56 lines
1.6 KiB
Markdown
56 lines
1.6 KiB
Markdown
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---
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id: 5900f53b1000cf542c51004d
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challengeType: 5
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title: 'Problem 462: Permutation of 3-smooth numbers'
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videoUrl: ''
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localeTitle: 问题462:3个平滑数的排列
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---
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## Description
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<section id="description"> 3平滑数是没有素数因子大于3的整数。对于整数N,我们将S(N)定义为小于或等于N的3平滑数的集合。例如,S(20)= {1,2,3,4,6,8,9,12,16,18}。 <p>我们将F(N)定义为S(N)的排列数,其中每个元素都在其所有适当的除数之后。 </p><p>这是N = 20的可能排列之一。 </p><ul><li> 1,2,4,3,9,8,16,6,18,12。这不是有效的排列,因为12在它的除数6之前出现。 </li><li> 1,2,4,3,9,8,12,16,6,18。 </li></ul><p>我们可以验证F(6)= 5,F(8)= 9,F(20)= 450和F(1000)≈8.8521816557e21。找到F(1018)。给出你的答案,它的科学记数在小数点后四舍五入到十位数。在给出答案时,使用小写e来分隔尾数和指数。例如,如果答案是112,233,445,566,778,899,则答案格式为1.1223344557e17。 </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>euler462()</code>应返回Infinity。
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testString: 'assert.strictEqual(euler462(), Infinity, "<code>euler462()</code> should return Infinity.");'
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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 euler462() {
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// Good luck!
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return true;
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}
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euler462();
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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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