#include<iostream>
#include<stdio.h>
using namespace std;


class Vector {
    int x, y;
public:
    Vector();
    Vector(int _x, int _y);
    Vector operator+(Vector u);
    Vector operator-(Vector u);
    Vector operator*(int t);
    Vector operator/(int t);

    void scan() {
        cin >> x >> y;
    }
    void print() {
        cout << "(" << x <<", " << y << ")" << endl;
    }
    int getX() {
        return x;
    }
    int getY() {
        return y;
    }
    void setX(int _x) {
        x = _x;
    }
    void setY(int _y) {
        y = _y;
    }
};

int cross(Vector u, Vector v);

Vector::Vector() {
    /// TODO:
}

Vector::Vector(int _x, int _y) {
    /// TODO:
}

Vector Vector::operator+(Vector u) {
    /// TODO:
}

Vector Vector::operator-(Vector u) {
    /// TODO:
}

Vector Vector::operator*(int t) {
    /// TODO:
}

Vector Vector::operator/(int t) {
    /// TODO:
}

int cross(Vector u, Vector v) {
    /// TODO:
}


int updateScore(Vector u, int x, int y, char error[]) {
    if(u.getX() != x || u.getY() !=y) {
        cout <<"! "<<error<<" !"<< endl;
        return 0;
    }
    return 1;
}

int grader() {
    int score = 0;
    cout << "DEFAULT CONSTRUCTOR:\n";
    Vector u, v;
    cout << "By default u and v both are set to (0, 0)"<<endl;
    u.print();
    v.print();
    score += updateScore(u, 0, 0, "Problem with default constructor");
    score += updateScore(v, 0, 0, "Problem with default constructor");
    cout << "press any key!";
    getchar();
    cout << "\n\n";


    cout << "PARAMETERIZED CONSTRUCTOR:\n";
    Vector du(4, 2);
    Vector dv(2, 0);
    du.print();
    dv.print();
    score += updateScore(du, 4, 2, "Problem with parameterized constructor");
    score += updateScore(dv, 2, 0, "Problem with parameterized constructor");
    cout << "press any key!";
    getchar();
    cout << "\n\n";


    cout << "+ OPERATOR:\n";
    cout << "Setting the new value of u to (10, 2)"<<endl;
    u.setX(10); u.setY(2);
    cout << "New value of u"<<endl;
    u.print();
    u = u + du;
    cout << "u vector is increased by another vector du(4, 2)"<<endl;
    u.print();
    score += updateScore(u, 14, 4, "Problem with +operator")*3;
    cout << "press any key!";
    getchar();
    cout << "\n\n";


    cout << "- OPERATOR:\n";
    cout << "Setting the new value of v to (6, 8)"<<endl;
    v.setX(6); v.setY(8);
    v.print();
    v = v - dv;
    cout << "v vector is decreased by another vector dv(2, 0)"<<endl;
    v.print();
    score += updateScore(v, 4, 8, "Problem with -operator")*2;
    cout << "press any key!";
    getchar();
    cout << "\n\n";


    cout << "CROSS PRODUCT:\n";
    cout << "value of cross product of vector u and v"<<endl;
    int c = cross(u, v);
    cout << c << endl;
    score += updateScore(Vector(96, 0), c, 0, "Problem with cross product");
    cout << "value of cross product of vector v and u"<<endl;
    c = cross(v, u);
    cout << c << endl;
    score += updateScore(Vector(-96, 0), c, 0, "Problem with cross product");
    cout << "press any key!";
    getchar();
    cout << "\n\n";


    cout << "*OPERATOR:\n";
    cout << "u vector is scaled up by a scaler 3"<<endl;
    u = u * 3;
    u.print();
    score += updateScore(u, 42, 12, "Problem with *operator")*2;
    cout << "press any key!";
    getchar();
    cout << "\n\n";


    cout << "/OPERATOR:\n";
    cout << "v vector is scaled down by a scaler 2"<<endl;
    v = v / 2;
    v.print();
    score += updateScore(v, 2, 4, "Problem with /operator")*2;
    cout << "press any key!";
    getchar();
    cout << "\n\n";


    return score;
}


void report() {
    Vector u, v;

    cout << "REPORT:\n";
    int id;
    cout << "Your student ID: ";
    cin >> id;
    u.setX((id%13)*2);
    u.setY((id%23)*2);
    v.setX((id%29)*2);
    v.setY((id%11)*2);

    cout << "New value of u and v set according to your input"<<endl;
    u.print();
    v.print();

    cout << "area of parallelogram formed by point (0, 0), (u.x, u.y) and (v.x, v.y)!"<<endl;
    double area = cross(u, v);
    cout << area << endl;

    cout << "4'th point of parallelogram formed by point (0, 0), (u.x, u.y) and (v.x, v.y)!!"<<endl;
    Vector w = u + v;
    w.print();

    cout << "Can you determine the intersecting points of the arcs of the parallelogram!!!"<<endl;
    /// TODO:
    w.print();

    return;
}


void test() {
    Vector u(4, 6), v(-2, 4), w;
    w = u + v;
    w.print();
    w = u - v;
    w.print();
    w = u / 2;
    w.print();
    w = v * 2;
    w.print();
    cout << cross(u, v) << endl;
    u.setX(20);
    u.print();
    cout << v.getX() << " " << v.getY() << endl;
    return;
}

int main() {
    test();
    report();
    cout<< "Your score of the assignment: " << grader() << endl;
}