61460c8601
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57 lines
1.1 KiB
Markdown
57 lines
1.1 KiB
Markdown
---
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id: 5900f53c1000cf542c51004e
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challengeType: 5
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title: 'Problem 463: A weird recurrence relation'
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videoUrl: ''
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localeTitle: 问题463：一种奇怪的复发关系
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---
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## Description
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<section id="description">函数$ f $定义为所有正整数，如下所示：$ f（1）= 1 $ $ f（3）= 3 $ $ f（2n）= f（n）$ $ f（4n + 1）= 2f （2n + 1） - f（n）$ $ f（4n + 3）= 3f（2n + 1） - 2f（n）$ <p>函数$ S（n）$定义为$ \ sum_ {i = 1} ^ {n} f（i）$。 $ S（8）= 22 $和$ S（100）= 3604 $。找到$ S（3 ^ {37}）$。给出答案的最后9位数字。 </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>euler463()</code>应该返回808981553。
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testString: assert.strictEqual(euler463(), 808981553);
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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 euler463() {
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// Good luck!
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return true;
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}
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euler463();
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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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