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() {
    int x, y;
    long long a, b, p, q, r, s, c, k, xy, yy;
    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;
    c = 0;
    k = 0;
    xy = (long long) x * y;
    yy = (long long) y * y;
    assume_abort_if_not(xy < 2147483647);
    assume_abort_if_not(yy < 2147483647);

/*@
loop invariant ((((((((((((((b == 1) && (s == 0)) && (p == 0)) && (y == xy)) && (r == 1)) && (a == y)) && (x == 1)) && (yy == ((long long) y * y))) && (a == 2)) && (q == 1)) || (((((((((1 <= x) && (y <= 2)) && (b == 0)) && (p == 0)) && (r == 1)) && (a == y)) && (1 <= y)) && ((((__int128) q * x) + ((__int128) y * s)) == 0)) && (x <= 2))) || ((((((((((((r == 0) && (y <= 2)) && (s == 1)) && (1 <= a)) && (b == y)) && (yy == ((long long) y * y))) && (q == 0)) && (1 <= y)) && (xy == ((long long) y * x))) && (a == x)) && (x <= 2)) && (p == 1))) || (((((((((((long long) x + 1) <= y) && (r == 0)) && (((__int128) ((long long) x * 2) + b) == y)) && (y <= 2)) && (s == 1)) && (((__int128) q + 2) == 0)) && (((__int128) b + 1) <= x)) && (a == x)) && (p == 1))));
@*/
    while (1) {
        if (!(b != 0))
            break;
        c = a;
        k = 0;

/*@
loop invariant (((((((((((((((((((r == 0) && (s == 1)) && (a == ((__int128) c + b))) && (0 <= c)) && (b == y)) && (k == 1)) && (yy == ((long long) y * y))) && (q == 0)) && (1 <= y)) && (xy == ((long long) y * x))) && (a == x)) && (x <= 2)) && (p == 1)) || ((((((((((((((r == 0) && (a == (c + ((__int128) b * k)))) && (s == 1)) && (1 <= a)) && (0 <= c)) && (yy == ((long long) y * y))) && ((c + ((__int128) b * 2)) <= 2)) && (q == 0)) && (1 <= b)) && (xy == ((long long) y * x))) && (a == x)) && (x == (c + ((__int128) k * y)))) && (x <= 2)) && (p == 1))) || ((((((((((((((r == 0) && (y <= 2)) && (k == 0)) && (s == 1)) && (1 <= a)) && (b == y)) && (yy == ((long long) y * y))) && (q == 0)) && (1 <= y)) && (xy == ((long long) y * x))) && (a == x)) && (c == x)) && (x <= 2)) && (p == 1))) || ((((((((((((y == 2) && (b == 1)) && (s == 0)) && (p == 0)) && (k == 0)) && (2 == xy)) && (r == 1)) && (c == 2)) && (x == 1)) && (yy == 4)) && (a == 2)) && (q == 1))) || ((((((((((((y == 2) && (b == 1)) && (s == 0)) && (p == 0)) && (2 == xy)) && (r == 1)) && (x == 1)) && (yy == 4)) && (k == 1)) && (a == 2)) && (q == 1)) && (c == 1))) || ((((((((((((y == 2) && (b == 1)) && (s == 0)) && (p == 0)) && (2 == xy)) && (r == 1)) && (x == 1)) && (yy == 4)) && (k == 2)) && (a == 2)) && (c == 0)) && (q == 1))));
@*/
        while (1) {
            __VERIFIER_assert(a == k * b + c);
            __VERIFIER_assert(a == y*r + x*p);
            __VERIFIER_assert(b == x * q + y * s);
	    __VERIFIER_assert(q*xy + s*yy - q*x - b*y - s*y + b == 0);
            if (!(c >= b))
                break;
            c = c - b;
            k = k + 1;
        }

        a = b;
        b = c;

        long long temp;
        temp = p;
        p = q;
        q = temp - q * k;
        temp = r;
        r = s;
        s = temp - s * k;
    }
    

    __VERIFIER_assert(q*x + s*y == 0);
    __VERIFIER_assert(p*x + r*y == a);
    return a;
}