5724,5616,5508,5400,5292,5184,5076,4968,4860,4752,4644,4536,4428,4320,4212,4104,3996,3888,3780,3672,3564,3456,3348,3240,3132,3024,2916,2808,2700,2592,2484,2376,2268,2160,2052,1944,1836,1728,1620,1512,1404,1296,1188,1080,972,864,756,648,540,432,324,216,108,0,0,109,218,327,436,545,654,763,872,981,1090,1199,1308,1417,1526,1635,1744,1853,1962,2071,2180,2289,2398,2507,2616,2725,2834,2943,3052,3161,3270,3379,3488,3597,3706,3815,3924,4033,4142,4251,4360,4469,4578,4687,4796,4905,5014,5123,5232,5341,5450,5559,5668,5777,5886,5995,6104,6213,6322,6431,6540,6649,6758,6867,6976,7085,7194,7303,7412,7521,7630,7739,7848,7957,8066,8175,8284,8393,8502,8611,8720,8829,8938,9047,9156,9265,9374,9483,9592,9701,9810,9919,10028,10137,10246,10355,10464,10573,10682,10791,10900,11009,11118,11227,11336,11445,11554,11663,11772,11881,11772,11663,11554,11445,11336,11227,11118,11009,10900,10791,10682,10573,10464,10355,10246,10137,10028,9919,9810,9701,9592,9483,9374,9265,9156,9047,8938,8829,8720,8611,8502,8393,8284,8175,8066,7957,7848,7739,7630,7521,7412,7303,7194,7085,6976,6867,6758,6649,6540,6431,6322,6213,6104,5995,5886,5777,5668,5559,5450,5341,5232,5123,5014,4905,4796,4687,4578,4469,4360,4251,4142,4033,3924,3815,3706,3597,3488,3379,3270,3161,3052,2943,2834,2725,2616,2507,2398,2289,2180,2071,1962,1853,1744,1635,1526,1417,1308,1199,1090,981,872,763,654,545,436,327,218,109,0,0,110,220,330,440,550,660,770,880,990,1100,1210,1320,1430,1540,1650,1760,1870,1980,2090,2200,2310,2420,2530,2640,2750,2860,2970,3080,3190,3300,3410,3520,3630,3740,3850,3960,4070,4180,4290,4400,4510,4620,4730,4840,4950,5060,5170,5280,5390,5500,5610,5720,5830,5940,6050,6160,6270,6380,6490,6600,6710,6820,6930,7040,7150,7260,7370,7480,7590,7700,7810,7920,8030,8140,8250,8360,8470,8580,8690,8800,8910,9020,9130,9240,9350,9460,9570,9680,9790,9900,10010,10120,10230,10340,10450,10560,10670,10780,10890,11000,11110,11220,11330,11440,11550,11660,11770,11880,11990,12100,11990,11880,11770,11660,11550,11440,11330,11220,11110,11000,10890,10780,10670,10560,10450,10340,10230,10120,10010,9900,9790,9680,9570,946Interrupted.
λ> meures = [ (funcs!!i) (naturais!!j) | (i,j) <- pares]
λ> take 10 meures
[0,0,1,0,0,2,4,2,0,0]
λ> take 30 meures
[0,0,1,0,0,2,4,2,0,0,3,6,9,6,3,0,0,4,8,12,16,12,8,4,0,0,5,10,15,20]
λ> take 1 $ fmap println ["Hello", "World", "Hashi"]

<interactive>:235:15-21: error:
    • Variable not in scope: println :: [Char] -> a
    • Perhaps you meant ‘print’ (imported from Prelude)
λ> take 1 $ fmap putStrLn ["Hello", "World", "Hashi"]
take 1 $ fmap putStrLn ["Hello", "World", "Hashi"] :: [IO ()]
λ> head $ fmap putStrLn ["Hello", "World", "Hashi"]
Hello
λ> head $ tail $ fmap putStrLn ["Hello", "World", "Hashi"]
World
λ> head $ tail $ fmap putStrLn ["Hello", "World", "Hashi"]
World
λ> head $ tail $ mapM putStrLn ["Hello", "World", "Hashi"]

<interactive>:241:15-55: error:
    • Couldn't match type ‘IO’ with ‘[]’
      Expected type: [[()]]
        Actual type: IO [()]
    • In the second argument of ‘($)’, namely
        ‘mapM putStrLn ["Hello", "World", "Hashi"]’
      In the second argument of ‘($)’, namely
        ‘tail $ mapM putStrLn ["Hello", "World", "Hashi"]’
      In the expression:
        head $ tail $ mapM putStrLn ["Hello", "World", "Hashi"]
λ> fmap (head . tail) $ mapM putStrLn ["Hello", "World", "Hashi"]
Hello
World
Hashi
λ> :i mapM
type Traversable :: (* -> *) -> Constraint
class (Functor t, Foldable t) => Traversable t where
  ...
  mapM :: Monad m => (a -> m b) -> t a -> m (t b)
  ...
  	-- Defined in ‘Data.Traversable’
λ> :i Traversable
type Traversable :: (* -> *) -> Constraint
class (Functor t, Foldable t) => Traversable t where
  traverse :: Applicative f => (a -> f b) -> t a -> f (t b)
  sequenceA :: Applicative f => t (f a) -> f (t a)
  mapM :: Monad m => (a -> m b) -> t a -> m (t b)
  sequence :: Monad m => t (m a) -> m (t a)
  {-# MINIMAL traverse | sequenceA #-}
  	-- Defined in ‘Data.Traversable’
instance Traversable [] -- Defined in ‘Data.Traversable’
instance Traversable Maybe -- Defined in ‘Data.Traversable’
instance Traversable (Either a) -- Defined in ‘Data.Traversable’
instance Traversable ((,) a) -- Defined in ‘Data.Traversable’
λ> fmap (head . tail) $ traverse putStrLn ["Hello", "World", "Hashi"]
Hello
World
Hashi
λ>