2018-10-10 22:03:03 +00:00
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---
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id: 5900f4531000cf542c50ff66
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2020-12-16 07:37:30 +00:00
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title: 问题231:二项式系数的素因子化
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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-231-the-prime-factorisation-of-binomial-coefficients
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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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二项式系数10C3 = 120. 120 = 23×3×5 = 2×2×2×3×5,并且2 + 2 + 2 + 3 + 5 = 14.因此,素数因子分解中的项的总和为10C3是14岁。
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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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找出素数因子分解中的术语总和为20000000C15000000。
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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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`euler231()`应该返回7526965179680。
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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(euler231(), 7526965179680);
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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 euler231() {
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return true;
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}
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euler231();
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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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