Haskell Quiz/PP Pascal/Solution Burton
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{--
*Main> ppPascal 10
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
1 9 36 84 126 126 84 36 9 1
--}
--Pascal's triangle from http://www.haskell.org/haskellwiki/Blow_your_mind
pascal :: [[Int]]
pascal = iterate (\row -> zipWith (+) ([0] ++ row) (row ++ [0])) [1]
ppPascal :: Int -> IO ()
ppPascal n = putStrLn $ unlines $ map ppRow tr
where tr = take n pascal
mRow = last tr
pad = cols $ maximum $ mRow
cols n = if n < 10 then 1 else 1 + cols (n `div` 10)
ppRow r@(x:xs) = padRow ++ (showFirst x)
++ (concat $ map showRest xs) ++ padRow
where showFirst e = (show e) ++ (padR e)
showRest e = padL ++ (show e) ++ padR e
padRow = replicate ((length mRow - length r)*pad) ' '
padL = replicate (pad-1) ' '
padR d = replicate (pad-(cols d)+1) ' '