Making a flat list out of list of lists in Python

I wonder whether there is a shortcut to make a simple list out of list of lists in Python.

I can do that in a for loop, but maybe there is some cool "one-liner"? I tried it with reduce, but I get an error.

Code

l = [[1, 2, 3], [4, 5, 6], [7], [8, 9]]
reduce(lambda x, y: x.extend(y), l)

Error message

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "<stdin>", line 1, in <lambda>
AttributeError: 'NoneType' object has no attribute 'extend'

flat_list = [item for sublist in l for item in sublist]

which means:

for sublist in l:
    for item in sublist:
        flat_list.append(item)

is faster than the shortcuts posted so far. ( l is the list to flatten.)

Here is a the corresponding function:

flatten = lambda l: [item for sublist in l for item in sublist]

For evidence, as always, you can use the timeit module in the standard library:

$ python -mtimeit -s'l=[[1,2,3],[4,5,6], [7], [8,9]]*99' '[item for sublist in l for item in sublist]'
10000 loops, best of 3: 143 usec per loop
$ python -mtimeit -s'l=[[1,2,3],[4,5,6], [7], [8,9]]*99' 'sum(l, [])'
1000 loops, best of 3: 969 usec per loop
$ python -mtimeit -s'l=[[1,2,3],[4,5,6], [7], [8,9]]*99' 'reduce(lambda x,y: x+y,l)'
1000 loops, best of 3: 1.1 msec per loop

Explanation: the shortcuts based on + (including the implied use in sum ) are, of necessity, O(L**2) when there are L sublists -- as the intermediate result list keeps getting longer, at each step a new intermediate result list object gets allocated, and all the items in the previous intermediate result must be copied over (as well as a few new ones added at the end). So (for simplicity and without actual loss of generality) say you have L sublists of I items each: the first I items are copied back and forth L-1 times, the second I items L-2 times, and so on; total number of copies is I times the sum of x for x from 1 to L excluded, ie, I * (L**2)/2 .

The list comprehension just generates one list, once, and copies each item over (from its original place of residence to the result list) also exactly once.


You can use itertools.chain() :

>>> import itertools
>>> list2d = [[1,2,3],[4,5,6], [7], [8,9]]
>>> merged = list(itertools.chain(*list2d))

or, on Python >=2.6, use itertools.chain.from_iterable() which doesn't require unpacking the list:

>>> import itertools
>>> list2d = [[1,2,3],[4,5,6], [7], [8,9]]
>>> merged = list(itertools.chain.from_iterable(list2d))

This approach is arguably more readable than [item for sublist in l for item in sublist] and appears to be faster too:

[me@home]$ python -mtimeit -s'l=[[1,2,3],[4,5,6], [7], [8,9]]*99;import itertools' 'list(itertools.chain.from_iterable(l))'
10000 loops, best of 3: 24.2 usec per loop
[me@home]$ python -mtimeit -s'l=[[1,2,3],[4,5,6], [7], [8,9]]*99' '[item for sublist in l for item in sublist]'
10000 loops, best of 3: 45.2 usec per loop
[me@home]$ python -mtimeit -s'l=[[1,2,3],[4,5,6], [7], [8,9]]*99' 'sum(l, [])'
1000 loops, best of 3: 488 usec per loop
[me@home]$ python -mtimeit -s'l=[[1,2,3],[4,5,6], [7], [8,9]]*99' 'reduce(lambda x,y: x+y,l)'
1000 loops, best of 3: 522 usec per loop
[me@home]$ python --version
Python 2.7.3

Note from the author : This is inefficient. But fun, because monads are awesome. It's not appropriate for production Python code.

>>> sum(l, [])
[1, 2, 3, 4, 5, 6, 7, 8, 9]

This just sums the elements of iterable passed in the first argument, treating second argument as the initial value of the sum (if not given, 0 is used instead and this case will give you an error).

Because you are summing nested lists, you actually get [1,3]+[2,4] as a result of sum([[1,3],[2,4]],[]) , which is equal to [1,3,2,4] .

Note that only works on lists of lists. For lists of lists of lists, you'll need another solution.

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