void abort() { };
                        
                                                                                                                                                          
                                                                         
extern int __VERIFIER_nondet_int();
                        
/*@ 
    requires (1);
    ensures ((cond != 0));
@*/
void assume_abort_if_not(int cond) {
  if(!cond) {abort();}
}
/*@ 
    requires ((1 <= cond)) && (cond != 0);
    ensures ((1 <= cond)) && (1);
@*/
void __VERIFIER_assert(int cond) {
    if (!(cond)) {
    ERROR:
        {/*@ assert(0); */;}
    }
    return;
}

int main() {
    long long a, b, p, q, r, s;
    int x, y;
    x = __VERIFIER_nondet_int();
    assume_abort_if_not(x>=0 && x<=2);
    y = __VERIFIER_nondet_int();
    assume_abort_if_not(y>=0 && y<=2);
    assume_abort_if_not(x >= 1);
    assume_abort_if_not(y >= 1);

    a = x;
    b = y;
    p = 1;
    q = 0;
    r = 0;
    s = 1;

/*@
loop invariant (((((((((((((r == 0) && (y <= 2)) && (s == 1)) && (0 <= x)) && (b == y)) && (q == 0)) && (1 <= y)) && (a == x)) && (x <= 2)) && (p == 1)) || (((((((((((__int128) a + ((long long) y * 2)) == ((__int128) b + x)) && (((__int128) r + 1) == 0)) && (s == 1)) && (1 <= a)) && (b == y)) && (q == 0)) && (1 <= y)) && (x <= 2)) && (p == 1))) || ((((((((((r == 0) && (a <= 1)) && (b == (((__int128) q * x) + ((__int128) y * s)))) && (y <= 2)) && (s == 1)) && (0 <= x)) && (1 <= b)) && (1 <= y)) && (a == x)) && (p == 1))));
@*/
    while (1) {
        __VERIFIER_assert(1 == p * s - r * q);
        __VERIFIER_assert(a == y * r + x * p);
        __VERIFIER_assert(b == x * q + y * s);

        if (!(a != b))
            break;

        if (a > b) {
            a = a - b;
            p = p - q;
            r = r - s;
        } else {
            b = b - a;
            q = q - p;
            s = s - r;
        }
    }
    
    __VERIFIER_assert(a - b == 0);    
    __VERIFIER_assert(p*x + r*y - b == 0);
    __VERIFIER_assert(q*r - p*s + 1 == 0);
    __VERIFIER_assert(q*x + s*y - b == 0);
    return 0;
}