关于python:列表列表的所有组合

All combinations of a list of lists

我基本上是在寻找一个python版本的List>组合

给定一个列表列表,我需要一个新列表,它列出了列表之间所有可能的项目组合。

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[[1,2,3],[4,5,6],[7,8,9,10]] -> [[1,4,7],[1,4,8],...,[3,6,10]]

列表的数量是未知的,所以我需要一些适用于所有情况的东西。 优点加分!


你需要itertools.product

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>>> import itertools
>>> a = [[1,2,3],[4,5,6],[7,8,9,10]]
>>> list(itertools.product(*a))
[(1, 4, 7), (1, 4, 8), (1, 4, 9), (1, 4, 10), (1, 5, 7), (1, 5, 8), (1, 5, 9), (1, 5, 10), (1, 6, 7), (1, 6, 8), (1, 6, 9), (1, 6, 10), (2, 4, 7), (2, 4, 8), (2, 4, 9), (2, 4, 10), (2, 5, 7), (2, 5, 8), (2, 5, 9), (2, 5, 10), (2, 6, 7), (2, 6, 8), (2, 6, 9), (2, 6, 10), (3, 4, 7), (3, 4, 8), (3, 4, 9), (3, 4, 10), (3, 5, 7), (3, 5, 8), (3, 5, 9), (3, 5, 10), (3, 6, 7), (3, 6, 8), (3, 6, 9), (3, 6, 10)]


最优雅的解决方案是在python 2.6中使用itertools.product。

如果您不使用Python 2.6,则itertools.product的文档实际上显示了一个等效的函数来以"手动"的方式执行产品:

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def product(*args, **kwds):
    # product('ABCD', 'xy') --> Ax Ay Bx By Cx Cy Dx Dy
    # product(range(2), repeat=3) --> 000 001 010 011 100 101 110 111
    pools = map(tuple, args) * kwds.get('repeat', 1)
    result = [[]]
    for pool in pools:
        result = [x+[y] for x in result for y in pool]
    for prod in result:
        yield tuple(prod)


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listOLists = [[1,2,3],[4,5,6],[7,8,9,10]]
for list in itertools.product(*listOLists):
  print list;

我希望你发现它和我第一次遇到它时一样优雅。


此任务的直接递归没有错,如果您需要一个适用于字符串的版本,这可能符合您的需求:

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combinations = []

def combine(terms, accum):
    last = (len(terms) == 1)
    n = len(terms[0])
    for i in range(n):
        item = accum + terms[0][i]
        if last:
            combinations.append(item)
        else:
            combine(terms[1:], item)


>>> a = [['ab','cd','ef'],['12','34','56']]
>>> combine(a, '')
>>> print(combinations)
['ab12', 'ab34', 'ab56', 'cd12', 'cd34', 'cd56', 'ef12', 'ef34', 'ef56']

Numpy可以做到:

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 >>> import numpy
 >>> a = [[1,2,3],[4,5,6],[7,8,9,10]]
 >>> [list(x) for x in numpy.array(numpy.meshgrid(*a)).T.reshape(-1,len(a))]
[[ 1, 4, 7], [1, 5, 7], [1, 6, 7], ....]


可以使用base python。 代码需要一个函数来展平列表列表:

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def flatten(B):    # function needed for code below;
    A = []
    for i in B:
        if type(i) == list: A.extend(i)
        else: A.append(i)
    return A

然后一个人可以运行:

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L = [[1,2,3],[4,5,6],[7,8,9,10]]

outlist =[]; templist =[[]]
for sublist in L:
    outlist = templist; templist = [[]]
    for sitem in sublist:
        for oitem in outlist:
            newitem = [oitem]
            if newitem == [[]]: newitem = [sitem]
            else: newitem = [newitem[0], sitem]
            templist.append(flatten(newitem))

outlist = list(filter(lambda x: len(x)==len(L), templist))  # remove some partial lists that also creep in;
print(outlist)

输出:

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[[1, 4, 7], [2, 4, 7], [3, 4, 7],
[1, 5, 7], [2, 5, 7], [3, 5, 7],
[1, 6, 7], [2, 6, 7], [3, 6, 7],
[1, 4, 8], [2, 4, 8], [3, 4, 8],
[1, 5, 8], [2, 5, 8], [3, 5, 8],
[1, 6, 8], [2, 6, 8], [3, 6, 8],
[1, 4, 9], [2, 4, 9], [3, 4, 9],
[1, 5, 9], [2, 5, 9], [3, 5, 9],
[1, 6, 9], [2, 6, 9], [3, 6, 9],
[1, 4, 10], [2, 4, 10], [3, 4, 10],
[1, 5, 10], [2, 5, 10], [3, 5, 10],
[1, 6, 10], [2, 6, 10], [3, 6, 10]]


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from itertools import product
list_vals = [['Brand Acronym:CBIQ', 'Brand Acronym :KMEFIC'],['Brand Country:DXB','Brand Country:BH']]
list(product(*list_vals))

输出:

[('Brand Acronym:CBIQ', 'Brand Country :DXB'),
('Brand Acronym:CBIQ', 'Brand Country:BH'),
('Brand Acronym :KMEFIC', 'Brand Country :DXB'),
('Brand Acronym :KMEFIC', 'Brand Country:BH')]