844 B
844 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 < 10n with the following properties : k is divisible by 23 and d(k) = 23.
You are given that S(9) = 263626 and S(42) = 6377168878570056.
Find S(1112) and give your answer mod 109.
--hints--
euler294()
should return 789184709.
assert.strictEqual(euler294(), 789184709);
--seed--
--seed-contents--
function euler294() {
return true;
}
euler294();
--solutions--
// solution required