925 B
925 B
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f4931000cf542c50ffa5 | Problem 294: Sum of digits - experience #23 | 5 | 301946 | problem-294-sum-of-digits---experience-23 |
--description--
For a positive integer k
, define d(k)
as the sum of the digits of k
in its usual decimal representation. Thus d(42) = 4 + 2 = 6
.
For a positive integer n
, define S(n)
as the number of positive integers k < {10}^n
with the following properties:
k
is divisible by 23 and,d(k) = 23
.
You are given that S(9) = 263\\,626
and S(42) = 6\\,377\\,168\\,878\\,570\\,056
.
Find S({11}^{12})
and give your answer \bmod {10}^9
.
--hints--
experience23()
should return 789184709
.
assert.strictEqual(experience23(), 789184709);
--seed--
--seed-contents--
function experience23() {
return true;
}
experience23();
--solutions--
// solution required