what does it print?

#include <iostream>
using namespace std;
class A {
    int k;
public:
    A(const int i = 0) :k(i) { cout << 'k'; }
    A(const A& a) { k = a.k; cout << 'c'; }
    void operator=(A &a) { k = a.k; f(a); cout << 'e'; }
    A &operator*(int i) { cout << i*100; return *this; }
    void f(A a) { k++; cout << 'f'; }
    ~A() { cout << 'd'; }
};

A &operator*(int i, A& a) { cout << i; return a; }

int main() {
    A a = A(1); cout << '\n';
    a = a * 2; cout << '\n';
    a = 3 * a; cout << '\n';
}