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| author | Charles <sircharlesaze@gmail.com> | 2019-09-05 14:48:42 +0200 |
|---|---|---|
| committer | Charles <sircharlesaze@gmail.com> | 2019-09-05 14:48:42 +0200 |
| commit | f942937de1496e38f2d58d6383d03f5e254abfb6 (patch) | |
| tree | 9fd786b6988dffd17b8ebf4d227be0a17a412ea9 /haskell/wip | |
| parent | 87f0a52d00b38198bbfa36b5febb257078080d6e (diff) | |
| download | project_euler-f942937de1496e38f2d58d6383d03f5e254abfb6.tar.gz project_euler-f942937de1496e38f2d58d6383d03f5e254abfb6.tar.bz2 project_euler-f942937de1496e38f2d58d6383d03f5e254abfb6.zip | |
problem 58 haskell
Diffstat (limited to 'haskell/wip')
| -rw-r--r-- | haskell/wip/058-spiral_primes.hs | 56 |
1 files changed, 0 insertions, 56 deletions
diff --git a/haskell/wip/058-spiral_primes.hs b/haskell/wip/058-spiral_primes.hs deleted file mode 100644 index 3c620ec..0000000 --- a/haskell/wip/058-spiral_primes.hs +++ /dev/null @@ -1,56 +0,0 @@ ------- --- Spiral primes --- Problem 58 --- --- Starting with 1 and spiralling anticlockwise in the following way, --- a square spiral with side length 7 is formed. --- --- 37 36 35 34 33 32 31 --- 38 17 16 15 14 13 30 --- 39 18 5 4 3 12 29 --- 40 19 6 1 2 11 28 --- 41 20 7 8 9 10 27 --- 42 21 22 23 24 25 26 --- 43 44 45 46 47 48 49 --- --- It is interesting to note that the odd squares lie along the bottom right diagonal, --- but what is more interesting is that 8 out of the 13 numbers lying along both diagonals --- are prime; that is, a ratio of 8/13 ≈ 62%. --- If one complete new layer is wrapped around the spiral above, a square spiral --- with side length 9 will be formed. If this process is continued, what is the side --- length of the square spiral for which the ratio of primes along both diagonals --- first falls below 10%? ------- - - -main = do - print $ firstDropBellow 0.1 3 0 - -firstDropBellow :: Double -> Int -> Int -> (Int, Int, Double) -firstDropBellow percent counter n - | primesRatio < percent = (n, 2 * n + 1, primesRatio) - | otherwise = firstDropBellow percent (counter + countPrimes) (n + 1) - where primesRatio = (fromIntegral countPrimes + fromIntegral counter) - / fromIntegral (4 * n + 1) - countPrimes = length $ filter id (map isPrime corners) - corners = [dur, ddl, dul] - dur = 4 * n ^ 2 - 2 * n + 1 - ddl = 4 * n ^ 2 + 2 * n + 1 - dul = 4 * n ^ 2 + 1 - -isPrime :: Int -> Bool -isPrime 2 = True -isPrime 3 = True -isPrime x - | x < 2 = False - | x `mod` 2 == 0 || x `mod` 3 == 0 = False - | otherwise = divCheck 5 - where divCheck d - | d * d > x = True - | x `mod` d == 0 || x `mod` (d + 2) == 0 = False - | otherwise = divCheck (d + 6) - --- diagUpRight = [4 * x ^ 2 - 2 * x + 1 | x <- [1..]] --- diagdownLeft = [4 * x ^ 2 + 2 * x + 1 | x <- [1..]] --- diagUpLeft = [4 * x ^ 2 + 1 | x <- [1..]] --- diags = [diagUpRight, diagdownLeft, diagUpLeft] |
