c18554dd44
* fix: clean-up Project Euler 341-360 * fix: improve wording Co-authored-by: Sem Bauke <46919888+Sembauke@users.noreply.github.com> * fix: corrections from review Co-authored-by: Tom <20648924+moT01@users.noreply.github.com> Co-authored-by: Sem Bauke <46919888+Sembauke@users.noreply.github.com> Co-authored-by: Tom <20648924+moT01@users.noreply.github.com>
49 lines
951 B
Markdown
49 lines
951 B
Markdown
---
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id: 5900f4d41000cf542c50ffe7
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title: 'Problem 360: Scary Sphere'
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challengeType: 5
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forumTopicId: 302021
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dashedName: problem-360-scary-sphere
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---
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# --description--
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Given two points ($x_1$, $y_1$, $z_1$) and ($x_2$, $y_2$, $z_2$) in three dimensional space, the Manhattan distance between those points is defined as $|x_1 - x_2| + |y_1 - y_2| + |z_1 - z_2|$.
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Let $C(r)$ be a sphere with radius $r$ and center in the origin $O(0, 0, 0)$.
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Let $I(r)$ be the set of all points with integer coordinates on the surface of $C(r)$.
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Let $S(r)$ be the sum of the Manhattan distances of all elements of $I(r)$ to the origin $O$.
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E.g. $S(45)=34518$.
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Find $S({10}^{10})$.
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# --hints--
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`scarySphere()` should return `878825614395267100`.
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```js
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assert.strictEqual(scarySphere(), 878825614395267100);
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```
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# --seed--
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## --seed-contents--
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```js
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function scarySphere() {
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return true;
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}
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scarySphere();
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```
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# --solutions--
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```js
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// solution required
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```
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