Magic squares of doubly even order: Difference between revisions
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limit = sqr + 1 |
limit = sqr + 1 |
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series |
series |
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-- For powers of 2, the (append not) 'magic' series directly |
-- For integer powers of 2, the (append not) 'magic' series directly |
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-- yields the truth table that we need |
-- yields the truth table that we need |
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| isPowerOf 2 n = |
| isPowerOf 2 n = |
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magicSeries $ floor (logBase 2 (fromIntegral sqr)) |
magicSeries $ floor (logBase 2 (fromIntegral sqr)) |
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-- where n is not |
-- where n is not an integer power of 2, we can replicate a |
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-- minimum truth table, horizontally and vertically |
-- minimum truth table, horizontally and vertically |
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| otherwise = (concat . concat . concat . |
| otherwise = (concat . concat . concat . |
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where |
where |
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xs = magicSeries (n - 1) |
xs = magicSeries (n - 1) |
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splitEvery :: Int -> [a] -> [[a]] |
splitEvery :: Int -> [a] -> [[a]] |
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splitEvery n xs |
splitEvery n xs |
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diagonals :: [[Int]] -> [[Int]] |
diagonals :: [[Int]] -> [[Int]] |
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diagonals xs = |
diagonals xs = |
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(\x -> zipWith (!!) x [0..]) <$> [xs, reverse xs] |
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main2 :: IO () |
main2 :: IO () |
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