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---
id: 5900f5061000cf542c510017
challengeType: 5
title: 'Problem 409: Nim Extreme'
videoUrl: ''
localeTitle: 问题409Nim Extreme
---
## Description
<section id="description">设n是正整数。考虑nim位置有n个非空桩。每堆的尺寸小于2n。没有两个桩具有相同的尺寸。设Wn是满足上述条件的获胜nim位置的数量如果第一个玩家具有获胜策略则获胜的位置。例如W1= 1W2= 6W3= 168W5= 19764360W100mod 1 000 000 007 = 384777056。 <p>求W10 000 000mod 1 000 000 007。 </p></section>
## Instructions
<section id="instructions">
</section>
## Tests
<section id='tests'>
```yml
tests:
- text: <code>euler409()</code>应该返回253223948。
testString: 'assert.strictEqual(euler409(), 253223948, "<code>euler409()</code> should return 253223948.");'
```
</section>
## Challenge Seed
<section id='challengeSeed'>
<div id='js-seed'>
```js
function euler409() {
// Good luck!
return true;
}
euler409();
```
</div>
</section>
## Solution
<section id='solution'>
```js
// solution required
```
</section>