typedef a = int^;
typedef b = ()^;
typedef c = ((int xx) ss, int, (int, int))^;
typedef d = int(int x)^;

typedef e = int^^;
typedef f = ()^^;
typedef g = ((int xx) ss, int, (int, int))^^;
typedef h = int(int xx)^^;

typedef i = a^;
typedef j = b^;
typedef k = c^;
typedef l = d^;

typedef m = e^;
typedef n = f^;
typedef o = g^;
typedef p = h^;

typedef q = m^^;
typedef r = n^^;
typedef s = o^^;
typedef t = p^^;

typedef u = m^();
typedef v = ()^()^();
typedef x = (int rr)^^^(int yy)^^(int zz)^;