Why does append overwrite the list?

Question

I was trying some questions from hackerrank and came across this question https://www.hackerrank.com/challenges/list-comprehensions/problem

I tried this solution

Answer 1

This line clears the list by deleting all its items. The list stays the same variable (same object), only its contents is modified:

SL[:] = []

Later in the code is this line (in a loop):

L.append(SL)

But SL is the same variable each time. All items in L refer to the same list SL. So when SL is modified, all items in L refer to the new contents of SL.

This can be fixed by creating a new list for each result.

Answer 2

Indeed your code does not work, and it is due to the line SL[:] = []: it changes the content of the list referenced by SL. By doing this, you change all the elements of L, because you always append the list referenced by SL to L in the loop. Replacing with SL = [] will fix the problem, because in this case you create a new list without overwriting the previous one.
It could be fixed, and also be more readable and easier to debug (if needed) with the following suggestion:

L = []
for i in range(0, x + 1):
    for j in range(0, y + 1):
        for k in range(0, z + 1):
            if i + j != n and i + k != n and k + j != n and i + j + k != n:
                L.append([i, j, k])
print(L)

With x=1, y=2, z=3, n=4: it gives me the following output:

[[0, 0, 0], [0, 0, 1], [0, 0, 2], [0, 0, 3], [0, 1, 0], [0, 1, 1], [0, 1, 2], [0, 2, 0], 
 [0, 2, 1], [0, 2, 3], [1, 0, 0], [1, 0, 1], [1, 0, 2], [1, 1, 0],  [1, 1, 1], [1, 2, 0]]