2018-10-10 18:03:03 -04:00
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---
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id: 5900f43c1000cf542c50ff4e
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challengeType: 5
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title: 'Problem 207: Integer partition equations'
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videoUrl: ''
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localeTitle: 问题207：整数分区方程
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---
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## Description
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<section id="description">对于一些正整数k，存在形式为4t = 2t + k的整数分区，其中4t，2t和k都是正整数而t是实数。 <p>前两个这样的分区是41 = 21 + 2和41.5849625 ...... = 21.5849625 ... + 6。 </p><p> t也是整数的分区称为完美。对于任何m≥1，让P（m）为k≤m的完美分区的比例。因此P（6）= 1/2。 </p><p>在下表中列出了一些P（m）P（5）= 1/1 P（10）= 1/2 P（15）= 2/3 P（20）= 1/2 P（25）= 1/2 P（30）= 2/5 ... P（180）= 1/4 P（185）= 3/13 </p><p>找到P（m）<1/12345的最小m </p></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>euler207()</code>应该返回44043947822。
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2020-02-18 01:40:55 +09:00
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testString: assert.strictEqual(euler207(), 44043947822);
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2018-10-10 18:03:03 -04:00
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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 euler207() {
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// Good luck!
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return true;
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}
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euler207();
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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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