How to forward declare array size without relying on #define?

I want to build a library (i.e., a collection of functions) acting on vectors/matrices of fixed size. I want to specify this fixed size in the main file, without touching the library. I could do this with using #define, but I view this approach as a hack, rather than the `right' way. What other approaches do I have to achieve this goal? The idea is to write a library once, and then never to touch, or even look at it again.

Here is the following toy example, program.cpp

//program.cpp -- Definition of my_external_constant here
const unsigned int array_size = 10;
#define my_external_constant array_size // I am looking for alternatives.
#include "helper.h"

int main(int argc, char* argv[]) {

    test_function1();

    unsigned int X[array_size];
    X[0]=500;X[1]=0;X[2]=9;X[3]=111;X[4]=0;
    print_vector(X,3);

    return 0;
}

Then helper.h

//helper.h
#ifndef HELPER_H
#define HELPER_H

#include<iostream>

#ifndef my_external_constant    // I want to avoid this...
#define my_external_constant 1  //...and this...
#endif                          //...and this.

void test_function1(void);

//The library uses helper_max_size everywhere, and its value is inherited from outside.
const unsigned int helper_max_size = my_external_constant;
void print_vector(unsigned int[helper_max_size], const unsigned int);

#endif /* HELPER_H */

And the implementation helper.cpp

//helper.cpp
#include "helper.h"

void test_function1(void) {
    std::cout << "Hello world!\n";
    return;
}

void print_vector(unsigned int my_vector[helper_max_size], const unsigned int my_size) {

    for (unsigned int i=0;i<my_size;++i) {
        std::cout << my_vector[i] << " ";
    }
    std::cout << "\n";

    return;
}

The program should consist of a single translation unit only, i.e. it should be compiled along the lines:

g++ -o program program.cpp helper.h helper.cpp

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Related:

How do I use extern to share variables between source files?

Declare array size in header file without #define's