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:

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);

function experience23() {

  return true;
}

experience23();

// solution required