while-loop problem for acess a list element

• I want to append each element of [1,2] to [[1], [2], [3]] and as a consequence, the final array that I want is [[1,1], [1,2], [2,1], [2,2], [3,1], [3,2]]

  But my code has a mistake I couldn’t recognize it yet, and the result of the python code below is [[1, 1, 2], [1, 1, 2], [2, 1, 2], [2, 1, 2], [3, 1, 2], [3, 1, 2]]

The python code:

tor=[]
arr=[1,2]
arz=[[1], [2], [3]]

each=0
while each<len(arz):
       
    eleman=arz[each]
    index=0
    while index < len(arr):
        k=arr[index]
        eleman=arz[each]
        eleman.append(k)
        tor.append(eleman)
        index = index+1
    
    each=each+1

Answer

it would be eleman=arz[each].copy() as lists are mutable so every time you change an element in the original list it will get reflected in the resultant array