56 lines
1.1 KiB
Markdown
56 lines
1.1 KiB
Markdown
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---
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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, "<code>euler463()</code> should return 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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