47 lines
844 B
Markdown
47 lines
844 B
Markdown
---
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id: 5900f4931000cf542c50ffa5
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title: 'Problem 294: Sum of digits - experience #23'
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challengeType: 5
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forumTopicId: 301946
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dashedName: problem-294-sum-of-digits---experience-23
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---
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# --description--
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For a positive integer k, define d(k) as the sum of the digits of k in its usual decimal representation.
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Thus d(42) = 4+2 = 6.
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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.
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You are given that S(9) = 263626 and S(42) = 6377168878570056.
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Find S(1112) and give your answer mod 109.
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# --hints--
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`euler294()` should return 789184709.
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```js
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assert.strictEqual(euler294(), 789184709);
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```
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# --seed--
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## --seed-contents--
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```js
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function euler294() {
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return true;
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}
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euler294();
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```
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# --solutions--
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```js
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// solution required
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```
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