From 317ee36636ebeec986971ef857cd297f0320e58d Mon Sep 17 00:00:00 2001 From: Guillermo Ramos Date: Mon, 27 May 2013 10:31:48 +0200 Subject: start --- haskell/clean.sh | 4 ++ haskell/p1.hs | 4 ++ haskell/p10.hs | 12 ++++++ haskell/p11.hs | 122 ++++++++++++++++++++++++++++++++++++++++++++++++++++ haskell/p13.hs | 104 ++++++++++++++++++++++++++++++++++++++++++++ haskell/p14.hs | 17 ++++++++ haskell/p15.hs | 16 +++++++ haskell/p16.hs | 6 +++ haskell/p2.hs | 8 ++++ haskell/p20.hs | 6 +++ haskell/p3.hs | 9 ++++ haskell/p377.hs | 12 ++++++ haskell/p4.hs | 7 +++ haskell/p5.hs | 8 ++++ haskell/p6.hs | 4 ++ haskell/p7.hs | 6 +++ haskell/p8.hs | 34 +++++++++++++++ haskell/p9.hs | 7 +++ haskell/template.hs | 4 ++ 19 files changed, 390 insertions(+) create mode 100755 haskell/clean.sh create mode 100644 haskell/p1.hs create mode 100644 haskell/p10.hs create mode 100644 haskell/p11.hs create mode 100644 haskell/p13.hs create mode 100644 haskell/p14.hs create mode 100644 haskell/p15.hs create mode 100644 haskell/p16.hs create mode 100644 haskell/p2.hs create mode 100644 haskell/p20.hs create mode 100644 haskell/p3.hs create mode 100644 haskell/p377.hs create mode 100644 haskell/p4.hs create mode 100644 haskell/p5.hs create mode 100644 haskell/p6.hs create mode 100644 haskell/p7.hs create mode 100644 haskell/p8.hs create mode 100644 haskell/p9.hs create mode 100644 haskell/template.hs (limited to 'haskell') diff --git a/haskell/clean.sh b/haskell/clean.sh new file mode 100755 index 0000000..f4f85d9 --- /dev/null +++ b/haskell/clean.sh @@ -0,0 +1,4 @@ +#!/bin/sh +rm -f *.hi +rm -f *.o +rm -f p{1..400} diff --git a/haskell/p1.hs b/haskell/p1.hs new file mode 100644 index 0000000..3241a79 --- /dev/null +++ b/haskell/p1.hs @@ -0,0 +1,4 @@ +p1 :: Int +p1 = sum [x | x <- [1..999], mod x 3 == 0 || mod x 5 == 0] + +main = putStrLn $ "Solution: " ++ show p1 diff --git a/haskell/p10.hs b/haskell/p10.hs new file mode 100644 index 0000000..e7a7c85 --- /dev/null +++ b/haskell/p10.hs @@ -0,0 +1,12 @@ +sieve :: Int -> [Int] +sieve max = sieve_l [2..max] (floor . sqrt . fromIntegral $ max) + where + sieve_l [n] _ = [n] + sieve_l (n:xl) max_sqrt + | n > max_sqrt = n:xl + | otherwise = n : sieve_l (filter ((/= 0).(`mod` n)) xl) max_sqrt + +p10 :: Int +p10 = sum $ sieve 2000000 + +main = putStrLn $ "Solution: " ++ show p10 diff --git a/haskell/p11.hs b/haskell/p11.hs new file mode 100644 index 0000000..b1c0a58 --- /dev/null +++ b/haskell/p11.hs @@ -0,0 +1,122 @@ +-- Soluciones alternativas; estudiar a conciencia +-- +-- import List +-- +-- grid = ... +-- +-- myMaximum [] = 0 +-- myMaximum xs = maximum xs +-- +-- takeBy n = filter ((n==) . length) . map (take n) . tails +-- +-- maxBy n = myMaximum . map product . takeBy n +-- +-- maxInRows n = maximum . map (maxBy n) +-- +-- maxInCols n = maxInRows n . transpose +-- +-- maxInLR n = maxInRows n . transpose . zipWith drop [0..] +-- +-- maxInRL n = maxInLR n . map reverse +-- +-- main = print $ maximum $ map (flip ($ 4) grid) [maxInRows, maxInCols, maxInLR, maxInRL] +------------------------------------------------------------------------------------------- +-- import Data.Array +-- import Data.List +-- +-- input = unlines $ +-- [ "08 02 22 97 38 15 00 40 00 75 04 05 07 78 