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问题描述
(A,B),(B,A),(D,C),(E,F),(C,D),( F,E)] 。如何返回 [(A,B),(C,D),(E,F)]
的列表?我发现的唯一解决方案是去除重复的元组,我能想到的唯一解决方案是天真的O(n ^ 2)解决方案。有没有办法有效地做到这一点?解决方案
如果对的组件类型在类 Ord
,你可以在O(n log n)时间内完成它:
import Data.List(排序,组)
sortPair :: Ord a => (a,a) - > (a,a)
sortPair(x,y)
| x |否则=(y,x)
uniques :: Ord a => [(a,a)] - > [(a,a)]
uniques =地图头。组。排序。 map sortPair
所以,如果我们定义
data T = A | B | C | D | E | F派生(Eq,Ord,Show)
我们有,例如:
> (A,B),(B,A),(D,C),(E,F),(C,D),(F,E)]
[(A,B), C,D),(E,F)]
I have a list of tuples of the form [(A,B),(B,A),(D,C),(E,F),(C,D),(F,E)]
. How do I return a list that is just [(A,B),(C,D),(E,F)]
? The only solutions I've found are to remove repeated tuples, and the only solutions I can think of are the naive O(n^2) solutions. Is there a way to do this efficiently?
解决方案
If the type of the components of your pairs is in the class Ord
, you can do it in O(n log n) time:
import Data.List (sort, group)
sortPair :: Ord a => (a, a) -> (a, a)
sortPair (x, y)
| x <= y = (x, y)
| otherwise = (y, x)
uniques :: Ord a => [(a, a)] -> [(a, a)]
uniques = map head . group . sort . map sortPair
So, if we define
data T = A | B | C | D | E | F deriving (Eq, Ord, Show)
we have, for your example:
> uniques [(A,B),(B,A),(D,C),(E,F),(C,D),(F,E)]
[(A,B),(C,D),(E,F)]
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