2018-10-10 18:03:03 -04:00
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---
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id: 5900f4551000cf542c50ff68
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2020-12-16 00:37:30 -07:00
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title: 问题233:圆上的格点
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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-233-lattice-points-on-a-circle
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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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令f(N)是在通过(0,0),(N,0),(0,N)和(N,N)的圆上具有整数坐标的点的数量。可以证明f(10000)= 36。
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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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所有正整数N≤1011的总和是多少,f(N)= 420?
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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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`euler233()`应该返回271204031455541300。
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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(euler233(), 271204031455541300);
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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 euler233() {
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return true;
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}
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euler233();
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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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