2018-10-10 18:03:03 -04:00
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---
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id: 5900f4da1000cf542c50ffec
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2020-12-16 00:37:30 -07:00
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title: 问题365:巨大的二项式系数
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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-365-a-huge-binomial-coefficient
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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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二项式系数C(1018,109)是具有超过90亿(9×109)个数字的数字。
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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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令M(n,k,m)表示二项式系数C(n,k)模m。
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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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计算ΣM(1018,109,p *q* r)为1000 <p <q <r <5000和p,q,r prime。
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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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`euler365()`应该返回162619462356610300。
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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(euler365(), 162619462356610300);
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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 euler365() {
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return true;
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}
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euler365();
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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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