long int A[n+2]={0};
is not legal in Standard C++. There are a bunch of reasons for this and I think you stumbled over one of them.
Compilers that allow Variable Length Arrays follow the example of C99 and the array is allocated on the stack. Stack is a limited resource, usually between 1 and 10 MB for a desktop computer. If the user inputs an n
of sufficient size, the array will take up too much of the stack or breach the bounds of the stack resulting in Undefined Behaviour. of then this behaviour manifests in a segmentation fault from accessing memory that is so far off the end of the stack that it's not controlled by the program. There are typically no warnings when you overflow the stack. Often a program crash or corrupted data is the the way you find out, and it's too late to salvage the program by then.
On the other hand, a vector
allocates it's internal buffer from the freestore, and on a modern PC with virtual memory and 64 bit addressing the freestore is fantastically huge and throws an exception if you attempt to exceed what it can allocate.
Another important difference is
long int A[n+2]={0};
likely did not zero initialize the array. This is the case with g++. The first byte will be set to zero and the remainder are uninitialized. Such is the curse of using non-Standard extensions. You cannot count on the behaviour guaranteed by the Standard.
std::vector
will zero initialize the whole array or set the array to whatever value you tell it to use.