fix: replace .chinese.md extension with .md
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---
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id: 5900f48d1000cf542c50ffa0
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challengeType: 5
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title: 'Problem 289: Eulerian Cycles'
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videoUrl: ''
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localeTitle: 问题289:欧拉循环
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---
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## Description
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<section id="description">
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令C(x,y)为穿过点(x,y),(x,y + 1),(x + 1,y)和(x + 1,y + 1)的圆。
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对于正整数m和n,令E(m,n)为由m·n个圆组成的配置:
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{C(x,y):0≤x <m,0≤y <n,x和y是整数}
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E(m,n)上的欧拉循环是一条闭合路径,它恰好通过每个圆弧一次。
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E(m,n)上可能有许多这样的路径,但是我们只对那些不会自交叉的路径感兴趣:
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非相交路径仅在格点处触碰自身,但从未相交。
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下图显示了E(3,3)和一个欧拉非交叉路径的示例。
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令L(m,n)为E(m,n)上的欧拉非交叉路径数。
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例如,L(1,2)= 2,L(2,2)= 37,L(3,3)= 104290。
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找出L(6,10)mod 1010。
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</section>
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## Instructions
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<section id="instructions">
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</section>
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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: <code>euler289()</code>应该返回6567944538。
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testString: assert.strictEqual(euler289(), 6567944538);
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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 euler289() {
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// Good luck!
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return true;
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}
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euler289();
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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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