52 12 50 77 91 08", +-- "49 49 99 40 17 81 18 57 60 87 17 40 98 43 69 48 04 56 62 00", +-- "81 49 31 73 55 79 14 29 93 71 40 67 53 88 30 03 49 13 36 65", +-- "52 70 95 23 04 60 11 42 69 24 68 56 01 32 56 71 37 02 36 91", +-- "22 31 16 71 51 67 63 89 41 92 36 54 22 40 40 28 66 33 13 80", +-- "24 47 32 60 99 03 45 02 44 75 33 53 78 36 84 20 35 17 12 50", +-- "32 98 81 28 64 23 67 10 26 38 40 67 59 54 70 66 18 38 64 70", +-- "67 26 20 68 02 62 12 20 95 63 94 39 63 08 40 91 66 49 94 21", +-- "24 55 58 05 66 73 99 26 97 17 78 78 96 83 14 88 34 89 63 72", +-- "21 36 23 09 75 00 76 44 20 45 35 14 00 61 33 97 34 31 33 95", +-- "78 17 53 28 22 75 31 67 15 94 03 80 04 62 16 14 09 53 56 92", +-- "16 39 05 42 96 35 31 47 55 58 88 24 00 17 54 24 36 29 85 57", +-- "86 56 00 48 35 71 89 07 05 44 44 37 44 60 21 58 51 54 17 58", +-- "19 80 81 68 05 94 47 69 28 73 92 13 86 52 17 77 04 89 55 40", +-- "04 52 08 83 97 35 99 16 07 97 57 32 16 26 26 79 33 27 98 66", +-- "88 36 68 87 57 62 20 72 03 46 33 67 46 55 12 32 63 93 53 69", +-- "04 42 16 73 38 25 39 11 24 94 72 18 08 46 29 32 40 62 76 36", +-- "20 69 36 41 72 30 23 88 34 62 99 69 82 67 59 85 74 04 36 16", +-- "20 73 35 29 78 31 90 01 74 31 49 71 48 86 81 16 23 57 05 54", +-- "01 70 54 71 83 51 54 69 16 92 33 48 61 43 52 01 89 19 67 48"] +-- +-- n = 20 +-- +-- mbounds = ((1,1), (n,n)) +-- +-- matrix :: Array (Int, Int) Int +-- matrix = listArray mbounds $ map read $ words input +-- +-- k = 4 +-- +-- -- right, down, right-diag, left-diag +-- directions = [ (0,1), (1,0), (1,1), (1,-1) ] +-- +-- move (x,y) (dx,dy) = (x+dx, y+dy) +-- +-- solution = maximum [ product (takeLine pt dir) | +-- pt <- range mbounds, +-- dir <- directions] +-- where takeLine pt dir = [ matrix!pt' | +-- pt' <- take k $ iterate (move dir) pt, +-- inRange mbounds pt' ] + +import Data.List (transpose) + +grid :: [[Int]] +grid = + [[08, 02, 22, 97, 38, 15, 00, 40, 00, 75, 04, 05, 07, 78, 52, 12, 50, 77, 91, 08] + ,[49, 49, 99, 40, 17, 81, 18, 57, 60, 87, 17, 40, 98, 43, 69, 48, 04, 56, 62, 00] + ,[81, 49, 31, 73, 55, 79, 14, 29, 93, 71, 40, 67, 53, 88, 30, 03, 49, 13, 36, 65] + ,[52, 70, 95, 23, 04, 60, 11, 42, 69, 24, 68, 56, 01, 32, 56, 71, 37, 02, 36, 91] + ,[22, 31, 16, 71, 51, 67, 63, 89, 41, 92, 36, 54, 22, 40, 40, 28, 66, 33, 13, 80] + ,[24, 47, 32, 60, 99, 03, 45, 02, 44, 75, 33, 53, 78, 36, 84, 20, 35, 17, 12, 50] + ,[32, 98, 81, 28, 64, 23, 67, 10, 26, 38, 40, 67, 59, 54, 70, 66, 18, 38, 64, 70] + ,[67, 26, 20, 68, 02, 62, 12, 20, 95, 63, 94, 39, 63, 08, 40, 91, 66, 49, 94, 21] + ,[24, 55, 58, 05, 66, 73, 99, 26, 97, 17, 78, 78, 96, 83, 14, 88, 34, 89, 63, 72] + ,[21, 36, 23, 09, 75, 00, 76, 44, 20, 45, 35, 14, 00, 61, 33, 97, 34, 31, 33, 95] + ,[78, 17, 53, 28, 22, 75, 31, 67, 15, 94, 03, 80, 04, 62, 16, 14, 09, 53, 56, 92] + ,[16, 39, 05, 42, 96, 35, 31, 47, 55, 58, 88, 24, 00, 17, 54, 24, 36, 29, 85, 57] + ,[86, 56, 00, 48, 35, 71, 89, 07, 05, 44, 44, 37, 44, 60, 21, 58, 51, 54, 17, 58] + ,[19, 80, 81, 68, 05, 94, 47, 69, 28, 73, 92, 13, 86, 52, 17, 77, 04, 89, 55, 40] + ,[04, 52, 08, 83, 97, 35, 99, 16, 07, 97, 57, 32, 16, 26, 26, 79, 33, 27, 98, 66] + ,[88, 36, 68, 87, 57, 62, 20, 72, 03, 46, 33, 67, 46, 55, 12, 32, 63, 93, 53, 69] + ,[04, 42, 16, 73, 38, 25, 39, 11, 24, 