/*
  hardware integer division program, by Manna
  returns q==A//B
  */
void abort() { };
extern void abort();
                                                                                                                                                          
                                                                         
extern unsigned int __VERIFIER_nondet_uint();
                        
/*@ 
    requires (1);
    ensures ((cond != 0));
@*/
void assume_abort_if_not(int cond) {
  if(!cond) {abort();}
}
/*@ 
    requires ((cond != 0)) && (cond != 0);
    ensures ((cond != 0)) && (1);
@*/
void __VERIFIER_assert(int cond) {
    if (!(cond)) {
    ERROR:
        {/*@ assert(0); */;}
    }
    return;
}

int main() {
    unsigned int A, B;
    long long r, d, p, q;
    A = __VERIFIER_nondet_uint();
    assume_abort_if_not(A>=0 && A<=100);
    B = __VERIFIER_nondet_uint();
    assume_abort_if_not(B>=0 && B<=100);
    assume_abort_if_not(B >= 1);

    r = A;
    d = B;
    p = 1;
    q = 0;

/*@
loop invariant ((((((d == B) && (A == r)) && (q == 0)) && (1 <= d)) && (p == 1)));
@*/
    while (1) {
        __VERIFIER_assert(q == 0);
        __VERIFIER_assert(r == A);
        __VERIFIER_assert(d == B * p);
        if (!(r >= d)) break;

        d = 2 * d;
        p = 2 * p;
    }

/*@
loop invariant (((((((((((((0 <= r) && (((__int128) r + 1) <= d)) && (((__int128) d + r) == A)) && (((__int128) r + ((long long) 2 * B)) == ((__int128) A + d))) && (q == 1)) && (p == 1)) || (((((((0 <= (r + ((((__int128) -1 * d) >= 0) ? (((__int128) -1 * d) / 2) : ((((__int128) -1 * d) / 2) - 1)))) && (((__int128) r + 1) <= d)) && (((__int128) A + d) == ((__int128) ((long long) B * 4) + r))) && (((d >= 0) ? (d % 2) : ((d % 2) + 2)) == 0)) && (q == 0)) && (p == 4)) && ((A + ((d >= 0) ? (d / 2) : ((d / 2) - 1))) == ((__int128) r + ((long long) 2 * B))))) || ((((((q == 2) && (0 <= r)) && (p == 2)) && (((__int128) A + d) == ((__int128) ((long long) B * 4) + r))) && (A == ((__int128) r + ((long long) 2 * B)))) && ((((__int128) d + r) + 1) <= ((long long) B * 4)))) || ((((((A == r) && (d == ((long long) 2 * B))) && (((__int128) r + 1) <= d)) && (p == 2)) && (q == 0)) && (B <= r))) || ((((((q == 2) && (B <= 2147483647)) && (((__int128) r + 1) <= ((__int128) d + ((d >= 0) ? (d / 2) : ((d / 2) - 1))))) && (d == (((A + ((__int128) -1 * r)) >= 0) ? ((A + ((__int128) -1 * r)) / 2) : (((A + ((__int128) -1 * r)) / 2) - 1)))) && (A == ((__int128) r + ((long long) 2 * B)))) && (p == 1))) || (((((((((__int128) r + B) + ((__int128) q * B)) == ((__int128) A + d)) && (((__int128) r + 1) <= ((__int128) d + ((d >= 0) ? (d / 2) : ((d / 2) - 1))))) && (((__int128) r + ((long long) 2 * B)) <= 4294967295)) && ((r + ((__int128) q * B)) == A)) && (((__int128) d + ((long long) 2 * B)) <= 4294967295)) && (p == 1))) || ((((d == B) && (A == r)) && (q == 0)) && (p == 1))));
@*/
    while (1) {
        __VERIFIER_assert(A == q*B + r);
        __VERIFIER_assert(d == B*p);

        if (!(p != 1)) break;

        d = d / 2;
        p = p / 2;
        if (r >= d) {
            r = r - d;
            q = q + p;
        }
    }

    __VERIFIER_assert(A == d*q + r);
    __VERIFIER_assert(B == d);    
    return 0;
}