mods.cpp

#include <iostream>
#include <utility>
using namespace std;

template<class T, T M>
class mods {
	T v;
	public:
	mods() {}
	mods(T v) : v(v%M) {}
	inline friend bool operator== (mods const& l, mods const& r) { return l.v == r.v; }
	inline friend bool operator< (mods const& l, mods const& r) { return l.v < r.v; }
	inline friend mods operator+ (mods const& l, mods const& r) { return mods(l.v+r.v); }
	inline friend mods operator- (mods const& l, mods const& r) { return mods(l.v-r.v); }
	inline friend mods operator* (mods const& l, mods const& r) { return mods(l.v*r.v); }
	inline friend mods operator/ (mods const& l, mods const& r) { return mods(l.v/r.v); }	//XXX
	inline friend mods operator+ (mods const& l, T const& r) { return mods(l.v+(r%M)); }
	inline friend mods operator- (mods const& l, T const& r) { return mods(l.v-(r%M)); }
	inline friend mods operator* (mods const& l, T const& r) { return mods(l.v*(r%M)); }
	inline friend mods operator/ (mods const& l, T const& r) { return mods(l.v/(r%M)); }	//XXX
	inline friend ostream& operator << (ostream& os, mods const& r) { os << r.v; return os; }
	inline friend istream& operator >> (istream& is, mods& r) { is >> r.v; r.v %= M; return is; }
};

int main() {
	using namespace rel_ops;
	mods<int, 10> a(13), b(12), c;
	cin >> c;
	cout << boolalpha << (a>b) << endl;
	cout << a+b+c << endl;
	return 0;
}