94, 72, 18, 08, 46, 29, 32, 40, 62, 76, 36] + ,[20, 69, 36, 41, 72, 30, 23, 88, 34, 62, 99, 69, 82, 67, 59, 85, 74, 04, 36, 16] + ,[20, 73, 35, 29, 78, 31, 90, 01, 74, 31, 49, 71, 48, 86, 81, 16, 23, 57, 05, 54] + ,[01, 70, 54, 71, 83, 51, 54, 69, 16, 92, 33, 48, 61, 43, 52, 01, 89, 19, 67, 48]] + +max4 :: [Int] -> Int +max4 v + | (length v) < 4 = 0 + | otherwise = maximum [product $ take 4 v, max4 $ tail v] + +horizontal :: [[Int]] -> Int +horizontal = horizontal' + where + horizontal' :: [[Int]] -> Int + horizontal' [] = 0 + horizontal' (v:m) = maximum [(max4 v), (horizontal' m)] + +vertical :: [[Int]] -> Int +vertical = horizontal . transpose + +diagonal :: [[Int]] -> Int +diagonal m = maximum (map (max4 . diag) [0..(len-1)]) + where + diag n = [grid !! x !! y | x <- [0..n], y <- [0..n], x+y == n] + len = length grid + +diagonal_back :: [[Int]] -> Int +diagonal_back = diagonal . (map reverse) + +p11 :: Int +p11 = maximum $ [horizontal grid, vertical grid, diagonal grid, diagonal_back grid] + +main = putStrLn $ "Solution: " ++ show p11 diff --git a/haskell/p13.hs b/haskell/p13.hs new file mode 100644 index 0000000..b290a32 --- /dev/null +++ b/haskell/p13.hs @@ -0,0 +1,104 @@ +p13 :: String +p13 = take 10 $ show $ + sum [ 37107287533902102798797998220837590246510135740250 + , 46376937677490009712648124896970078050417018260538 + , 74324986199524741059474233309513058123726617309629 + , 91942213363574161572522430563301811072406154908250 + , 23067588207539346171171980310421047513778063246676 + , 89261670696623633820136378418383684178734361726757 + , 28112879812849979408065481931592621691275889832738 + , 44274228917432520321923589422876796487670272189318 + , 47451445736001306439091167216856844588711603153276 + , 70386486105843025439939619828917593665686757934951 + , 62176457141856560629502157223196586755079324193331 + , 64906352462741904929101432445813822663347944758178 + , 92575867718337217661963751590579239728245598838407 + , 58203565325359399008402633568948830189458628227828 + , 80181199384826282014278194139940567587151170094390 + , 35398664372827112653829987240784473053190104293586 + , 86515506006295864861532075273371959191420517255829 + , 71693888707715466499115593487603532921714970056938 + , 54370070576826684624621495650076471787294438377604 + , 53282654108756828443191190634694037855217779295145 + , 36123272525000296071075082563815656710885258350721 + , 45876576172410976447339110607218265236877223636045 + , 17423706905851860660448207621209813287860733969412 + , 81142660418086830619328460811191061556940512689692 + , 51934325451728388641918047049293215058642563049483 + , 62467221648435076201727918039944693004732956340691 + , 15732444386908125794514089057706229429197107928209 + , 55037687525678773091862540744969844508330393682126 + , 18336384825330154686196124348767681297534375946515 + , 80386287592878490201521685554828717201219257766954 + , 78182833757993103614740356856449095527097864797581 + , 16726320100436897842553539920931837441497806860984 + , 48403098129077791799088218795327364475675590848030 + , 87086987551392711854517078544161852424320693150332 + , 59959406895756536782107074926966537676326235447210 + , 69793950679652694742597709739166693763042633987085 + , 