2018-10-10 22:03:03 +00:00
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---
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id: 5900f5331000cf542c510046
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2020-12-16 07:37:30 +00:00
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title: 问题455:使用尾随数字的权力
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2018-10-10 22:03:03 +00:00
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challengeType: 5
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videoUrl: ''
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2021-01-13 02:31:00 +00:00
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dashedName: problem-455-powers-with-trailing-digits
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2018-10-10 22:03:03 +00:00
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---
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2020-12-16 07:37:30 +00:00
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# --description--
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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设f(n)是小于109的最大正整数x,使得nx的最后9位数字形成数字x(包括前导零),或者如果不存在这样的整数则为零。
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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例如:
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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f(4)= 411728896(4411728896 = ... 490411728896)f(10)= 0 f(157)= 743757(157743757 = ... 567000743757)Σf(n),2≤n≤103= 442530011399查找Σf(n ),2≤n≤106。
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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# --hints--
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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`euler455()`应该返回450186511399999。
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2018-10-10 22:03:03 +00:00
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```js
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2020-12-16 07:37:30 +00:00
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assert.strictEqual(euler455(), 450186511399999);
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2018-10-10 22:03:03 +00:00
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```
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2021-01-13 02:31:00 +00:00
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# --seed--
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## --seed-contents--
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```js
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function euler455() {
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return true;
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}
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euler455();
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```
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2020-12-16 07:37:30 +00:00
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# --solutions--
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2020-08-13 15:24:35 +00:00
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2021-01-13 02:31:00 +00:00
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```js
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// solution required
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```
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