2018-10-10 18:03:03 -04:00
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---
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id: 5900f4d41000cf542c50ffe7
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2020-12-16 00:37:30 -07:00
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title: 问题360:可怕的球体
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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-360-scary-sphere
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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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给定三维空间中的两个点(x1,y1,z1)和(x2,y2,z2),这些点之间的曼哈顿距离定义为| x1-x2 | + | y1-y2 | + | z1-z2 |。
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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C(r)为半径为r且在原点O(0,0,0)中心的球体。设I(r)是C(r)表面上具有整数坐标的所有点的集合。设S(r)是I(r)的所有元素与原点O的曼哈顿距离之和。
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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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例如S(45)= 34518。
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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S(1010)。
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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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`euler360()`应该返回878825614395267100。
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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(euler360(), 878825614395267100);
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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 euler360() {
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return true;
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}
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euler360();
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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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