2018-10-10 18:03:03 -04:00
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---
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id: 5900f5361000cf542c510049
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2020-12-16 00:37:30 -07:00
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title: 问题458:项目的排列
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2018-10-10 18:03:03 -04:00
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challengeType: 5
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videoUrl: ''
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2021-01-13 03:31:00 +01:00
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dashedName: problem-458-permutations-of-project
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2018-10-10 18:03:03 -04:00
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---
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2020-12-16 00:37:30 -07:00
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# --description--
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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考虑由“项目”一词的字母组成的字母A:A = {c,e,j,o,p,r,t}。令T(n)为长度为n的字符串数,该字符串由来自A的字母组成,其中没有子字符串,该子字符串是“项目”的5040个排列之一。
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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T(7)= 77-7!= 818503。
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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找到T(1012)。给出答案的最后9位数字。
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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# --hints--
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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`euler458()`应该返回423341841。
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2018-10-10 18:03:03 -04:00
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```js
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2020-12-16 00:37:30 -07:00
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assert.strictEqual(euler458(), 423341841);
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2018-10-10 18:03:03 -04:00
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```
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2021-01-13 03:31:00 +01:00
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# --seed--
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## --seed-contents--
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```js
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function euler458() {
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return true;
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}
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euler458();
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```
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2020-12-16 00:37:30 -07:00
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# --solutions--
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2020-08-13 17:24:35 +02:00
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2021-01-13 03:31:00 +01:00
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```js
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// solution required
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```
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