So I'm trying to find all sub-lists of a list and here is what I have now. I'm new to Python and I don't understand why " Q3_ans=set(ans)" raises an error. I've tried to convert a list to set before and it works.
def f2(seq):
'''
This is the base case of the recursion from function all_sublists
'''
assert len(seq)==2
assert isinstance(x,list)
a,b=seq
return [[a],[b],[a,b]]
def all_sublists(x):
'''
This function will generate all of the sublists of a list, not including the empty one, using recursion
'''
assert isinstance(x,list)
ans=[]
for i in range(0,len(x)-1):
for j in range(1,len(x)):
temp=[x[i],x[j]]
temp=[f2(temp)]
ans.extend(temp)
Q3_ans=set(ans)
return Q3_ans
Here is the error when I run my code
y=[1,2,3,4,5]
all_sublists(y)
---------------------------------------------------------------------------
TypeError Traceback (most recent call last)
<ipython-input-108-f8b1bb0a7001> in <module>
----> 1 all_sublists(y)
<ipython-input-106-84f4f752e98e> in all_sublists(x)
10 temp=[f2(temp)]
11 ans.extend(temp)
---> 12 Q3_ans=set(ans)
13 return Q3_ans
TypeError: unhashable type: 'list'
Here's the essence of the problem:
>>> set([[["a"],["b"],["a","b"]]])
Traceback (most recent call last):
File "<stdin>", line 1, in <module>
TypeError: unhashable type: 'list'
So, what does that mean?
set([iterable])
Return a new set ... object whose elements are taken from iterable. The elements of a set must be hashable.
hashable
An object is hashable if it has a hash value which never changes
during its lifetime (it needs a __hash__()
method), and can be
compared to other objects (it needs an __eq__()
method). Hashable
objects which compare equal must have the same hash value.
Hashability makes an object usable as a dictionary key and a set
member, because these data structures use the hash value internally.
All of Python’s immutable built-in objects are hashable; mutable
containers (such as lists or dictionaries) are not.
The keywords here are mutable
Mutable objects can change their value but keep their id().
and immutable
An object with a fixed value. Immutable objects include numbers,
strings and tuples. Such an object cannot be altered. A new object has
to be created if a different value has to be stored. They play an
important role in places where a constant hash value is needed, for
example as a key in a dictionary.
So, you can't use a list
as set
element. A tuple
would work:
>>> set([(("a"),("b"),("a","b"))])
{('a', 'b', ('a', 'b'))}
As you can figure out why, mutable types like lists can't be hashable, so can't be converted to a set
. You can try returning tuple
instead; an immutable counterpart for list
:
def f2(seq):
assert len(seq)==2
assert isinstance(x, tuple) # what's `x` actually?
a, b = seq
return ((a), (b), (a,b))
def all_sublists(x):
assert isinstance(x, list)
ans = []
for i in range(0, len(x) - 1):
for j in range(1, len(x)):
temp = (x[i], x[j])
temp = [f2(temp)]
ans.extend(temp)
Q3_ans = set(tuple(ans))
return Q3_ans
then
all_sublists([1, 2, 3])
You can read more about tuple
type in the documentation.