diff --git a/haskell/Lib.hs b/haskell/Lib.hs index 61e279f..6fdb192 100644 --- a/haskell/Lib.hs +++ b/haskell/Lib.hs @@ -1,19 +1,39 @@ -module Lib (fib, primes, primeFactors) where +module Lib + ( factors, + fib, + primes, + primeFactors, + sumOfDigits, + ) +where + +import Data.List (nub) + +factors :: Integral a => a -> [a] +factors n = concat [if mod n f == 0 then nub [f, div n f] else [] | f <- [1 .. flsqrt n]] fib :: [Integer] fib = 1 : 2 : zipWith (+) fib (tail fib) -isPrime :: Integer -> Bool -isPrime n = n > 1 && null [[] | k <- [2 .. (floor $ sqrt $ fromIntegral n)], mod n k == 0] +flsqrt :: Integral a => a -> a +flsqrt n = floor $ sqrt $ fromIntegral n + +isPrime :: Integral a => a -> Bool +isPrime n = n > 1 && null [[] | k <- [2 .. flsqrt n], mod n k == 0] primes :: [Integer] primes = 2 : filter isPrime [3, 4 ..] -primeFactors :: Integer -> [Integer] +primeFactors :: Integral a => a -> [a] primeFactors n = genPrimeFactors n 2 where - genPrimeFactors :: Integer -> Integer -> [Integer] + genPrimeFactors :: Integral a => a -> a -> [a] genPrimeFactors n c | c * c > n = [n] | mod n c /= 0 = genPrimeFactors n (c + 1) | otherwise = c : genPrimeFactors (div n c) c + +sumOfDigits :: Integral a => a -> a +sumOfDigits n + | n == 0 = 0 + | otherwise = mod n 10 + sumOfDigits (div n 10) diff --git a/haskell/p12.hs b/haskell/p12.hs new file mode 100644 index 0000000..240d6af --- /dev/null +++ b/haskell/p12.hs @@ -0,0 +1,10 @@ +import Lib (factors) + +main :: IO () +main = putStr $ show $ solve 500 + +solve :: Int -> Integer +solve n = head [tn | i <- [1 ..], let tn = triangleNumber i, (length . factors) tn > n] + +triangleNumber :: Int -> Integer +triangleNumber n = toInteger $ div (n * (n + 1)) 2 diff --git a/haskell/p13.hs b/haskell/p13.hs new file mode 100644 index 0000000..93bdc42 --- /dev/null +++ b/haskell/p13.hs @@ -0,0 +1,106 @@ +main :: IO () +main = putStr $ take 10 $ show $ sum nums + +nums :: [Integer] +nums = + [ 37107287533902102798797998220837590246510135740250, + 46376937677490009712648124896970078050417018260538, + 74324986199524741059474233309513058123726617309629, + 91942213363574161572522430563301811072406154908250, + 23067588207539346171171980310421047513778063246676, + 89261670696623633820136378418383684178734361726757, + 28112879812849979408065481931592621691275889832738, + 44274228917432520321923589422876796487670272189318, + 47451445736001306439091167216856844588711603153276, + 70386486105843025439939619828917593665686757934951, + 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b/haskell/p14.hs new file mode 100644 index 0000000..20c4797 --- /dev/null +++ b/haskell/p14.hs @@ -0,0 +1,15 @@ +import Data.Ord (comparing) +import Data.List (maximumBy) + +main :: IO () +main = putStr $ show $ fst $ maximumBy (comparing snd) $ zip range $ map collatz range + where + range :: [ Int ] + range = [1 .. 10 ^ 6 - 1] + +-- eh 12s isn't much +collatz :: Int -> Int +collatz n + | n == 1 = 1 + | even n = 1 + collatz (div n 2) + | otherwise = 1 + collatz (3 * n + 1) diff --git a/haskell/p15.hs b/haskell/p15.hs new file mode 100644 index 0000000..a35b76b --- /dev/null +++ b/haskell/p15.hs @@ -0,0 +1,3 @@ +-- formula based approach i.e, 40C20 +main :: IO () +main = putStr $ show $ div (product [21..40]) (product [1..20]) diff --git a/haskell/p16.hs b/haskell/p16.hs new file mode 100644 index 0000000..61e7f60 --- /dev/null +++ b/haskell/p16.hs @@ -0,0 +1,4 @@ +import Lib (sumOfDigits) + +main :: IO () +main = putStr $ show $ sumOfDigits (2^1000 :: Integer) diff --git a/haskell/p17.hs b/haskell/p17.hs new file mode 100644 index 0000000..80ecc74 --- /dev/null +++ b/haskell/p17.hs @@ -0,0 +1,22 @@ +--The answer is written for numbers <= 1000 + +main :: IO () +main = putStr $ show $ solve 1000 + +solve :: Int -> Int +solve n = sum $ map (length . numWord) [1 .. n] + +numWord :: Int -> [Char] +numWord n + | n == 0 = "" + | n == 1000 = "onethousand" + | n < 20 = ones !! (n - 1) + | n < 100 = tens !! (div n 10 - 2) ++ numWord (mod n 10) + | mod n 100 == 0 = numWord (div n 100) ++ "hundred" + | otherwise = numWord (div n 100) ++ "hundredand" ++ numWord (mod n 100) + where + tens :: [[Char]] + tens = ["twenty", "thirty", "forty", "fifty", "sixty", "seventy", "eighty", "ninety"] + + ones :: [[Char]] + ones = ["one", "two", "three", "four", "five", "six", "seven", "eight", "nine", "ten", "eleven", "twelve", "thirteen", "fourteen", "fifteen", "sixteen", "seventeen", "eighteen", "nineteen"]