void abort() { };

                                                                       
                                                  
                                                                             
                                                                   
                                                  
                                                                             
                                                                              
                                                                             

                                                                                                                                                                
extern unsigned __VERIFIER_nondet_uint();
                        
/*@ 
    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() {
  unsigned A, B;
  unsigned q, r, b;
    A = __VERIFIER_nondet_uint();
    assume_abort_if_not(A>=0 && A<=1);
    B = __VERIFIER_nondet_uint();
    assume_abort_if_not(B>=0 && B<=1);
    assume_abort_if_not(B < (0x7fffffff * 2U + 1U)/2);
    assume_abort_if_not(B >= 1);
    q = 0;
    r = A;
    b = B;
/*@
loop invariant ((((((((B == 1) && (r == A)) && (0 <= (2 * ((((b / 2) + ((long long) -1 * B)) >= 0) ? (((b / 2) + ((long long) -1 * B)) / 4294967296) : ((((b / 2) + ((long long) -1 * B)) / 4294967296) - 1))))) && (A <= 1)) && (b <= ((long long) B * 2))) && (q == 0)) || ((((((b == 1) && (r == A)) && (0 <= 0)) && (A <= 1)) && (B == b)) && (q == 0))));
@*/
    while (1) {
        if (!(r >= b)) break;
        b = 2 * b;
    }
/*@
loop invariant (((((((((B == 1) && (b == 1)) && (r <= 0)) && (r == A)) && (q == 0)) || ((((0 <= 0) && (0 <= 0)) && (A == ((r + ((unsigned long long) b * q)) % 4294967296))) && (B == b))) || ((((((B == 1) && (r == A)) && (0 <= (2 * ((((b / 2) + ((long long) -1 * B)) >= 0) ? (((b / 2) + ((long long) -1 * B)) / 4294967296) : ((((b / 2) + ((long long) -1 * B)) / 4294967296) - 1))))) && (A <= 1)) && (b <= ((long long) B * 2))) && (q == 0))) || (((((B == 1) && (b == 1)) && (r <= 0)) && (A == (((long long) r + 1) % 4294967296))) && (q == 1))));
@*/
    while (1) {
        __VERIFIER_assert(A == q * b + r);
        if (!(b != B)) break;
        q = 2 * q;
        b = b / 2;
        if (r >= b) {
            q = q + 1;
            r = r - b;
        }
    }
    __VERIFIER_assert(A == q * b + r);
    return 0;
}