55 lines
1.1 KiB
Markdown
55 lines
1.1 KiB
Markdown
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---
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id: 5900f52a1000cf542c51003c
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challengeType: 5
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title: 'Problem 445: Retractions A'
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videoUrl: ''
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localeTitle: ''
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---
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## Description
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<section id="description"> Для каждого целого n> 1 семейство функций fn, a, b определяется посредством fn, a, b (x) ≡ax + b mod n для a, b, x integer и 0 <p> Вам дается, что Σ R (c) для c = C (100 000, k) и 1 ≤ k ≤99 999 ≡628701600 (mod 1 000 000 007). (C (n, k) - биномиальный коэффициент). </p><p> Найдите Σ R (c) для c = C (10 000 000, k) и 1 ≤k≤ 9 999 999. Дайте свой ответ по модулю 1 000 000 007. </p></section>
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## Instructions
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undefined
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## Tests
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<section id='tests'>
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```yml
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tests:
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- text: ''
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testString: 'assert.strictEqual(euler445(), 659104042, "<code>euler445()</code> should return 659104042.");'
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function euler445() {
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// Good luck!
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return true;
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}
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euler445();
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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</section>
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