2018-10-10 18:03:03 -04:00
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---
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id: 5900f52a1000cf542c51003c
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2020-12-16 00:37:30 -07:00
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title: 问题445:撤回A.
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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-445-retractions-a
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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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对于每个整数n> 1,函数族fn,a,b由fn,a,b(x)≡ax+ b mod n定义为a,b,x整数和0
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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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对于c = C(100 000,k),1≤k≤99999≡628701600(mod 1 000 000 007),给出ΣR(c)。 (C(n,k)是二项式系数)。
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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ΣR(c)得c = C(10 000 000,k),1≤k≤9999 999.给出你的答案模1 000 000 007。
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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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`euler445()`应该返回659104042。
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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(euler445(), 659104042);
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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 euler445() {
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return true;
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}
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euler445();
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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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