Initialization of an array

I declare an array on dimension n, where n is the max number of elements that the array can contain:

int array[] = new int [n];

I have an algorithm that fills this array with values from 0 to maxValue. For example:

   array[0] = 0;
    array[1] = 1;
    array[2] = 4;
    array[3] = 5;

Let n = 8, if I print the array with:

System.out.println("array " + Arrays.toString(array));

I will have this output:

0 1 4 5 0 0 0 0

If I want check if there is the value 0 in the array, how can I do excluding the values that are derived from the initialization of the array? Basically i want consider just 0 1 4 5 and not 0 1 4 5 0 0 0 0.

This can be explained because if I have an array without value 0 for example:

    array[0] = 3;
    array[1] = 1;
    array[2] = 4;
    array[3] = 5;

Every element in the array that is not assigned, it will be 0. So for n=8 i will have 3 1 4 5 0 0 0 0 and if I check if the value 0 is in the array i will receive a positive.