2018-10-10 22:03:03 +00:00
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---
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id: 5900f4e51000cf542c50fff8
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2020-12-16 07:37:30 +00:00
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title: 问题377:数字之和,经验13
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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-377-sum-of-digits-experience-13
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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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有16个正整数,它们的数字没有零,并且数字和等于5,即:5,14,23,32,41,113,122,131,212,221,311,1112, 1121年,1211年,2111年和1111年。他们的总和是17891。
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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)为所有正整数的和,它们的数字不为零,数字和等于n。
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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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找到$ \\ displaystyle \\ sum\_ {i = 1} ^ {17} f(13 ^ i)$。将最后9位数字作为答案。
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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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`euler377()`应该返回732385277。
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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(euler377(), 732385277);
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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 euler377() {
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return true;
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}
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euler377();
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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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