41052684708299085211399427365734116182760315001271 + , 65378607361501080857009149939512557028198746004375 + , 35829035317434717326932123578154982629742552737307 + , 94953759765105305946966067683156574377167401875275 + , 88902802571733229619176668713819931811048770190271 + , 25267680276078003013678680992525463401061632866526 + , 36270218540497705585629946580636237993140746255962 + , 24074486908231174977792365466257246923322810917141 + , 91430288197103288597806669760892938638285025333403 + , 34413065578016127815921815005561868836468420090470 + , 23053081172816430487623791969842487255036638784583 + , 11487696932154902810424020138335124462181441773470 + , 63783299490636259666498587618221225225512486764533 + , 67720186971698544312419572409913959008952310058822 + , 95548255300263520781532296796249481641953868218774 + , 76085327132285723110424803456124867697064507995236 + , 37774242535411291684276865538926205024910326572967 + , 23701913275725675285653248258265463092207058596522 + , 29798860272258331913126375147341994889534765745501 + , 18495701454879288984856827726077713721403798879715 + , 38298203783031473527721580348144513491373226651381 + , 34829543829199918180278916522431027392251122869539 + , 40957953066405232632538044100059654939159879593635 + , 29746152185502371307642255121183693803580388584903 + , 41698116222072977186158236678424689157993532961922 + , 62467957194401269043877107275048102390895523597457 + , 23189706772547915061505504953922979530901129967519 + , 86188088225875314529584099251203829009407770775672 + , 11306739708304724483816533873502340845647058077308 + , 82959174767140363198008187129011875491310547126581 + , 97623331044818386269515456334926366572897563400500 + , 42846280183517070527831839425882145521227251250327 + , 55121603546981200581762165212827652751691296897789 + , 32238195734329339946437501907836945765883352399886 + , 75506164965184775180738168837861091527357929701337 + , 62177842752192623401942399639168044983993173312731 + , 32924185707147349566916674687634660915035914677504 + , 99518671430235219628894890102423325116913619626622 + , 73267460800591547471830798392868535206946944540724 + , 76841822524674417161514036427982273348055556214818 + , 97142617910342598647204516893989422179826088076852 + , 87783646182799346313767754307809363333018982642090 + , 10848802521674670883215120185883543223812876952786 + , 71329612474782464538636993009049310363619763878039 + , 62184073572399794223406235393808339651327408011116 + , 66627891981488087797941876876144230030984490851411 + , 60661826293682836764744779239180335110989069790714 + , 85786944089552990653640447425576083659976645795096 + , 66024396409905389607120198219976047599490197230297 + , 64913982680032973156037120041377903785566085089252 + , 16730939319872750275468906903707539413042652315011 + , 94809377245048795150954100921645863754710598436791 + , 78639167021187492431995700641917969777599028300699 + , 15368713711936614952811305876380278410754449733078 + , 40789923115535562561142322423255033685442488917353 + , 44889911501440648020369068063960672322193204149535 + , 41503128880339536053299340368006977710650566631954 + , 81234880673210146739058568557934581403627822703280 + , 82616570773948327592232845941706525094512325230608 + , 