In C++, the size of an array is fixed when it is declared, and while you can access off the end of the declared array size, this is very dangerous and the source of hard-to-track-down bugs:
int i[10];
i[10] = 2; // Legal but very dangerous! Writing on memory you don't know about
It seems that you want array-like behavior, but without all elements being filled. Traditionally, this is in the realms of hash-tables. Vectors are not such a good solution here as you will have empty elements taking up space, much better is something like a map, where you can test if an element exists by searching for it and interpreting the result:
#include <map>
#include <string>
// Declare the map - integer keys, string values
std::map<int, std::string> a;
// Add an item at an arbitrary location
a[2] = std::string("A string");
// Find a key that isn't present
if(a.find(1) == a.end())
{
// This code will be run in this example
std::cout << "Not found" << std::endl;
}
else
{
std::cout << "Found" << std::endl;
}
One word of warning: Use the above method to find if a key exists, rather than something like testing for a default value
if(a[2] == 0)
{
a[2] = myValueToPutIn;
}
as the behavior of a map is to insert a default constructed object on the first access of that key value, if nothing is currently present.