Converting insertion sort from vector to list using STL Lib

So I'm having problem converting this insertion sort using lists Can someone please guide me how can I do it? This is the code :

void insertion_sort(std::vector <int> &num) {
int i, j, key;
bool insertionNeeded = false;

for (j = 1; j < num.size(); j++) {
key = num[j];
insertionNeeded = false;
for (i = j - 1; i >= 0; i--) { // larger values move right

    if (key < num[i]) {
        num[i + 1] = num[i];
        insertionNeeded = true;
    }
    else
        break;
}
if (insertionNeeded)
    num[i + 1] = key;    //Put key into its proper location
  }
}