22918802058777319719839450180888072429661980811197 + , 77158542502016545090413245809786882778948721859617 + , 72107838435069186155435662884062257473692284509516 + , 20849603980134001723930671666823555245252804609722 + , 53503534226472524250874054075591789781264330331690 ] + +main = putStrLn $ "Solution: " ++ p13 diff --git a/haskell/p14.hs b/haskell/p14.hs new file mode 100644 index 0000000..fae33f8 --- /dev/null +++ b/haskell/p14.hs @@ -0,0 +1,17 @@ +collatz :: Int -> [Int] +collatz 1 = [1] +collatz n + | mod n 2 == 0 = n : collatz (div n 2) + | mod n 2 == 1 = n : collatz (3*n + 1) + +p14 :: Int +p14 = p14' 999999 0 0 + where + p14' 0 maxnum _ = maxnum + p14' n maxnum maxlen = + let len = length (collatz n) + in if len > maxlen + then p14' (n-1) n len + else p14' (n-1) maxnum maxlen + +main = putStrLn $ "Solution: " ++ show p14 diff --git a/haskell/p15.hs b/haskell/p15.hs new file mode 100644 index 0000000..41b93cf --- /dev/null +++ b/haskell/p15.hs @@ -0,0 +1,16 @@ +grid_bad 0 _ = 1 +grid_bad r c + | r == c = 2 * (grid_bad (r-1) c) + | otherwise = (grid_bad (r-1) c) + (grid_bad r (c-1)) + +grid 0 _ = 1 +grid 1 n = n + 1 +grid 2 n = sum [1..n] + n + 1 +grid r c + | r == c = 2 * (grid (r-1) c) + | otherwise = (grid (r-1) c) + (grid r (c-1)) + +p15 :: Int -> Int +p15 n = grid n n + +main = putStrLn $ "Solution: " ++ show (p15 20) diff --git a/haskell/p16.hs b/haskell/p16.hs new file mode 100644 index 0000000..89de59f --- /dev/null +++ b/haskell/p16.hs @@ -0,0 +1,6 @@ +import Data.Char (digitToInt) + +p16 :: Int +p16 = sum (map digitToInt (show (2^1000))) + +main = putStrLn $ "Solution: " ++ show p16 diff --git a/haskell/p2.hs b/haskell/p2.hs new file mode 100644 index 0000000..1d9d769 --- /dev/null +++ b/haskell/p2.hs @@ -0,0 +1,8 @@ +fibs :: [Int] +fibs = list + where list = 0 : 1 : zipWith (+) list (tail list) + +p2 :: Int +p2 = sum [x | x <- takeWhile (< 4000000) fibs, mod x 2 == 0] + +main = putStrLn $ "Solution: " ++ show p2 diff --git a/haskell/p20.hs b/haskell/p20.hs new file mode 100644 index 0000000..d9468e8 --- /dev/null +++ b/haskell/p20.hs @@ -0,0 +1,6 @@ +import Data.Char (digitToInt) + +p20 :: Int +p20 = sum (map digitToInt (show (product [1..100]))) + +main = putStrLn $ "Solution: " ++ show p20 diff --git a/haskell/p3.hs b/haskell/p3.hs new file mode 100644 index 0000000..f50c2de --- /dev/null +++ b/haskell/p3.hs @@ -0,0 +1,9 @@ +p3 :: Integer +p3 = maximum $ factors 600851475143 [] + where + factors :: Integer -> [Integer] -> [Integer] + factors 1 l = l + factors n l = factors (div n divisor) (divisor:l) + where divisor = head $ filter (\x -> mod n x == 0) [2..] + +main = putStrLn $ "Solution: " ++ show p3 diff --git a/haskell/p377.hs b/haskell/p377.hs new file mode 100644 index 0000000..f511046 --- /dev/null +++ b/haskell/p377.hs @@ -0,0 +1,12 @@ +import Data.Char + +f :: Int -> Integer +f n = sum [x | x <- [1..10^n], nozero x, sumn x n] + where + nozero x = notElem '0' (show x) + sumn x n = sum (map digitToInt (show x)) == n + +p377 :: String +p377 = reverse . (take 9) . reverse . show $ sum [f 13^i | i <- [1..17]] + +main = putStrLn $ "Solution: " ++ p377 diff --git a/haskell/p4.hs b/haskell/p4.hs new file mode 100644 index 0000000..2670bd5 --- /dev/null +++ b/haskell/p4.hs @@ -0,0 +1,7 @@ +palindrome :: (Integral a) => a -> Bool +palindrome n = let ns = show n in ns == reverse ns + +p4 :: Int +p4 = maximum $ filter palindrome [x*y | x <- [100..999], y <- [100..999]] + +main = putStrLn $ "Solution: " ++ show p4 diff --git a/haskell/p5.hs b/haskell/p5.hs new file mode 100644 index 0000000..ccee7fe --- /dev/null +++ b/haskell/p5.hs @@ -0,0 +1,8 @@ +p5' :: Integer +p5' = foldl lcm 1 [1..20] + +p5 :: Integer +p5 = head $ filter cond [1..] + where cond n = null [x | x <- [2..20], mod n x /= 0] + +main = putStrLn $ "Solution: " ++ show p5 diff --git a/haskell/p6.hs b/haskell/p6.hs new file mode 100644 index 0000000..86f509d --- /dev/null +++ b/haskell/p6.hs @@ -0,0 +1,4 @@ +p6 :: Int +p6 = (sum [1..100])^2 - foldl (\a x -> x^2 + a) 0 [1..100] + +main = putStrLn $ "Solution: " ++ show p6 diff --git a/haskell/p7.hs b/haskell/p7.hs new file mode 100644 index 0000000..fe91b10 --- /dev/null +++ b/haskell/p7.hs @@ -0,0 +1,6 @@ +sieve (x:xs) = x : sieve (filter ((/= 0) . (`mod` x)) xs) + +p7 :: Int +p7 = sieve [2..] !! 10000 + +main = putStrLn $ "Solution: " ++ show p7 diff --git a/haskell/p8.hs b/haskell/p8.hs new file mode 100644 index 0000000..61f0f4c --- /dev/null +++ b/haskell/p8.hs @@ -0,0 +1,34 @@ +import Data.Char (digitToInt) + +p8 :: Int +p8 = greatest5 "\ + \73167176531330624919225119674426574742355349194934\ + \96983520312774506326239578318016984801869478851843\ + \85861560789112949495459501737958331952853208805511\ + \12540698747158523863050715693290963295227443043557\ + \66896648950445244523161731856403098711121722383113\ + \62229893423380308135336276614282806444486645238749\ + \30358907296290491560440772390713810515859307960866\ + \70172427121883998797908792274921901699720888093776\ + \65727333001053367881220235421809751254540594752243\ + \52584907711670556013604839586446706324415722155397\ + \53697817977846174064955149290862569321978468622482\ + \83972241375657056057490261407972968652414535100474\ + \82166370484403199890008895243450658541227588666881\ + \16427171479924442928230863465674813919123162824586\ + \17866458359124566529476545682848912883142607690042\ + \24219022671055626321111109370544217506941658960408\ + \07198403850962455444362981230987879927244284909188\ + \84580156166097919133875499200524063689912560717606\ + \05886116467109405077541002256983155200055935729725\ + \71636269561882670428252483600823257530420752963450" 0 + where + greatest5 (_:_:_:[_]) max = max + greatest5 l max = + let first5 = product (map digitToInt (take 5 l)) + in if first5 > max + then greatest5 (tail l) first5 + else greatest5 (tail l) max + + +main = putStrLn $ "Solution: " ++ show p8 diff --git a/haskell/p9.hs b/haskell/p9.hs new file mode 100644 index 0000000..f06f441 --- /dev/null +++ b/haskell/p9.hs @@ -0,0 +1,7 @@ +triplet :: (Integral a) => a -> a -> a -> Bool +triplet a b c = a^2 + b^2 == c^2 + +p9 :: Int +p9 = head [x*y*z | x <- [2..333], y <- [2..1000], z <- [333..1000], triplet x y z, x+y+z == 1000] + +main = putStrLn $ "Solution: " ++ show p9 diff --git a/haskell/template.hs b/haskell/template.hs new file mode 100644 index 0000000..a72d31e --- /dev/null +++ b/haskell/template.hs @@ -0,0 +1,4 @@ +p4 :: Int +p4 = + +main = putStrLn $ "Solution: " ++ show p4 -- cgit v1.2.3