freeCodeCamp/curriculum/challenges/russian/08-coding-interview-prep/project-euler/problem-435-polynomials-of-fibonacci-numbers.russian.md

---
id: 5900f5201000cf542c510032
challengeType: 5
title: 'Problem 435: Polynomials of Fibonacci numbers'
forumTopicId: 302106
localeTitle: 'Задача 435: Полиномы чисел Фибоначчи'
---

## Description
<section id='description'>
Числа Фибоначчи {fn, n ≥ 0} определяются рекурсивно как fn = fn-1 + fn-2 с базовыми случаями f0 = 0 и f1 = 1. Определим многочлены {Fn, n ≥ 0} как Fn (x) = Σfixi для 0 ≤ i ≤ n. Например, F7 (x) = x + x2 + 2x3 + 3x4 + 5x5 + 8x6 + 13x7 и F7 (11) = 268357683. Пусть n = 1015. Найдите сумму [Σ0≤x≤100 Fn (x)] mod 1307674368000 (= 15!).
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler435()</code> should return 252541322550.
    testString: assert.strictEqual(euler435(), 252541322550);

```

</section>

## Challenge Seed
<section id='challengeSeed'>

<div id='js-seed'>

```js
function euler435() {
  // Good luck!
  return true;
}

euler435();

```

</div>

</section>

## Solution
<section id='solution'>

```js
// solution required
```

</section>