please complete code in C++ only. show complete code and show it debugs

(Optional) Write a program that asks for two different complex numbers in rectangular form, and print out their (1) sum, and (2) product in rectangular form. Note: Complex addition: (a+ jb)+(c+ jd) (a+c)+j(b+d) Complex multiplication: (a+ jb) (c+ jd)-(ac-bd)+ j(ad + bc) Test-cases: (I) Addition: (3.1+j2.8)+(4.5-j69)-(7.6-j4.1) Multiplication: (3.1+j2.8)(45-j6.9)- (33.27-j8.79) (2) Adition: (100.838-j1.947)+(56.23-j429.9)-(157.07-j431.85) Multiplication: (100.838-j1.947)(56.23-j429.9) (483.1-j43460.0)