--description--

An integer is called eleven-free if its decimal expansion does not contain any substring representing a power of 11 except 1.

For example, 2404 and 13431 are eleven-free, while 911 and 4121331 are not.

Let $E(n)$ be the $n$th positive eleven-free integer. For example, $E(3) = 3$, $E(200) = 213$ and $E(500\,000) = 531\,563$.

Find $E({10}^{18})$.

--hints--

elevenFreeIntegers() should return 1295552661530920200.

assert.strictEqual(elevenFreeIntegers(), 1295552661530920200);

--seed--

--seed-contents--

function elevenFreeIntegers() {

  return true;
}

elevenFreeIntegers();

--solutions--

// solution required