#include <iostream>
#include <cmath>
using namespace std;
struct cc_complex
    {
        int a,b;
    };
int GCD (int A, int B)
{
    if(!B)
        return A;
    return GCD(B, A%B);
}
class c_complex
{
public:
    void sum (cc_complex z1, cc_complex z2)
    {
        int a_sum, b_sum;
        a_sum=z1.a+z2.a;
        b_sum=z1.b+z2.b;
        cout<<a_sum<<"+"<<b_sum<<"i"<<endl;
    }
    void product (cc_complex z1, cc_complex z2)
    {
        int a_product, b_product, imaginary_product;
        a_product=z1.a*z2.a;
        b_product=(z1.b*z2.b)*(-1);
        imaginary_product=z1.a*z2.b+z2.a*z1.b;
        cout<<a_product<<"+"<<imaginary_product<<"i"<<"*"<<b_product<<endl;
    }
    void subtract (cc_complex z1, cc_complex z2)
    {
        int a_subtract, b_subtract, z_subtract;
        a_subtract=z1.a-z2.a;
        b_subtract=z1.b-z2.b;
        if (z1.b>z2.b)
        cout<<a_subtract<<"+"<<b_subtract<<"i"<<endl;
        else if (z1.b<z2.b)
        cout<<a_subtract<<b_subtract<<"i"<<endl;
        else if (z1.b==z2.b) cout<<a_subtract<<endl;
    }
    void division (cc_complex z1, cc_complex z2)
    {
        int cmmdc=GCD(z1.a+z2.a,z1.b+z2.b),a_simplified,b_simplified,z1asmp,z2asmp,z1bsmp,z2bsmp,aux;
        if (cmmdc==1)
            cout<<z1.a<<"+"<<z1.b<<"i"<<"/"<<z2.a<<"+"<<z2.b<<"i"<<endl;
        else if (cmmdc!=1 && ((z2.a+z2.b)%(z1.a+z1.b)==0) || ((z1.a+z1.b)%(z2.a+z2.b)==0))
        {
            cmmdc=GCD(z1.a,z1.b);
            z1asmp=z1.a/cmmdc;
            z1bsmp=z1.b/cmmdc;
            aux=cmmdc;
            cmmdc=GCD(z2.a,z2.b);
            if (aux>cmmdc)
            {
            z2asmp=z2.a/cmmdc;
            z2bsmp=z2.b/cmmdc;
            }
            else if (aux<cmmdc)
            {
            z2asmp=z2.a/aux;
            z2bsmp=z2.b/aux;
            }
            cout<<z1asmp<<"/"<<z2bsmp<<endl;
        }
        else if (cmmdc!=1 && ((z2.a+z2.b)%(z1.a+z1.b)!=0) || ((z1.a+z1.b)%(z2.a+z2.b)!=0))
        {
            cmmdc=GCD(z1.a,z1.b);
            z1asmp=z1.a/cmmdc;
            z1bsmp=z1.b/cmmdc;
            cmmdc=GCD(z2.a,z2.b);
            z2asmp=z2.a/cmmdc;
            z2bsmp=z2.b/cmmdc;
            cout<<z1asmp<<"+"<<z1bsmp<<"i"<<"/"<<z2asmp<<"+"<<z2bsmp<<"i"<<endl;
        }

    }
    void expr (cc_complex z1, cc_complex z2)
    {
        long first, second, third, fourth, fifth, sixth, seventh, eight;
        first=z1.a*z1.a*z2.a*z2.a;
        second=2*z1.b*z1.b*z2.b*z2.b;
        third=z1.a*z1.a*z2.a*z2.b;
        fourth=third;
        fifth=(-1)*(z2.b*z1.b*z1.b);
        sixth=z1.a*z1.a*z2.b*z2.b;
        seventh=z1.b*z1.b*z2.a*z2.a;
        eight=4*z1.a*z1.b*z2.a*z2.b;
        cout<<first+second-sixth-seventh-eight<<"+"<<2*(third+fourth-fifth)<<"i";
    }

};
int main ()
{
    c_complex exprs;
    cc_complex cpx1,cpx2;
    cout<<"Primul numar:"<<endl<<"Partea reala: ";
    cin>>cpx1.a;
    cout<<"Partea imaginara: ";
    cin>>cpx1.b;
    cout<<endl;

    cout<<"Al doilea numar:"<<endl<<"Partea reala: ";
    cin>>cpx2.a;
    cout<<"Partea imaginara: ";
    cin>>cpx2.b;
    cout<<endl;

    cout<<"Suma este: ";
    exprs.sum(cpx1,cpx2);
    cout<<"Produsul este: ";
    exprs.product(cpx1,cpx2);
    cout<<"Diferenta este: ";
    exprs.subtract(cpx1,cpx2);
    cout<<"Raportul este: ";
    exprs.division(cpx1,cpx2);
    cout<<"z1*z2+|z2|+conjugat(z2)+z1^2*z2^2= ";
    exprs.expr(cpx1,cpx2);
}