// verifast_options{disable_overflow_check target:ILP32}

extern void abort(void);//@ requires true; 
//@ ensures true;

extern void __assert_fail(const char *, const char *, unsigned int, const char *) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__noreturn__));
void reach_error() //@ requires false; 
//@ ensures true;
{ __assert_fail("0", "ps2-ll.c", 3, "reach_error"); }
extern int __VERIFIER_nondet_int(void);//@ requires true; 
//@ ensures true;

extern void abort(void);
void assume_abort_if_not(int cond) //@ requires true; 
//@ ensures true;
{
  if(!cond) {abort();}
}
void __VERIFIER_assert(int cond) //@ requires (1 <= cond); 
//@ ensures (1 <= cond);
{
    if (!(cond)) {
    ERROR:
        {reach_error();}
    }
    return;
}

int main() //@ requires module(ps2_ll__verifast_instrumented_modified, true); 
//@ ensures junk();
{
    int k;
    long long y, x, c;
    k = __VERIFIER_nondet_int();

    y = 0;
    x = 0;
    c = 0;

    while (1)//@ invariant ((x * 2) == (y + (y * y)));
 {
        __VERIFIER_assert((y * y) - 2 * x + y == 0);

        if (!(c < k))
            break;

        c = c + 1;
        y = y + 1;
        x = y + x;
    }
    __VERIFIER_assert((y*y) - 2*x + y == 0);
     
    return 0;
}