chore(i8n,learn): processed translations

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committed by Mrugesh Mohapatra
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---
id: 5900f5061000cf542c510017
title: 问题409Nim Extreme
title: 'Problem 409: Nim Extreme'
challengeType: 5
videoUrl: ''
forumTopicId: 302077
dashedName: problem-409-nim-extreme
---
# --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。
Let n be a positive integer. Consider nim positions where:There are n non-empty piles.
求W10 000 000mod 1 000 000 007。
Each pile has size less than 2n.
No two piles have the same size.
Let W(n) be the number of winning nim positions satisfying the above
conditions (a position is winning if the first player has a winning strategy). For example, W(1) = 1, W(2) = 6, W(3) = 168, W(5) = 19764360 and W(100) mod 1 000 000 007 = 384777056.
Find W(10 000 000) mod 1 000 000 007.
# --hints--
`euler409()`应该返回253223948
`euler409()` should return 253223948.
```js
assert.strictEqual(euler409(), 253223948);