Analyze the following code.

public class Test $\{$

public void main$($String$[]$ args$)\{$

int$[]$ x $=$ new int$[3]$;

System.out.println$("$x$[0]$ is $"+$ x$[0])$;

$\}$

$\}$

Group of answer choices

The program runs fine and displays x$[0]$ is $0.$

The program has a syntax error because the main method definition is incorrect

The program has a runtime error because the array element x$[0]$ is not defined.

The program has a runtime error because the array elements are not initialized.