a complex number can be represented on the form $"$re $+$ lm $*$ l$"$ where:

re is the real part

lm is the imaginary part

l$^2==-1$

Suppose we have two complex numbers, $1)$ re$1+$ lm$1*$ l and $2)$ re$2+$ lm$2*$ l$,$ the addition of these numbers will look like $($re$1+$ re$2)+($lm$1+$ lm$2)*$ l$.$ Create a class that allows you to add two complex numbers based on the following skeleton. You are required to feed the complex numbers in the following way: java ComplexNumber $1234.$ you will dynamically feed two complex numbers, $1+2*$ l and $3+4*$ l$,$ and then get $4+6*$ l as the output.

class ComplexNumber $\{$

private int re;

private int lm;

$//$Constructor

public ComplexNumber$($int r$,$ int l$)\{$

$\}$

$//$display a complex number

public void show$()\{$

$\}$

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

$\}$

$\}$