850 B
850 B
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f5271000cf542c510039 | Problem 442: Eleven-free integers | 5 | 302114 | problem-442-eleven-free-integers |
--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