prolog:列表中最大重复的元素 [英] prolog: maximally repeated element in a list
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问题描述
关于如何检索列表中重复次数最多的元素的任何想法.
Any ideas how to retrieve the maximally repeated element in a list.
即像下面这样,
?- maxRepeated([1,2,7,3,6,1,2,2,3],M).
M = 2.
推荐答案
此解决方案对列表进行排序,允许元素按顺序出现 -- 无需维护所有元素,一旦它们以后不再重复.
This solution sorts the list, granting elements to appear sequentially -- there's no need to maintain all elements, once they're not repeating later.
您的 prolog 解释器必须具有函数 msort()
,该函数对维护重复条目的列表进行排序.
Your prolog interpreter must have the function msort()
, which sorts a list maintaining duplicated entries.
maxRepeated([], []).
maxRepeated(L, E) :-
msort(L, [H|T]),
maxRepeated(T, H, H, 1, 0, E).
maxRepeated([], H, _, C1, C2, H) :- C1 >= C2.
maxRepeated([], _, X, C1, C2, X) :- C1 < C2.
maxRepeated([H|T], H, LastF, C1, C2, E) :-
maxRepeated(T, H, LastF, C1 + 1, C2, E).
maxRepeated([X|T], H, LastF, C1, C2, E) :-
(
C1 > C2
-> maxRepeated(T, X, H, 1, C1, E)
; maxRepeated(T, X, LastF, 1, C2, E)
).
复杂度由使用的排序给出,通常O(n log n)
,一次,排序后,列表只遍历一次,聚合元素并跟踪最频繁的一个.
The complexity is given by the sort used, usually O(n log n)
, once, after the sort, the list is traversed only once, aggregating the elements and keeping track of the most frequent one.
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