Minimum number of operations for 1 to N(this is wrong why?)

general
1

You can do +1, *2, *3

n=int(input())
k=n
l=[n]
while k>=2:
    if k%9==0:
        k=int(k/3)
        l.append(k)
    elif k%6==0:
        k=int(k/3)
        l.append(k)
    elif k%4==0:
        k=int(k/2)
        l.append(k)
    elif k%3==0:
        k=int(k/3)
        l.append(k)
    elif (k-1)%3==0:
        k=k-1
        l.append(k)
    elif k%2==0:
        k=int(k/2)
        l.append(k)
    else:
        k=k-1
        l.append(k)
print(len(l)-1)
print(*l[::-1])