2018-10-10 22:03:03 +00:00
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---
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id: 5900f4551000cf542c50ff68
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2020-12-16 07:37:30 +00:00
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title: 问题233:圆上的格点
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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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---
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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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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 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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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 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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`euler233()`应该返回271204031455541300。
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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(euler233(), 271204031455541300);
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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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# --solutions--
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2020-08-13 15:24:35 +00:00
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